Desynchronization bifurcation of coupled nonlinear dynamical systems

DOI10.1063/1.3581154zbMath1317.34047arXiv1101.3130OpenAlexW3101620658WikidataQ84486806 ScholiaQ84486806MaRDI QIDQ5264520

Suman Acharyya, R. E. Amritkar

Publication date: 27 July 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3130

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

Synchronization of fractional-order chaotic systems using unidirectional adaptive full-state linear error feedback coupling, From approximate synchronization to identical synchronization in coupled systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Stability of synchronized chaos in coupled dynamical systems
• The synchronization of chaotic systems
• An equation for continuous chaos
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Transition to chaos for random dynamical systems
• Synchronization in chaotic systems