Nonautonomous systems with transversal homoclinic structures under discretization
From MaRDI portal
Publication:291909
DOI10.1007/s10543-015-0567-8zbMath1394.65162OpenAlexW1031597912MaRDI QIDQ291909
Publication date: 10 June 2016
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-015-0567-8
exponential dichotomyapproximation theoryhomoclinic orbitsnonautonomous dynamical systemdiscretization effects
Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Numerical nonlinear stabilities in dynamical systems (65P40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Topological dynamics of nonautonomous systems (37B55) Fiber bundles in algebraic topology (55R10)
Related Items
Computing stable hierarchies of fiber bundles ⋮ On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Geometric theory of semilinear parabolic equations
- Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study
- Dichotomies in stability theory
- Growing 1D and quasi-2D unstable manifolds of maps
- Exponential dichotomies and transversal homoclinic points
- On manifolds of connecting orbits in discretizations of dynamical systems
- Numerical computation of dichotomy rates and projectors in discrete time
- Taylor approximation of integral manifolds
- Computing Sacker–Sell spectra in Discrete Time Dynamical Systems
- Homoclinic trajectories of non-autonomous maps
- Stability, instability, and bifurcation phenomena in non-autonomous differential equations
- Homoclinic orbits of non-autonomous maps and their approximation
- The Numerical Computation of Connecting Orbits in Dynamical Systems
- Approximative methods for nonlinear equations (two approaches to the convergence problem)
- The fundamental existence theorem on invariant fiber bundles
- The Numerical Computation of Homoclinic Orbits for Maps
- Homoclinical structures in nonautonomous systems: Nonautonomous chaos
- Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
- Discretization of homoclinic orbits, rapid forcing and “invisible” chaos
- On Cj-closeness between the solution flow and its numerical approximation
- Differentiable dynamical systems
- Invariant manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item