Stability of fixed points placed on the border in the piecewise linear systems

DOI10.1016/j.chaos.2006.11.022zbMath1146.37303OpenAlexW2014141097MaRDI QIDQ953579

Phil Su Kim, Sang Dong Kim, Younghae Do

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.11.022

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form ⋮ Existence of homoclinic orbits of an area-preserving map with a nonhyperbolic structure ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ BIFURCATION IN A PIECEWISE LINEAR CIRCUIT WITH SWITCHING BOUNDARIES ⋮ The stability of fixed points on switching manifolds of piecewise-smooth continuous maps

Cites Work

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• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• \(C\)-bifurcations and period-adding in one-dimensional piecewise-smooth maps
• Dangerous border-collision bifurcations of a piecewise-smooth map
• A mechanism for dangerous border collision bifurcations
• Border-collision bifurcations in the buck converter
• Chaos

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