Periodic orbits and unstable manifolds for ordinary differential equations

DOI10.1080/01630569608816737zbMath0882.58043OpenAlexW2103083387MaRDI QIDQ4354846

Tony Shardlow

Publication date: 12 March 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816737

zbMATH Keywords

periodic solutionsattractorsordinary differential equationsperturbationsunstable manifolds

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• The dynamics of the Hénon map
• On the discretization of a partial differential equation in the neighborhood of a periodic orbit
• On invariant closed curves for one-step methods
• On the Numerical Approximation of Phase Portraits Near Stationary Points

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