zbMath0506.70016MaRDI QIDQ1837004
M. A. Lieberman, Allan J. Lichtenberg
Publication date: 1983
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Study of a dynamical system with a strange attractor and invariant tori ⋮
An elementary information macrodynamic model of a market economic system ⋮
A difference characteristic for one-dimensional deterministic systems ⋮
Regimes of stability of accelerator modes ⋮
Fractality of deterministic diffusion in the nonhyperbolic climbing sine map ⋮
Irregular diffusion in the bouncing ball billiard ⋮
On quasi-periodic motions around the collinear libration points in the real Earth-Moon system ⋮
Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies ⋮
Effect of nonsinusoidal periodic forces in Duffing oscillator: numerical and analog simulation studies ⋮
Chaotic synchronization of two complex nonlinear oscillators ⋮
Dynamics of two satellites in the 2/1 mean-motion resonance: application to the case of Enceladus and Dione ⋮
Estimation of the sojourn time of a weakly perturbed Lagrangian system in a given region ⋮
Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems ⋮
Resonant radial oscillations of an inhomogeneous gas in the frustum of a cone ⋮
Chaotic transport and mixing of a passive admixture by vortex flows behind obstacles ⋮
A high accuracy stochastic estimation of a nonlinear deterministic model ⋮
Vanishing stability thresholds in the thermodynamic limit of nonintegrable conservative systems ⋮
Regular dynamics of canonical post-Newtonian Hamiltonian for spinning compact binaries with next-to-leading order spin-orbit interactions ⋮
Fick's law and Fokker-Planck equation in inhomogeneous environments ⋮
On the quantum Fermi accelerator and its relevance to ``quantum chaos ⋮ Phase convection and distribution ``tails in periodically driven Brownian motion ⋮
Rotation number and Lyapunov exponent in two-dimensional maps ⋮
Parametric instabilities in the discrete sine-Gordon equation ⋮
Directed transient long-range transport in a slowly driven Hamiltonian system of interacting particles ⋮
Periodic librations and their effect on the quantum energy spectrum ⋮
A convergence-improving iterative method for computing periodic orbits near bifurcation points ⋮
Instability criterion for multidimensional nonlinear Hamiltonian systems ⋮
On the geometry of transport in phase space. I. Transport in k-degree-of- freedom Hamiltonian systems, \(2\leq k<\infty\) ⋮
Phase-integral quantization of accidentally and intrinsically degenerate nonlinear systems ⋮
Periodic entrainment of chaotic logistic map dynamics ⋮
Transport rates of a class of two-dimensional maps and flows ⋮
Foliations of isonergy surfaces and singularities of curves ⋮
Global aspects of turbulence induced by heteroclinic cycles in competitive diffusion Lotka-Volterra equation ⋮
Quantum-classical correspondence and the role of the dipole function in molecular dissociation ⋮
Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮
Almost periodic solutions for an impulsive delay model of price fluctuations in commodity markets ⋮
Irregular mixing due to a vortex pair interacting with a fixed vortex ⋮
Numerical test of Born-Oppenheimer approximation in chaotic systems ⋮
A perturbative algorithm for quasi-periodic linear systems close to constant coefficients ⋮
Topology of stirring in two-dimensional turbulence: Point vortex in a time-dependent ambient strain ⋮
Patrol mobile robots and chaotic trajectories ⋮
A dynamical phase transition of binary species BECs mixtures in a double well potential ⋮
Cross-like surface waves between finite cylindrical shells ⋮
On periodic orbits of nonlinear dynamical systems with many degrees of freedom ⋮
A computer aided analysis of the Sitnikov problem ⋮
An introduction to Hamiltonian dynamical systems and practical perturbation methods: New insight by successive elimination of perturbation harmonics ⋮
Resonant motion in the restricted three-body problem ⋮
Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping ⋮
Chaos and dynamics of spinning particles in Kerr spacetime ⋮
A Bayesian nonparametric study of a dynamic nonlinear model ⋮
Chaos theory yesterday, today and tomorrow ⋮
On the geometrical characteristics of chaotic dynamics. I ⋮
Hamiltonian chaos in nonlinear optical polarization dynamics ⋮
Chaotic time series analysis ⋮
Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion ⋮
Non-reversible evolution of quantum chaotic system. Kinetic description ⋮
Nonextensive and superstatistical generalizations of random-matrix theory ⋮
A REDUCE program for the normalization of polynomial Hamiltonians ⋮
On stabilization of energy for Hamiltonian systems ⋮
A new local linear prediction model for chaotic time series ⋮
Nonlinear processes in Hamiltonian reconnection ⋮
Statistics of strange attractors by generalized cell mapping ⋮
Four-dimensional mapping model for two-frequency electron cyclotron resonance heating ⋮
Dynamics of a nonlinear oscillator and a low-amplitude frequency- modulated wave ⋮
Effects of noise on some dynamical models in ecology ⋮
On integrable mappings of standard type ⋮
Dynamical portrait of the Lixiaohua asteroid family ⋮
The reversible umbilic bifurcation ⋮
Bifurcations and Lyapunov exponents in chaotic reaction-diffusion systems ⋮
A standard perspective on ghosts ⋮
Diffusion in Hamiltonian systems with a small stochastic perturbation ⋮
Passive scalars and three-dimensional Liouvillian maps ⋮
The influence of Basset force on particle dynamics in two-dimensional flows ⋮
Resonant advection by oscillatory flow in a curved pipe ⋮
Hamiltonian maps and transport in structured fluids ⋮
Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case ⋮
The influence of multiple frequency perturbations on particle chaotization in a cell ⋮
Splitting of separatrices for the Chirikov standard map ⋮
Deterministic escape of a dimer over an anharmonic potential barrier ⋮
Dynamics of a charged particle in a progressive plane wave ⋮
Effects of symmetry breaking in finite quantum systems ⋮
New periodic orbits and basins for families of resonant normal forms ⋮
Diffusion of particles in a slowly modulated wave ⋮
Numerically induced stochasticity ⋮
Structure of an adaptive grid computational method from the viewpoint of dynamic chaos ⋮
Decoupling of dissipative flows by interval normal forms in the Poincaré domain ⋮
Geometry and dynamics of stable and unstable cylinders in Hamiltonian systems ⋮
Convergence of the \(K_ 2\) entropy for random noises with power law spectra ⋮
Classical structures in the quantized Baker transformation ⋮
Stochasticity in dynamical systems and the curvature of the associated Riemannian manifold ⋮
Random walk analysis of quantum chaos ⋮
The nature of the bufferness phenomenon in weakly dissipative systems ⋮
Soliton turbulence in one-dimensional cellular automata ⋮
A universal sequence of periodic-doubling bifurcations of the forced oscillations of a pendulum ⋮
Quantum to classical correspondence for the Fermi-acceleration model ⋮
Integrable symplectic maps ⋮
Calculation of Lyapunov exponents for dynamic systems with discontinuities. ⋮
Nonlinear dynamics and solitons in the presence of rapidly varying periodic perturbations. ⋮
Nonmonotonic maps and related bifurcations in laser accelerators. ⋮
The pendulum as a dynamical billiard. ⋮
Diffusion in the standard map ⋮
Optimal oscillation-center transformations ⋮
Resonance bands in a two degree of freedom Hamiltonian system ⋮
Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems ⋮
Transient chaotic distributions in dissipative systems ⋮
An iterated implicit complex map ⋮
How a swing behaves ⋮
Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations ⋮
Computation of quasi-periodic solutions of forced dissipative systems II ⋮
Invariant tori through direct solution of the Hamilton-Jacobi equation ⋮
A hyperbolic twist mapping model for the study of asteroid orbits near the 3:1 resonance ⋮
Solitons as invariant tori in the perturbed nonlinear Schrödinger equation ⋮
Chaotic behavior in the dynamical system of a continuous stirred tank reactor ⋮
Disk galaxies and dynamical systems with nonnegative curvature ⋮
Statistical description of chaotic attractors: the dimension function ⋮
Computation of the largest Lyapunov exponent by the generalized cell mapping ⋮
A numerical study of caustics and polarizations of seismic waves interacting with three-dimensional geological structures ⋮
Life on a regular polygon: Maps induced by spatially extended prey- predator equations ⋮
Internal resonances in nonlinearly-coupled oscillators ⋮
Relative chaos in stellar systems ⋮
Spectral properties of the scaled quartic anharmonic oscillator ⋮
A linear code for the sawtooth and cat maps ⋮
Periodic orbits of the sawtooth maps ⋮
New graphical method for the iteration of one-dimensional maps ⋮
Development of stochastic webs in a wave-driven linear oscillator ⋮
The dynamics of phase locking and points of resonance in a forced magnetic oscillator ⋮
On the origin of chaos in gearbox models ⋮
Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator ⋮
Example of order and disorder: \(x_{n+1}=(Ax_ n+B)\,mod\,C\) ⋮
Quantum chaos: Localization vs. ergodicity ⋮
Diffusion in two-dimensional mappings ⋮
The quantized Baker's transformation ⋮
Normal form solutions of dynamical systems in the basin of attraction of their fixed points ⋮
The calculation of resonance separatrices for the near-integrable case of the standard mapping ⋮
Analytics of period doubling ⋮
Irregular scattering ⋮
Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors ⋮
Classical chaos and quantum level density of an anharmonic oscillator ⋮
Application of nonlinear mapping theory to commodity price fluctuations ⋮
Quantum integrability and action operators in spin dynamics ⋮
Introduction to quantum chaos ⋮
On the classical-quantum correspondence for periodically time dependent systems ⋮
The unusual nature of the quantum Baker's transformation ⋮
Undecidability and incompleteness in classical mechanics ⋮
Patterns in chaos ⋮
A semiclassical theory of quasienergies and Floquet wave functions ⋮
Coupled map model with a conserved order parameter ⋮
Numerical studies on chaotic planar motion of satellites in an elliptic orbit ⋮
Transport in two-dimensional maps: Concepts, examples, amd a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival ⋮
Period doubling solitons: Yes or no? ⋮
Deterministic fractal events generated by a two-dimensional map ⋮
Minimal normal forms in harmonic oscillations with small nonlinear perturbations ⋮
Subdiffusive transport in stochastic webs ⋮
Critical function for the standard map ⋮
Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics ⋮
Synchronizing the chaotic oscillations by external force ⋮
Quasi-energies, loss-energies and stochasticity ⋮
Symplectic integrators for long-term integrations in celestial mechanics ⋮
Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on Smale horseshoes ⋮
Rigorous diffusion properties for the sawtooth map ⋮
The classical limit of Floquet operators with singular spectrum ⋮
An investigation of sound ray dynamics in the ocean volume using an area preserving mapping ⋮
Chaotic motion versus stochastic excitation ⋮
Exact numerical studies of Hamiltonian maps: Iterating without roundoff error ⋮
Diffusion coefficients for higher dimensional symplectic maps on the cylinder ⋮
A physical interpretation of the Hénon map ⋮
Dynamics of periodic comets and meteor streams ⋮
Resonance trapping in dissipative and antidissipative systems: an ergodic approach ⋮
A note on uniqueness of the normal form for quasi-integrable systems ⋮
Chaos and the approach to equilibrium in a discrete sine-Gordon equation ⋮
Bifurcation of periodic orbits near a frequency maximum in near- integrable driven oscillators with friction ⋮
Application of Newton's method to Lagrangian mappings ⋮
Diffusion on a chaotic attractor ⋮
An operational test for distinguishing between complicated and chaotic behavior in deterministic systems ⋮
Transformation of chaotic nonlinear polynomial difference systems through Newton iterations ⋮
Finite temperature effects in the nonintegrable \(SU(3)\) Lipkin model ⋮
Theory of fast Arnold diffusion in many-frequency systems ⋮
Basins of periodic orbits for elliptic maps of the torus ⋮
Resonant response of a thermalized ensemble of nonlinear oscillators ⋮
Wave chaos in quantum systems with point interaction ⋮
Poincaré sections of Hamiltonian systems ⋮
Asteroid motion near the 3:1 resonance ⋮
Branching solutions and Lie series ⋮
Algorithms for controlling chaotic motion: Application for the BVP oscillator ⋮
Frequency analysis for multi-dimensional systems. Global dynamics and diffusion ⋮
Parallel integration of ODEs based on convolution algorithms ⋮
Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice ⋮
Kolmogorov stability, the impossibility of Fermi acceleration and the existence of periodic solutions in some Hamiltonian-type systems ⋮
Resonant motion of a spherical pendulum ⋮
Resonantly forced motion of two quadratically coupled oscillators ⋮
Power-law behavior of Lyapunov exponents in some conservative dynamical systems ⋮
Small polaron dynamics: A self-consistent nonlinear spin-field model ⋮
A chaotic mapping that displays its own homoclinic structure ⋮
Nonlinear dynamics of the heartbeat. II: Subharmonic bifurcations of the cardiac interbeat interval in sinus node disease ⋮
Analytical calculation of invariant distributions on strange attractors ⋮
A theory of modulational diffusion ⋮
Universality from resonance renormalization of Hamiltonian maps ⋮
An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations ⋮
Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling ⋮
Correlation properties of dynamical chaos in Hamiltonian systems ⋮
Non-dispersive wave packets in periodically driven quantum systems ⋮
Lyapunov exponents, path-integrals and forms ⋮
Chaotic tatonnement ⋮
Peeling the onion of order and chaos in a high-dimensional Hamiltonian system ⋮
Arnold and Arnold-like diffusion in many dimensions ⋮
Diffusion rates in a 4-dimensional mapping model of accelerator dynamics ⋮
A refined formula for the separatrix splitting for the standard map ⋮
Apparent transition to ergodicity in the autonomous Fermi system ⋮
Constants of motion for superconducting Josephson arrays ⋮
Hamiltonian bifurcations leading to chaos in a low-energy relativistic wave-particle system ⋮
Hamiltonian chaos in the discrete nonlinear Schrödinger equation ⋮
Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems ⋮
Hamiltonian formulation of the equations of streamlines in three- dimensional steady flows ⋮
Resonant and chaotic advection in a curved pipe ⋮
An analytical study of chaotic stirring in tidal areas ⋮
Chaotic, regular and unbounded behaviour in the elastic impact oscillator ⋮
The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness ⋮
Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion? ⋮
Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮
The regularity-chaos-regularity transition in a periodically driven anharmonic oscillator ⋮
Nonintegrable three-mode interaction in the Zakharov equations ⋮
Chaotic behavior in digital filters ⋮
Chaos in a variable mass relaxation oscillator model for the leaky tap ⋮
Invariant manifolds and their stability in a three-dimensional measure-preserving mapping system ⋮
Semiclassical estimates for Weyl quantisation ⋮
Spectra of stretching numbers and helicity angles in dynamical systems ⋮
A model of modulated diffusion. I: Analytical results ⋮
The simplified Fermi accelerator in classical and quantum mechanics ⋮
Mapping and dynamical systems ⋮
Quantum surface of section method: eigenstates and unitary quantum Poincaré evolution ⋮
Chaos and direct numerical simulation in turbulence ⋮
Third-order resonance in a Hamiltonian system with one degree of freedom ⋮
Nonlinear wave-wave interactions in astrophysical and space plasmas ⋮
Nonlinear physics: integrability, chaos and beyond ⋮
A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos ⋮
Divergences of the semiclassical \(S\)-matrix formula in irregular scattering ⋮
Transition to chaos in the conservative four-wave parametric interactions ⋮
Chaos and quantum irreversibility ⋮
Diffusion, effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics ⋮
Finite time Lyapunov exponent and advection-diffusion equation ⋮
On changing the size of the atmosphere of a vortex pair embedded in a periodic external shear flow ⋮
Wave localization as a manifestation of ray chaos in underwater acoustics ⋮
Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity. ⋮
Stable classical configurations in strongly driven helium. ⋮
Reconnection of unstable manifolds and change in transport properties. ⋮
Global periodic structure of integrable Duffing's maps. ⋮
``Oscillator--wave model: Properties and heuristic instances. ⋮ Determining the optimal frequency of perturbation in the problem of chaotic transport of particles ⋮ Bifurcation-reconnection sequences in nonpendular resonance ⋮ A revision of the Lyapunov exponent in \(1\)D quadratic maps ⋮ Chaotic Hamiltonian dynamics of particle's horizontal motion in the atmosphere. ⋮ Passive scalars, three-dimensional volume-preserving maps, and chaos ⋮ Chaotic motion of colliding oscillators ⋮ Integrability and approximation in Kerr space-time ⋮ Approximation of chaotic systems in terms of Markovian processes ⋮ Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems ⋮ A simple reconnecting map ⋮ Two interacting hard disks within a circular cavity: towards a quasi-equilibrium quantal equation of states ⋮ Stochastic modeling of MHD turbulence in magnetized plasma ⋮ Splitting of separatrices and symbolic dynamics for some degenerate standard-like maps ⋮ A chaotic limit cycle paradox ⋮ Chaotic motion of comets in near-parabolic orbit: Mapping approaches ⋮ Mapping models for near-conservative systems with applications ⋮ Computation of Lyapunov exponents in general relativity ⋮ Transport in two-dimensional maps ⋮ Bifurcation of solutions and polynomial integrals in an invertible system on a torus ⋮ Probabilistic analysis of a nonlinear pendulum ⋮ Quasi-energy statistics for regular and chaotic regimes in quantum systems with Hamiltonians periodic in time ⋮ Fractal geometry for images of continuous embeddings of \(p\)-adic numbers and solenoids into Euclidean spaces ⋮ On the singularity analysis of intersecting separatrices in near- integrable dynamical systems ⋮ Stochastic and deterministic dissociation dynamics of a Morse oscillator driven by impulsive interactions ⋮ Computation, continuation, and bifurcation of torus solutions for dissipative maps and ordinary differential equations ⋮ On the application of normal forms near attracting fixed points of dynamical systems ⋮ Low-temperature quasi-classical approximation for quantum macroscopic phenomena ⋮ On the quasi-classical limit of the quadratic susceptibility ⋮ A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian ⋮ Chaotic causal trajectories: The role of the phase of stationary states ⋮ Invariant properties of a class of exactly solvable mixing transformations --- a measure-theoretical approach to model the evolution of material lines advected by chaotic flows ⋮ Chaotic magnetic field lines in a tokamak with resonant helical windings ⋮ Symbolic dynamics of infinite depth: Finding global invariants for BVPs ⋮ Nonlinear models of geophysical hydrodynamics and the problem of forecasting stream patterns. II. ⋮ Dynamical localization and signatures of classical phase space ⋮ Breaking time reversal symmetry in chaotic driven Rydberg atoms ⋮ Dimensionality differences between sticky and non-sticky chaotic trajectory segments in a 3D Hamiltonian system ⋮ Chaotic quantum motion in a space-time periodic potential: An exactly solvable model ⋮ Manifold reconnection and diffusion in strong chaos ⋮ Chaos, fractional kinetics, and anomalous transport ⋮ The Hamiltonian perturbation approach of two interacting nonlinear waves or solitary pulses in an optical coupler ⋮ Completely mixing quantum open systems and quantum fractals ⋮ Resonance-assisted tunneling ⋮ Superexponential stability of KAM tori. ⋮ Static and time-dependent perturbations of the classical elliptical billiard. ⋮ Towards chaos criterion in quantum field theory ⋮ Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems ⋮ Dynamical evolution of a self-organized-critical percolation model ⋮ Wannier-Stark resonances in optical and semiconductor superlattices ⋮ Noise-induced order phenomenon in semiquantum system ⋮ Induced intensity correlations in arrays of coupled Kerr waveguides ⋮ On non-measurable sets and invariant tori ⋮ Approximate first-order solutions of non-linear dynamical mappings ⋮ Steady and perturbed motion of a point vortex along a boundary with a circular cavity ⋮ Quantum kicked rotor and its variants: chaos, localization and beyond ⋮ Anomalous diffusion in umbrella comb ⋮ Bifurcation and chaos in drillstring dynamics ⋮ Removal of resonances by rotation in linearly degenerate two-dimensional oscillator systems ⋮ Chaotic streamlines and a strange nonchaotic attractor in divergence-free flows on the 3-sphere ⋮ Calculation of diffusion coefficients for chaotic maps ⋮ Local Lyapunov exponents in chaotic systems ⋮ Parametric instabilities in underdense plasma and stochastic heating of electrons ⋮ Dynamics of hidden attractors in four-dimensional dynamical systems with power law ⋮ Unnamed Item ⋮ Is Navier–Stokes turbulence chaotic? ⋮ Dynamics of impacts with a table moving with piecewise constant velocity ⋮ Characterization of complex behaviors of TCP/RED computer networks based on nonlinear time series analysis methods ⋮ Nonlinear stability of fluid and plasma equilibria ⋮ The numerical search for the internal dynamics of NHIMs and their pictorial representation ⋮ The existence of a chaotic region due to the overlap of secular resonances \(\nu_ 5\) and \(\nu_ 6\) ⋮ Visualization of strange attractors ⋮ The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori ⋮ Dynamic expansion points: an extension to Hadjidemetriou's mapping method ⋮ Product normal forms for families of symplectic maps with symmetries ⋮ Stochastic electron motion in magnetically insulated diodes ⋮ Velocity diffusion in two-frequency electron cyclotron resonance heating ⋮ Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry ⋮ Computer Algebra Implementation of Lie Transforms for Hamiltonian Systems: Application to the Nonlinear Stability ofL4 ⋮ Quadratic resonance in the three-dimensional oscillations of inviscid drops with surface tension ⋮ Chaotic advection in a Stokes flow ⋮ A generic impulsive controller for Hamiltonian linear time-periodic systems ⋮ Linear relativistic gyrokinetic equation ⋮ Unnamed Item ⋮ Global chaotization of fluid particle trajectories in a sheared two-layer two-vortex flow ⋮ Cumulant analysis of the statistical properties of a deterministically thermostated harmonic oscillator ⋮ About the third integral of charged particle motion in strongly curved magnetic fields ⋮ Plasma current sustained by fusion charged particles in a field-reversed configuration ⋮ Local parametric instability near elliptic points in vortex flows under shear deformation ⋮ Response of MDOF strongly nonlinear systems to fractional Gaussian noises ⋮ On the Theory of Intermittency in 1D Maps ⋮ Phase space density representation of inviscid fluid dynamics ⋮ Transport in Hamiltonian systems with slowly changing phase space structure ⋮ Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos ⋮ Chaos in a quartic dynamical model ⋮ Stochasticity reduction ⋮ Relativistic structure of stochastic wave–particle interaction ⋮ May chaos always be suppressed by parametric perturbations? ⋮ Comparison of the Newtonian and relativistic predicted trajectories for a low-speed periodically delta-kicked system ⋮ Field-line stochasticity in a Tokamak with an Ergodic Magnetic Limiter ⋮ RAY CHAOS IN UNDERWATER ACOUSTICS AND ITS APPLICATION ⋮ Global Symplectic Polynomial Approximation of Area-Preserving Maps ⋮ Recycling diffusion in sawtooth and cat maps ⋮ Dynamical tracking of unstable periodic orbits ⋮ Targeting and stabilizing chaotic trajectories in the standard map ⋮ Electronic shell structure of large metallic clusters in the modified harmonic oscillator. ⋮ Chaos and energy redistribution in the nonlinear interaction of two spatio-temporal wave triplets ⋮ Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results ⋮ Phase-locking and resonant islands in the Zakharov equations ⋮ Quantum dephasing by chaos ⋮ Uniform stochastic web in low-dimensional Hamiltonian systems ⋮ Classical and quantum dynamics of the \(n\)-dimensional kicked rotator ⋮ Properties of the trajectories in Bohmian mechanics ⋮ Extended convergence of normal forms around unstable equilibria ⋮ New perturbation algorithms for time-dependent quantum systems. ⋮ Renormalization invariance of a Hamiltonian system near the saddle point. ⋮ Integrable four vortex motion ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Enhancement of particle trapping in the wave-particle interaction ⋮ Topologically stable subharmonics of large periods and amplitudes ⋮ Periodic orbits of the planetary type and their stability ⋮ Monte Carlo modelling of cometary dynamics ⋮ On resonance ⋮ Plasma kinetic theory without the Markovian approximation. II ⋮ Perturbative renormalization analysis of the Poincaré-Birkhoff resonance in 2-D symplectic map ⋮ Fundamental concepts of classical chaos I ⋮ Shear migration and chaotic mixing of particle suspensions in a time-periodic lid-driven cavity ⋮ Quadratic Hamiltonians on non-symmetric Poisson structures ⋮ Birth of oscillation in coupled non-oscillatory Rayleigh-Duffing oscillators ⋮ Satellite with periodical mass redistribution: relative equilibria and their stability ⋮ Stochastic heating in ultra high intensity laser-plasma interaction ⋮ On the integration of equations of motion for particle-in-cell codes ⋮ Coupling effect on the occurrence of partial synchronization in four coupled chaotic systems ⋮ Estimation of the Amplitude of Resonance in the General Standard Map ⋮ Quantum chaos and its kinetic stage of evolution ⋮ Magnetic field induced dynamical chaos ⋮ On the classical dynamics of strongly driven anharmonic oscillators ⋮ Diffusion in Hamiltonian Quasi-Integrable Systems ⋮ Chaotic Di?usion of Asteroids ⋮ Integrability and non-integrability in quantum mechanics ⋮ Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system ⋮ A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem ⋮ Laminar length and characteristic relation in type-I intermittency ⋮ The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems ⋮ A study on the statistical properties of the prime numbers using the classical and superstatistical random matrix theories ⋮ SPATIALLY CHAOTIC BIFURCATIONS OF AN ELASTIC WEB OF LINKS ⋮ ACOUSTIC RAY STABILITY FOR LONG-RANGE SOUND SPEED PROFILE TRANSITION SCENARIOS ⋮ Dripping instability of a two-dimensional liquid film under an inclined plate ⋮ Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems ⋮ INFORMATION MACRODYNAMIC MODEL AND INFORMATION STRUCTURE OF A MARKET ECONOMIC SYSTEM ⋮ Phenomenological determinism in Hamiltonian dynamical systems ⋮ Hamiltonian chaos in two coupled three-wave parametric interactions with quadratic nonlinearity ⋮ The Shannon entropy: an efficient indicator of dynamical stability ⋮ Critical Velocity for the Onset of Fast Fermi Acceleration ⋮ CHAOTIC DYNAMICS OF N-DEGREE OF FREEDOM HAMILTONIAN SYSTEMS ⋮ Interscale entanglement production in a quantum system simulating classical chaos ⋮ The art of mixing with an admixture of art: Fluids, solids, and visual imagination ⋮ The tunable 0−π qubit: Dynamics and relaxation ⋮ Frozen dynamics of a breather induced by an adiabatic invariant ⋮ Particle motion in vorticity-conserving, two-dimensional incompressible flows ⋮ Heteroclinic chaos detecting in dissipative mechanical systems: chaotic regimes of compound nanosatellites dynamics ⋮ On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps ⋮ Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors ⋮ Kapitza-Landau time window for a periodically driven system with friction: a system-Bath Hamiltonian approach ⋮ Amplitude modulation control of spatiotemporal chaos in starlike networks of damped-driven pendula ⋮ Categories of Conservative Flows ⋮ Frequency Sweeping in Plasmas due to Phase‐Space Structures ⋮ Complex Dynamics and Statistics of 1-D Hamiltonian Lattices: Long Range Interactions and Supratransmission ⋮ A horror story about integration methods ⋮ Generation of a Nonuniform Transverse Ion Flow by a Propagating Electrostatic Wave in a Strongly Magnetized Hot Plasma ⋮ A horror story about integration methods ⋮ Interior Stokes flows with stick-slip boundary conditions ⋮ Chaos in a quasar model with a disk and a massive nucleus ⋮ Chaotic classical scattering and dynamics in oscillating 1-D potential wells ⋮ Symplectic methods for the nonlinear Schrödinger equation ⋮ Multipulses of nonlinearly coupled Schrödinger equations ⋮ Detecting barriers to transport: a review of different techniques ⋮ A geometric view of Hamiltonian perturbation theory ⋮ Chaos in mechanical systems -- a review ⋮ Oscillons, kinks and patterns in a model for a periodically forced medium ⋮ Melnikov method and exponentially small splitting of separatrices ⋮ A describing-function based criterion for a route to chaos in autonomous nonlinear systems ⋮ Unnamed Item ⋮ Construction of fast dynamos using unsteady flows and maps in three dimensions ⋮ Wave structures in jets of arbitrary shape. III. Triangular jets ⋮ О классическом и функциональном подходах к механике ⋮ Fermi-like acceleration and power-law energy growth in nonholonomic systems ⋮ Asymptotic solutions for shocked resonant acoustic oscillations between concentric spheres and coaxial cylinders ⋮ On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD ⋮ Normal forms and averaging in an acceleration problem in nonholonomic mechanics ⋮ Self-organization in trees and motifs of two-dimensional chaotic maps with time delay ⋮ Estimating the size of the regular region of a topographically trapped vortex ⋮ Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation