On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems

DOI10.1016/S0167-2789(97)00254-6zbMath0942.37025OpenAlexW1988744422MaRDI QIDQ1963449

Satoru Morita, Tsuyoshi Chawanya

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00254-6

zbMATH Keywords

chaosbifurcationcoupling strengthlaw of large numbercoupled mapamplitude of mean-field fluctuationmean-field fluctuationtent-maps

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Dynamical systems involving maps of the interval (37E05)

Related Items

Mean-field coupled systems and self-consistent transfer operators: a review, Quasistable states in globally coupled tent map systems, Tongue-like bifurcation structures of the mean-field dynamics in a network of chaotic elements, Large deviations from the thermodynamic limit in globally coupled maps, Stochastically stable globally coupled maps with bistable thermodynamic limit, Effects of microscopic disorder on the collective dynamics of globally coupled maps, Coupled maps with local and global interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation
• Mean field fluctuation of a network of chaotic elements. Remaining fluctuation and correlation in the large size limit
• Collective behavior in ensembles of globally coupled maps
• Globally coupled maps: Phase transitions and synchronization
• Bifurcations in globally coupled map lattices.
• Order in the turbulent phase of globally coupled maps
• From collective oscillations to collective chaos in a globally coupled oscillator system
• Remarks on the mean field dynamics of networks of chaotic elements
• On mean field fluctuations in globally coupled maps
• Bifurcations in globally coupled chaotic maps.
• Globally coupled chaos violates the law of large numbers but not the central-limit theorem