scientific article; zbMATH DE number 3220203
From MaRDI portal
zbMath0135.42602MaRDI QIDQ5508817
Publication date: 1964
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
Arnold diffusion of charged particles in ABC magnetic fields, Generic perturbations of linear integrable Hamiltonian systems, Flexibility of sections of nearly integrable Hamiltonian systems, Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows, A combinatorial perturbation method and Arnold's whiskered tori in vortex dynamics, Commensurability and Molchanov's hypothesis, Existence of diffusion orbits in a lattice system, On the stability of a nonautonomous hamiltonian system with two degrees of freedom, Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits, Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings, Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations, Melnikov vector in higher dimensions, Multi-pulse chaotic dynamics of an unbalanced Jeffcott rotor with gravity effect, Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems, A Galilean dance 1:2:4 resonant periodic motions and their librations of Jupiter and his Galilean moons, Bifurcations of families of 1D-tori in 4D symplectic maps, Complex Arnol'd-Liouville maps, A remark on the onset of resonance overlap, Bernstein-Remez inequality for algebraic functions: a topological approach, Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps, Chaos in a tethered satellite system induced by atmospheric drag and Earth's oblateness, Arnold Diffusion in a Model of Dissipative System, Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation, Formal stability, stability for most initial conditions and diffusion in analytic systems of differential equations, Arnold diffusion for nearly integrable Hamiltonian systems, Nekhoroshev estimates for the orbital stability of Earth's satellites, Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom, Arnold diffusion in multidimensional convex billiards, On the topology of nearly-integrable Hamiltonians at simple resonances, Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions, Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation, Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies, Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos, SOLITARY WAVE AND CHAOTIC BEHAVIOR OF TRAVELING WAVE SOLUTIONS FOR THE COUPLED SCHRÖDINGER-KDV EQUATIONS, Phase correlations in chaotic dynamics: a Shannon entropy measure, An approach to arnold's diffusion through the calculus of variations, Dynamics of the dominant Hamiltonian, Nonlinear Dynamics of Flexible L-Shaped Beam Based on Exact Modes Truncation, Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river, Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems, The scattering map in two coupled piecewise-smooth systems, with numerical application to rocking blocks, Stabilité ou instabilité des points fixes elliptiques, Modeling the Dynamics of Glacial Cycles, Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points, Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse, A new method for measuring the splitting of invariant manifolds, Lagrangian Uncertainty Quantification and Information Inequalities for Stochastic Flows, Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature *, On the geometry of an atmospheric slow manifold, Drift by coupling to an anti-integrable limit, Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows., Homoclinic Loop and Multiple Limit Cycle Bifurcation Surfaces, Diffusion times and stability exponents for nearly integrable analytic systems, Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems, Dynamics of the spatial restricted three-body problem stabilized by Hamiltonian structure-preserving control, The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems, A note on micro-instability for Hamiltonian systems close to integrable, Unnamed Item, Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems, Intersections of Lagrangian submanifolds and the Mel'nikov 1-form, A theory for \(n\)-dimensional nonlinear dynamics on continuous vector fields, Melnikov method and exponentially small splitting of separatrices, Diffusion in Hamiltonian Quasi-Integrable Systems, Existence of whiskered KAM tori of conformally symplectic systems, A \(\lambda\)-lemma for normally hyperbolic invariant manifolds, On resonances in Hamiltonian systems with three degrees of freedom, Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion, Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio, Hamiltonian perturbation theory for ultra-differentiable functions, Global structure of regular tori in a generic 4D symplectic map, Undecidability in Rn: Riddled Basins, the KAM Tori, and the Stability of the Solar System, Unnamed Item, Unnamed Item, Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems, Dynamics and bifurcations in a \(\mathbb{D}_n\)-symmetric Hamiltonian network. application to coupled gyroscopes, Morse and Melnikov functions for NLS PDE's, Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion, Quantum kicked rotor and its variants: chaos, localization and beyond, A review of the ``Third integral, The analytical model of six-dimensional linear dynamic systems with arbitrary piecewise-constant parameters, Variational construction of connecting orbits, Positive metric entropy in nondegenerate nearly integrable systems, Computer assisted proof of drift orbits along normally hyperbolic manifolds. II: Application to the restricted three body problem, A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems, Codimension-one partitioning and phase space transport in multi-degree- of-freedom Hamiltonian systems with non-toroidal invariant manifold intersections, Whiskered KAM tori of conformally symplectic systems, \(C^1\)-continuation of periodic orbits from homoclinics, Analysis of the chaotic behaviour of orbits diffusing along the Arnold web, KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems, A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems, Arnold's diffusion with two resonances, Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems, Strands and braids in narrow planetary rings: a scattering system approach, Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem, Bifurcations of subharmonic solutions in reversible systems, A geometric criterion for positive topological entropy, Compensations in small divisor problems, Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians, The production of Tsallis entropy in the limit of weak chaos and a new indicator of chaoticity, Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio, Translation of the V. I. Arnold paper ``From superpositions to KAM theory, Shadowing of non-transversal heteroclinic chains, Detection of Arnold diffusion in Hamiltonian systems, Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators, Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation, Dynamics of 4D symplectic maps near a double resonance, Large normally hyperbolic cylinders in a priori stable Hamiltonian systems, A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems, Global diffusion on a tight three-sphere, Drift in phase space: A new variational mechanism with optimal diffusion time, Diffusion and drift in volume-preserving maps, Circular, elliptic and oval billiards in a gravitational field, On the chaotic diffusion in multidimensional Hamiltonian systems, Generic Nekhoroshev theory without small divisors, Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians, Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems, Numerical computation of normal forms around some periodic orbits of the restricted three-body problem, Width of stochastic layers in near-integrable two-dimensional symplectic maps., Hyperbolicity versus partial-hyperbolicity and the transversality-torsion phenomenon, Passive tracer in non-Markovian, Gaussian velocity field, The coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systems, Motions doubly asymptotic to invariant tori in the theory of perturbed Hamiltonian systems, Homoclinic chaos for ray optics in a fiber, Subdiffusive transport in stochastic webs, Dynamics around simple resonant tori in nearly integrable Hamiltonian systems, Global instability in the restricted planar elliptic three body problem, Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics, Moser's quadratic, symplectic map, Oscillatory orbits in the restricted elliptic planar three body problem, Oscillatory motions in restricted \(N\)-body problems, Tunable transport with broken space-time symmetries, Homoclinic chaos in a laser-matter system, Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders, Perturbations of geodesic flows by recurrent dynamics, Arnold diffusion in a neighborhood of strong resonances, An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension, Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument, Hamiltonian chaos in nonlinear optical polarization dynamics, A functional analysis approach to Arnold diffusion, Melnikov's method, stochastic layers and nonintegrability of a perturbed Duffing-oscillator, Exponentially small splitting of separatrices in a weakly hyperbolic case, Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods, Variational approach to Arnold diffusion, Variational construction of unbounded orbits in Lagrangian systems, Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator, Pathology in dynamical systems. I: General theory, Stochastic modeling of MHD turbulence in magnetized plasma, A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems, A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations, The Shannon entropy as a measure of diffusion in multidimensional dynamical systems, Chaotic-like transfers of energy in Hamiltonian PDEs, Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case, Frequency modulation indicator, Arnold's web and diffusion in the Stark-quadratic-Zeeman problem, Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs, On the connection between the Nekhoroshev theorem and Arnold diffusion, Local and global diffusion in the Arnold web of a priori unstable systems, Phase-space volume of regions of trapped motion: Multiple ring components and arcs, Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps, Computer assisted proof of drift orbits along normally hyperbolic manifolds, Universal homoclinic bifurcations and chaos near double resonances, Global dynamics and diffusion in the rational standard map, Exponential dichotomies and transversal homoclinic points, Averaging, slaving and balance dynamics in a simple atmospheric model, A numerical study of Arnold diffusion in a priori unstable systems, On the stability problem for the Lagrange solutions of the restricted three-body problem, Arnold diffusion in perturbations of analytic exact symplectic maps, Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems, On the algebraic properties of exponentially stable integrable Hamiltonian systems, The resonance theory for stochastic layers in nonlinear dynamic systems., Hamiltonian systems with orbits covering densely submanifolds of small codimension, Symbolic dynamics and Arnold diffusion, An algorithm to generate canonical transformations: Application to normal forms, Singular perturbation theory for homoclinic orbits in a class of near- integrable Hamiltonian systems, The Shannon entropy: an efficient indicator of dynamical stability, Lonely planets and lightweight asteroids: a statistical mechanics model for the planetary problem
