Multistability and arithmetically period-adding bifurcations in piecewise smooth dynamical systems

DOI10.1063/1.2985853zbMath1309.37046OpenAlexW2076976025WikidataQ48305219 ScholiaQ48305219MaRDI QIDQ5246335

Younghae Do, Ying-Cheng Lai

Publication date: 21 April 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d39b10e865f5c01222e477233408771491893b51

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (9)

Period-Adding Structures in the Parameter-Space of a Driven Josephson Junction ⋮ Unfolding globally resonant homoclinic tangencies ⋮ Multistability in the cyclic competition system ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Multistability of extinction states in the toy model for three species ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps ⋮ Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps ⋮ Nested Closed Invariant Curves in Piecewise Smooth Maps ⋮ Dynamics of coupled modified Rössler oscillators: The role of nonisochronicity parameter

Cites Work

• Multiple coexisting attractors, basin boundaries and basic sets
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Dangerous border-collision bifurcations of a piecewise-smooth map
• A mechanism for dangerous border collision bifurcations
• Multistability and the control of complexity
• Border collision bifurcations at the change of state-space dimension

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