MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS

DOI10.1142/S0218127408021361zbMath1147.37343OpenAlexW2074056724MaRDI QIDQ3536094

Erik Mosekilde, Soumitro Banerjee, Zhanybai T. Zhusubaliyev

Publication date: 17 November 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127408021361

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (13)

LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS ⋮ Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form ⋮ Torus destruction in a nonsmooth noninvertible map ⋮ Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity ⋮ Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems ⋮ Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map ⋮ Analysis and control of multiple chaotic attractors from a three-dimensional system ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps ⋮ Multi-stability and basin crisis in synchronized parametrically driven oscillators ⋮ On a special type of border-collision bifurcations occurring at infinity ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps ⋮ Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets

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