An example of chaotic behaviour in presence of a sliding homoclinic orbit

DOI10.1007/s10231-010-0128-3zbMath1206.34061OpenAlexW2003937700MaRDI QIDQ711459

Flaviano Battelli, Michal Fečkan

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0128-3

zbMATH Keywords

chaotic behaviourBernoulli shiftdiscontinuous systems

Mathematics Subject Classification ID

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

Related Items (6)

New global bifurcation diagrams for piecewise smooth systems: transversality of homoclinic points does not imply chaos ⋮ Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones ⋮ Generating Shilnikov chaos in 3D piecewise linear systems ⋮ Impact oscillators with homoclinic orbit tangent to the wall ⋮ Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum ⋮ ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS

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