Melnikov-Type Chaos of Planar Systems with Two Discontinuities

DOI10.1142/S0218127415500273zbMath1309.34010OpenAlexW1969274321MaRDI QIDQ5246697

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Publication date: 22 April 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415500273

zbMATH Keywords

chaotic dynamicsMelnikov methodpiecewise-linear systemscontinuous approximation

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60) Saturation in approximation theory (41A40)

Related Items (4)

The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application ⋮ Random Disordered Periodical Input Induced Chaos in Discontinuous Systems ⋮ The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold ⋮ Chaos detection of Duffing system with fractional-order derivative by Melnikov method

Cites Work

• Nonsmooth bifurcations of equilibria in planar continuous systems
• Melnikov method for discontinuous planar systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• One-Parameter Bifurcations in Planar Filippov Systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS

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