High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps
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Publication:4588279
DOI10.1137/16M1090041zbMath1378.37057OpenAlexW2757389357MaRDI QIDQ4588279
José Luis González, Jason D. Mireles James
Publication date: 1 November 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1090041
Periodic orbits of vector fields and flows (37C27) Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75) Approximation methods and numerical treatment of dynamical systems (37M99)
Related Items (10)
A constructive proof of the Cauchy-Kovalevskaya theorem for ordinary differential equations ⋮ High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps ⋮ Saddle-type blow-up solutions with computer-assisted proofs: validation and extraction of global nature ⋮ Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations ⋮ Validated numerics for continuation and bifurcation of connecting orbits of maps ⋮ Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation ⋮ Complexity in a Hybrid van der Pol System ⋮ Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem ⋮ A Bayesian nonparametric approach to the approximation of the global stable manifold ⋮ Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems
Uses Software
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