TO ESCAPE OR NOT TO ESCAPE, THAT IS THE QUESTION — PERTURBING THE HÉNON–HEILES HAMILTONIAN

DOI10.1142/S0218127412300108zbMath1270.37043OpenAlexW2052618094MaRDI QIDQ2843560

Roberto Barrio, Jesús M. Seoane, Fernando Blesa, Miguel A. F. Sanjuán

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412300108

zbMATH Keywords

fractalsnonlinear dynamics and chaosnumerical simulation of chaotic systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Exponential decay and scaling laws in noisy chaotic scattering
• Basins of Wada
• Chaotic Hamiltonian pumps
• Phase mixing in unperturbed and perturbed Hamiltonian systems
• PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
• BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
• WADA BASIN BOUNDARIES IN CHAOTIC SCATTERING

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