Analysis of chaotic saddles in a nonlinear vibro-impact system

DOI10.1016/j.cnsns.2016.12.003OpenAlexW2558224910MaRDI QIDQ2005423

Jinqian Feng

Publication date: 7 October 2020

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.2016.12.003

zbMATH Keywords

chaotic saddleDuffing vibro-impact oscillatorcrisis bifurcationperiod saddle

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Mechanics of particles and systems (70-XX)

Related Items (5)

Bifurcation analysis of a noisy vibro-impact oscillator with two kinds of fractional derivative elements ⋮ High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows ⋮ Stochastic global stability and bifurcation of a hydro-turbine generator ⋮ Bifurcation and chaos in a bearing system ⋮ Degenerate grazing bifurcations in a three-degree-of-freedom impact oscillator

Cites Work

• Global analysis of boundary and interior crises in an elastic impact oscillator
• Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
• Dynamics and bifurcations of non-smooth mechanical systems
• A procedure for finding numerical trajectories on chaotic saddles
• Non-smooth dynamical systems
• An introduction to hybrid dynamical systems
• The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
• How to predict stick-slip chaos in \(R^4\)
• Grazing phenomena in a periodically forced, friction-induced, linear oscillator
• Chaos in Dynamical Systems
• Analysis of chaotic saddles in high-dimensional dynamical systems: The Kuramoto–Sivashinsky equation

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