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Abrupt bifurcations in chaotic scattering: view from the anti-integrable limit

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Publication:2852528
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DOI10.1088/0951-7715/26/9/2703zbMath1307.37032OpenAlexW2093163687MaRDI QIDQ2852528

Yi-Chiuan Chen, Claude Baesens, Robert S. MacKay

Publication date: 9 October 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/26/9/2703


zbMATH Keywords

Markov chainLagrangianabrupt bifurcations


Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems with hyperbolic orbits and sets (37D05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)


Related Items (2)

Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral ⋮ Complicated behavior in cubic Hénon maps






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