Chaotic Itinerancy Observed in Mutually Coupled Gaussian Maps

DOI10.1142/S0218127418300112zbMath1390.37072OpenAlexW2802955766MaRDI QIDQ4643607

Mio Kobayashi, Tetsuya Yoshinaga

Publication date: 25 May 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418300112

zbMATH Keywords

chaoslogistic mapbifurcation phenomenaGaussian mapchaotic itinerancy

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Cites Work

• Unnamed Item
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• Firefly algorithm with chaos
• Globally coupled circle maps
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Logistic map with memory from economic model
• Ecological monitoring in a discrete-time prey-predator model
• Chaotic sub-dynamics in coupled logistic maps
• Global quantitative predictions of complex laser dynamics
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Simple mathematical models with very complicated dynamics
• CONTROLLING STOCHASTIC OSCILLATIONS CLOSE TO A HOPF BIFURCATION BY TIME-DELAYED FEEDBACK
• Chaotic itinerancy
• Chaotic itinerancy generated by coupling of Milnor attractors