Basin reversal in nonlinear driven oscillators

DOI10.1007/s11071-019-04849-2zbMath1437.34044OpenAlexW2918173699MaRDI QIDQ783565

Yongxiang Zhang, Guiqin Kong

Publication date: 4 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-04849-2

zbMATH Keywords

bifurcationbasin of attractioncoexisting attractorsWada basin boundary

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• Controlling unpredictability in the randomly driven Hénon-Heiles system
• Control of multistability
• Hidden attractors in dynamical systems
• Unpredictable behavior in the Duffing oscillator: Wada basins
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Metamorphoses: Sudden jumps in basin boundaries
• Chaotic saddles in Wada basin boundaries and their bifurcations by the generalized cell-mapping digraph (GCMD) method
• Enlarging the domain of attraction of MPC controllers
• Basin boundary metamorphoses: Changes in accessible boundary orbits
• Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map
• Two-sided damping constraint control strategy for high-performance vibration isolation and end-stop impact protection
• Fractal control boundaries of driven oscillators and their relevance to safe engineering design
• Basins of Attraction
• Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
• Infinite Multistability in a Self-Reproducing Chaotic System