Chaos in forced impact systems

DOI10.3934/DCDSS.2013.6.861zbMath1266.34074OpenAlexW2334949589MaRDI QIDQ1942813

Michal Fečkan, Flaviano Battelli

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.861

zbMATH Keywords

chaotic behaviorBernoulli shiftimpact systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (5)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones ⋮ Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum ⋮ Resonance oscillations in a mass-spring impact oscillator ⋮ On the chaotic behavior of non-flat billiards

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