The saddle-straddle method to test for Wada basins

DOI10.1016/j.cnsns.2020.105167zbMath1452.37030arXiv1901.10728OpenAlexW2998046002WikidataQ126404602 ScholiaQ126404602MaRDI QIDQ2204430

Miguel A. F. Sanjuán, Alexandre Wagemakers, Alvar Daza

Publication date: 15 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10728

zbMATH Keywords

basins of attractionWada basinsfractalized phase space

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stability theory for smooth dynamical systems (37C75) Dimension theory of smooth dynamical systems (37C45)

Related Items

WADA BASINS IN AN UNCONTROLLED AND CONTROLLED VIBRATION ISOLATION SYSTEM ⋮ WADA FRACTAL BASINS OF ATTRACTION IN A ZERO-STIFFNESS VIBRATION ISOLATION SYSTEM ⋮ Chaotic exits from a weakly magnetized Schwarzschild black hole ⋮ How to detect Wada basins ⋮ Classifying basins of attraction using the basin entropy

Uses Software

• Dynamics

Cites Work

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• Multiple coexisting attractors, basin boundaries and basic sets
• Basins of Wada
• Wada basin boundaries and basin cells
• Wada property in systems with delay
• An Algorithm for Finding Best Matches in Logarithmic Expected Time
• WADA BASIN BOUNDARIES IN CHAOTIC SCATTERING