scientific article; zbMATH DE number 2173733
From MaRDI portal
zbMath1148.35006MaRDI QIDQ4680537
Publication date: 2 June 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
singular perturbationscontinuation methodboundary layersaveragingapplications to mathematical physics and engineering
Singular perturbations in context of PDEs (35B25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
Related Items
Torus bifurcations in a mechanical system, Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode, Canard solutions in equations with backward bifurcations of the quasi-steady state manifold, On the multiple scales perturbation method for difference equations, Singular perturbation methods for slow-fast dynamics, Asymptotic construction of nonlinear normal modes for continuous systems, Averaging in vibration suppression by parametric stiffness excitation, Multi-frequency oscillations in self-excited systems, On the normal forms of Hamiltonian systems, On aspects of damping for a vertical beam with a tuned mass damper at the top, Bounds for the chaotic region in the Lorenz model, From the Price equation to the selection gradient in class-structured populations: a quasi-equilibrium route, Controlling Canard cycles, Boundary layer analysis of nonlinear reaction-diffusion equations in a polygonal domain, The Poincaré method: A powerful tool for analyzing synchronization of coupled oscillators, Coordinate-independent singular perturbation reduction for systems with three time scales, On the anti-quasi-steady-state conditions of enzyme kinetics, Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation, Asymptotic analysis of compression sensing in ionic polymer metal composites: the role of interphase regions with variable properties, Comparative analysis of continuum angiogenesis models, Resonant periodic solutions in regularized impact oscillator, Asymptotic behavior of a viscoelastic fluid in a closed loop thermosyphon: physical derivation, asymptotic analysis, and numerical experiments, Quasi-steady state reduction for compartmental systems, A general view on double limits in differential equations, A boundary-layer solution for flow at the soil-root interface, Kickback in nematic liquid crystals, Singular perturbation for an abstract non-densely defined Cauchy problem, Tikhonov-Fenichel reduction for parameterized critical manifolds with applications to chemical reaction networks, Nonstandard finite differences for a truncated Bratu-Picard model, Relaxation oscillations, subharmonic orbits and chaos in the dynamics of a linear lattice with a local essentially nonlinear attachment, Hunting French ducks in a noisy environment, Renormalization group method for singular perturbation initial value problems with delays, A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution, Boundary layers for the 3D primitive equations in a cube: the supercritical modes, Coupling-induced oscillations in two intrinsically quiescent populations, Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction, Realization of non-holonomic constraints and singular perturbation theory for plane dumbbells, Computing singularly perturbed differential equations, A geometric analysis of fast-slow models for stochastic gene expression, Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems, Higher order nonuniform grids for singularly perturbed convection-diffusion-reaction problems, Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes, On the application of the homotopy analysis method to limit cycles' approximation in planar self-excited systems, Methods for solving singular perturbation problems arising in science and engineering, Computing quasi-steady state reductions, Extension of matched asymptotic method to fractional boundary layers problems, The shuddering pendulum, Stability of limit cycles in autonomous nonlinear systems, Flocking and synchronization of particle models, Boundary layers for the subcritical modes of the 3D primitive equations in a cube, The Rosenzweig-MacArthur system via reduction of an individual based model, Stochastic perturbations of periodic orbits with sliding, Averaging of time-varying differential equations revisited, A constructive approach to quasi-steady state reductions, The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance, A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions, Approximating the traveling wavefront for a nonlocal delayed reaction-diffusion equation, Hypersingular nonlinear boundary-value problems with a small parameter, Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution, A parametrized stock-recruitment relationship derived from a slow-fast population dynamic model, Approximation of limit cycles in two-dimensional nonlinear systems near a Hopf bifurcation by canonical transformations, On slow-fast dynamics in a classical predator-prey system, Piecewise linear and Boolean models of chemical reaction networks, A unified framework for differential aggregations in Markovian process algebra, Matching asymptotics in path-dependent option pricing, Invariant manifolds in dissipative dynamical systems, A new analytical approximation for European puts with stochastic volatility, Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain, Evolution of density-dependent dispersal in a structured metapopulation, Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions, On fast-slow consensus networks with a dynamic weight, Working with multiscale asymptotics, Quenching of self-excited vibrations, Singular perturbations and scaling, Asymptotic stability of singularly perturbed differential equations, Analytical solutions of one-way coupled magnetohydrodynamic free surface flow, Homogenization of coupled fast-slow systems via intermediate stochastic regularization, Profits and Pitfalls of Timescales in Asymptotics, Fast-slow dynamics in first-order initial value problems with slowly varying parameters and application to a harvested logistic model, Tight estimates for general averaging applied to almost-periodic differential equations, Bounded perturbation for evolution equations with a parameter \& application to population dynamics, Enhanced damping of a cantilever beam by axial parametric excitation, Unbounded dynamics in dissipative flows: Rössler model, Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium, Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations, Actively deforming porous media in an incompressible fluid: a variational approach, Influence of shear on sensing of ionic polymer metal composites, Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion, A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails, Singular perturbations of complex polynomials, Awakened oscillations in coupled consumer-resource pairs, Averaging on slow and fast cycles of a three time scale system, Geometric singular perturbation theory in biological practice, A multiple timescale analysis of a mathematical model of the Wnt/\(\beta\)-catenin signalling pathway, Determining ``small parameters for quasi-steady state, Planar canards with transcritical intersections, Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation, Recent progresses in boundary layer theory, The ``hidden dynamics of the Rössler attractor, Distinguished limits and drifts: between nonuniqueness and universality, How does the latency period impact the modeling of COVID-19 transmission dynamics?, Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise, Quasi steady state and partial equilibrium approximations: their relation and their validity, Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species, A comparison between MMAE and SCEM for solving singularly perturbed linear boundary layer problems, A survey on the blow-up method for fast-slow systems, High-order Numerical Homogenization for Dissipative Ordinary Differential Equations, Electrochemo-poromechanics of ionic polymer metal composites: towards the accurate finite element modelling of actuation and sensing, Eccentric catastrophes & what to do with them, Periodic travelling waves for a fourth order nonlinear evolution equation, Side-comparison for transition maps in multi-layer canard problems, A SEMI-ANALYTIC METHOD FOR SOLVING SINGULARLY PERTURBED TWIN-LAYER PROBLEMS WITH A TURNING POINT, Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism, From electric circuits to chemical networks, Multiple timing and spatial scaling for bifurcations, Spectral operator learning for parametric PDEs without data reliance, Sixth-Order Adaptive Non-uniform Grids for Singularly Perturbed Boundary Value Problems, Pattern formation of a nonlocal, anisotropic interaction model, Asymptotic expansions and attractive invariant manifolds of strongly damped mechanical systems, A Young Measures Approach to Averaging, Spontaneous Slow Oscillations and Sequential Patterns Due to Short-Term Plasticity in a Model of the Cortex, Variational nonlinear WKB in the Eulerian frame, On Differential Equations with Codimension-$n$ Discontinuity Sets, Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity, Efficient nonlinear filtering of a singularly perturbed stochastic hybrid system, Unnamed Item, A singularly perturbed differential equation with piecewise constant argument of generalized type, An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems, The motion of point particles in curved spacetime, Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system, Singular perturbation analysis of a two-site model for an epidemic in age-structured population, Pointwise a Posteriori Error Bounds for Blow-Up in the Semilinear Heat Equation, Damped Perturbations of Systems with Center-Saddle Bifurcation, Recurrent canards producing relaxation oscillations, Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations
