Detecting regular and chaotic behaviour in the parameter space by generalised statistical complexity measures

DOI10.1016/J.CHAOS.2015.07.005zbMath1353.37040OpenAlexW1459379150MaRDI QIDQ502920

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 January 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.07.005

zbMATH Keywords

Hénon mapgeneralised statistical complexityTinkerbell map

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Measures of information, entropy (94A17) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Chaotic behavior of solutions of difference equations (39A33)

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Cites Work

• A Mathematical Theory of Communication
• Distances in probability space and the statistical complexity setup
• Local wave-vector, Shannon and Fisher information
• Statistical complexity and Fisher-Shannon information in the H-atom
• LMC-complexity and various chaotic regimes
• Compound windows of the Hénon-map
• Generic hyperbolicity in the logistic family
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• A comparative classification of complexity measures
• Fisher information and nonlinear dynamics
• Generalized complexity measures and chaotic maps
• Quantifying the complexity of the delayed logistic map
• Topology of Windows in the High-Dimensional Parameter Space of Chaotic Maps
• Some features of the statistical complexity, Fisher–Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator
• A generalized statistical complexity measure: Applications to quantum systems

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