Peculiarities of the transitions to synchronization in coupled systems with amplitude death

DOI10.1063/1.3597643zbMath1317.34048OpenAlexW2015100099WikidataQ84486866 ScholiaQ84486866MaRDI QIDQ5264536

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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://semanticscholar.org/paper/18b77d82196b3e1711b031701ad7a4272012d3f1

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators ⋮ Quenching, aging, and reviving in coupled dynamical networks ⋮ Oscillation quenching mechanisms: amplitude vs. oscillation death ⋮ Amplitude death criteria for coupled complex Ginzburg-Landau systems

Cites Work

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• Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
• Amplitude response of coupled oscillators
• Synchronization. From simple to complex
• Theory of self-synchronization in the presence of native frequency distribution and external noises
• Some common dynamic features of coupled reacting systems
• Elements of applied bifurcation theory.
• Merging of resonance tongues
• Total and partial amplitude death in networks of diffusively coupled oscillators
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Synchronization of two non-scalar-coupled limit-cycle oscillators
• Amplitude death in an array of limit-cycle oscillators.
• BIFURCATION STRUCTURE OF THE DRIVEN VAN DER POL OSCILLATOR
• Parameter mismatches and oscillation death in coupled oscillators
• TAKENS–BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL

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