TOPOLOGICAL ENTROPY IN THE SYNCHRONIZATION OF PIECEWISE LINEAR AND MONOTONE MAPS: COUPLED DUFFING OSCILLATORS

DOI10.1142/S0218127409025183zbMath1182.37017MaRDI QIDQ5305166

J. Leonel Rocha, Acilina Caneco, Clara Grácio

Publication date: 19 March 2010

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

zbMATH Keywords

chaossynchronizationDuffing oscillatorsymbolic dynamicstopological entropykneading theory

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Characterizations and entropy measures of the exponentiated generalized Frechet geometric distribution ⋮ Networks Synchronizability, Local Dynamics and Some Graph Invariants ⋮ Information theory, synchronization and topological order in complete dynamical networks of discontinuous maps ⋮ Entrainment by chaos ⋮ SYNCHRONIZATION AND BASINS OF SYNCHRONIZED STATES IN TWO-DIMENSIONAL PIECEWISE MAPS VIA COUPLING THREE PIECES OF ONE-DIMENSIONAL MAPS

Cites Work

• Kneading theory analysis of the Duffing equation
• Detecting topological transitivity of piecewise monotone interval maps
• What you need to know to knead
• Bifurcation structure of two coupled periodically driven double-well Duffing oscillators.
• The synchronization of chaotic systems
• Synchronization and bifurcation structures in coupled periodically forced non-identical Duffing oscillators
• WHEN SYMMETRIZATION GUARANTEES SYNCHRONIZATION IN DIRECTED NETWORKS
• GLOBAL TANGENCY AND TRANSVERSALITY OF PERIODIC FLOWS AND CHAOS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR
• Adaptive synchronization of neural networks with or without time-varying delay
• BIFURCATION STRUCTURES GENERATED BY THE NONAUTONOMOUS DUFFING EQUATION
• Finite type approximations of Gibbs measures on sofic subshifts
• On sensitive mappings of the interval
• Synchronization in chaotic systems
• DYNAMICS OF TWO RESISTIVELY COUPLED DUFFING-TYPE ELECTRICAL OSCILLATORS
• Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators

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