Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example

DOI10.1063/1.166349zbMath0987.37022OpenAlexW1998623866WikidataQ38452101 ScholiaQ38452101MaRDI QIDQ4515079

Masa Tsuchiya, Charles Jaffé, Alexander Tovbis

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://stars.library.ucf.edu/facultybib1990/2479

zbMATH Keywords

Stokes phenomenonunstable and stable manifoldsexponential asymptotic expansionsarea-preserving Hénon map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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