Amplitude death and synchronized states in nonlinear time-delay systems coupled through mean-field diffusion

DOI10.1063/1.4823599zbMath1331.34072arXiv1305.0150OpenAlexW3104502284WikidataQ44703434 ScholiaQ44703434MaRDI QIDQ2787876

Debabrata Biswas, Tanmoy Banerjee

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1305.0150

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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 (13)

Delay Effects on Amplitude Death, Oscillation Death, and Renewed Limit Cycle Behavior in Cyclically Coupled Oscillators ⋮ Explosive synchronization in multilayer networks through partial adaptation ⋮ Quenching oscillating behaviors in fractional coupled Stuart-Landau oscillators ⋮ Measuring the transient time of amplitude death in coupled oscillators ⋮ Amplitude death, oscillation death, and periodic regimes in dynamically coupled Landau-Stuart oscillators with and without distributed delay ⋮ Amplitude death, oscillation death, and stable coexistence in a pair of VDP oscillators with direct-indirect coupling ⋮ Oscillating synchronization in delayed oscillators with time-varying time delay coupling: Experimental observation ⋮ Quenching and restoration of oscillations under environmental interactions ⋮ Anormal diffusion enhancement of resonant responses for coupled oscillator networks to weak signals ⋮ Quenching, aging, and reviving in coupled dynamical networks ⋮ Control of bifurcation-delay of slow passage effect by delayed self-feedback ⋮ Coexistence of oscillation and quenching states: Effect of low-pass active filtering in coupled oscillators ⋮ Effects of propagation delay in coupled oscillators under direct–indirect coupling: Theory and experiment

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Cites Work

• Unnamed Item
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• Delay differential equations: with applications in population dynamics
• Complex time-delay systems. Theory and applications
• Theory of self-synchronization in the presence of native frequency distribution and external noises
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Amplitude death in nonlinear oscillators with indirect coupling
• The study of amplitude death in globally delay-coupled nonidentical systems based on order parameter expansion
• Design of coupling for synchronization in time-delayed systems
• Amplitude death in networks of delay-coupled delay oscillators
• El Niño and the delayed action oscillator
• Oscillation and Chaos in Physiological Control Systems
• Generalized lag synchronization of delay coupled chaotic systems via linear transformations
• Generalized projective synchronization in time-delayed systems: Nonlinear observer approach
• Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing

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