Necessary and Sufficient Conditions for the Occurrence of Bisecting Bifurcations in the General 2D Piecewise-Linear Mapping

DOI10.1142/S0218127417500791zbMath1367.37049MaRDI QIDQ4976153

Hannachi Fareh, Zeraoulia Elhadj

Publication date: 27 July 2017

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

zbMATH Keywords

rank of matrixneutrally stable periodic orbitsbisecting bifurcation

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps

Cites Work

• Piecewise linear control systems. A computational approach
• Bifurcations in the Lozi map
• Multi-parametric bifurcations in a piecewise–linear discontinuous map
• On the fully developed bandcount adding scenario
• Dynamics of a map with a power-law tail
• Growing Through Cycles

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