A test for fractal boundaries based on the basin entropy

DOI10.1016/j.cnsns.2020.105588zbMath1457.37034arXiv2201.08606OpenAlexW3095457343MaRDI QIDQ2219531

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

Publication date: 20 January 2021

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

Full work available at URL: https://arxiv.org/abs/2201.08606

zbMATH Keywords

boundariesfractalsbasins of attractionuncertainty exponentbasin entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75) Dimension theory of smooth dynamical systems (37C45)

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Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems ⋮ Classifying basins of attraction using the basin entropy

Cites Work

• A special type of explosion of basin boundary
• Fractal basin boundaries
• Basins of Wada
• Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system
• Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes
• Basins of Attraction
• Is the Geometry of Nature Fractal?