Chaotic behavior of driven, second-order, piecewise linear systems

DOI10.1016/J.CHAOS.2017.09.040zbMath1380.34031OpenAlexW2766003218MaRDI QIDQ1694522

Peng Zhang

Publication date: 2 February 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.09.040

zbMATH Keywords

Melnikov functionpiecewise smooth systemdiscontinuous systemscontinuous systemsapproximation techniques

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Generating Shilnikov chaos in 3D piecewise linear systems ⋮ Global dynamics for a class of tristable system with negative stiffness ⋮ Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system ⋮ Chaos-assisted localization and delocalization of a particle in a driven optical lattice ⋮ Subharmonic resonance and chaos for a class of vibration isolation system with two pairs of oblique springs

Cites Work

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• Bifurcations and chaos produced by the modulation signal in a PWM buck converter
• Melnikov method for discontinuous planar systems
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• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Melnikov Method for a Class of Planar Hybrid Piecewise-Smooth Systems
• Robust observation and identification ofnDOF Lagrangian systems
• One-Parameter Bifurcations in Planar Filippov Systems
• Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications

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