SUDDEN OCCURRENCE OF CHAOS-II IN NONSMOOTH MAPS

DOI10.1142/S0218127410028276zbMath1208.37019OpenAlexW4252876441MaRDI QIDQ3086305

Jun Xia, Song Zheng, Lixin Tian, Gaogao Dong, Ruijin Du

Publication date: 30 March 2011

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

Full work available at URL: https://doi.org/10.1142/s0218127410028276

zbMATH Keywords

band-gapinverse period-doubling band splittingnonsmooth mapsudden occurrence of chaossudden occurrence of chaos-IIthe first Feigenbaum constant

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Frontward-response control of sudden occurrence of chaos
• Transition to chaos in a shell model of turbulence
• Quantitative universality for a class of nonlinear transformations
• OLD AND NEW RESULTS ON STRANGE NONCHAOTIC ATTRACTORS
• Roads to turbulence in dissipative dynamical systems
• Period Three Implies Chaos
• ON THE SIGNIFICANCE OF THE TENT MAP
• SUDDEN OCCURRENCE OF CHAOS IN NONSMOOTH MAPS
• Simple mathematical models with very complicated dynamics
• STRANGE NONCHAOTIC ATTRACTORS

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