On flow switching bifurcations in discontinuous dynamical systems

DOI10.1016/j.cnsns.2006.01.010zbMath1102.37014OpenAlexW2042467619MaRDI QIDQ850098

Albert C. J. Luo

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.01.010

zbMATH Keywords

discontinuous dynamic systemsnormal vector field product functionsliding fragmentationswitching bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Dynamic analysis and suppressing chaotic impacts of a two-degree-of-freedom oscillator with a clearance ⋮ Discontinuous dynamics of an asymmetric 2-DOF friction oscillator with elastic and rigid impacts ⋮ Analysis of dynamical behaviors of a 2-DOF friction oscillator with elastic impacts and negative feedbacks ⋮ Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Periodic motions in a simplified brake system with a periodic excitation ⋮ A theory for flow switchability in discontinuous dynamical systems ⋮ Controlling bifurcation and chaos of a plastic impact oscillator ⋮ Motion switching and chaos of a particle in a generalized Fermi-acceleration oscillator

Cites Work

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• Local Langlands duality and a duality of conformal field theories
• An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems

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