Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities

DOI10.1142/S0218127420501412zbMath1472.34025OpenAlexW3082147466MaRDI QIDQ5120494

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Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501412

zbMATH Keywords

chaosheteroclinic orbitMelnikov methodnonsmooth systemnonsmooth pendulum

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Quasi-periodic solutions and homoclinic bifurcation in an impact inverted pendulum ⋮ Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint ⋮ Impact limit cycles in the planar piecewise linear hybrid systems

Cites Work

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