DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP

DOI10.7858/eamj.2014.038zbMath1306.70015OpenAlexW2396887516MaRDI QIDQ5173898

Donggyu Lee, Sungbae Jo, Dongjin Lee, Hyunje Choi

Publication date: 16 February 2015

Published in: East Asian mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7858/eamj.2014.038

zbMATH Keywords

stable and unstable manifoldsstability of fixed pointsdangerous border collision bifurcation

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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