Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering

DOI10.1016/J.CHAOS.2022.111891zbMath1506.37099arXiv2202.03069OpenAlexW4210956814MaRDI QIDQ2677081

Jesús M. Seoane, Miguel A. F. Sanjuán, Diego Fernández

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.03069

zbMATH Keywords

three-dimensional systemchaotic scatteringdissipative systemWada propertymerging methodopen Hamiltonian system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Numerical chaos (65P20)

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Cites Work

• Fractal basin boundaries
• Phase mixing in unperturbed and perturbed Hamiltonian systems
• Wada property in systems with delay
• Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map
• How to detect Wada basins
• Trapping enhanced by noise in nonhyperbolic and hyperbolic chaotic scattering
• Ergodic decay laws in Newtonian and relativistic chaotic scattering
• Basin topology in dissipative chaotic scattering
• Chaos in Dynamical Systems

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