ON GLOBAL DYNAMIC BEHAVIOR OF WEAKLY CONNECTED OSCILLATORY NETWORKS

DOI10.1142/S0218127405012661zbMath1089.34033OpenAlexW1974910099MaRDI QIDQ5702220

Marco Gilli, Fernando Corinto, Michele Bonnin

Publication date: 1 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127405012661

zbMATH Keywords

phase equationsChua's systemKuramoto systemMalkin's theoremweakly coupled networks

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

On the study of cellular nonlinear networks via amplitude and phase dynamics ⋮ WEAKLY CONNECTED OSCILLATORY NETWORK MODELS FOR ASSOCIATIVE AND DYNAMIC MEMORIES ⋮ Spiral waves in bio‐inspired oscillatory dissipative media ⋮ PHASE MODEL REDUCTION AND PHASE LOCKING OF COUPLED NONLINEAR OSCILLATORS ⋮ LOCALIZED OSCILLATIONS IN DIFFUSIVELY COUPLED CYCLIC NEGATIVE FEEDBACK SYSTEMS

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• An approach to information propagation in 1-D cellular neural networks. II. Global propagation
• An approach to information propagation in 1-D cellular neural networks-Part I: Local diffusion
• Periodic Oscillations and Bifurcations in Cellular Nonlinear Networks

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