Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function

DOI10.1142/S0218127417300312zbMath1373.34030arXiv1611.03461OpenAlexW2586746011MaRDI QIDQ5371166

L. J. Ontañón-García, H. E. Gilardi-Velázquez, D. G. Hurtado-Rodriguez, Eric Campos-Cantón

Publication date: 25 October 2017

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

Full work available at URL: https://arxiv.org/abs/1611.03461

zbMATH Keywords

chaosbifurcationpiecewise linear systemmultistabilityeigenspectrumround functionmultiscroll attractor

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36) Attractors of solutions to ordinary differential equations (34D45)

Related Items (10)

Emergence of synchronous behavior in a network with chaotic multistable systems ⋮ On multistability behavior of unstable dissipative systems ⋮ A physical interpretation of fractional-order-derivatives in a jerk system: electronic approach ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Derivation of a continuous time dynamic planar system with two unstable foci from a three-dimensional chaotic piecewise linear system ⋮ New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria ⋮ A novel approach to generate attractors with a high number of scrolls ⋮ Parametric control for multiscroll generation: electronic implementation and equilibrium analysis ⋮ Multistability of a two-dimensional map arising in an influenza model ⋮ Multistability route in a PWL multi-scroll system through fractional-order derivatives

Cites Work

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• A practical method for calculating largest Lyapunov exponents from small data sets
• Attractors generated from switching unstable dissipative systems
• Theory of hybrid dynamical systems and its applications to biological and medical systems
• Multiscroll attractors by switching systems

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