Emergence of death islands in fractional-order oscillators via delayed coupling

DOI10.1016/j.cnsns.2018.09.015OpenAlexW2893185570WikidataQ129246391 ScholiaQ129246391MaRDI QIDQ2206181

Xiaoli Yang, Zhongkui Sun, Wei Xu, Rui Xiao

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.09.015

zbMATH Keywords

delayed couplingdeath islandsfractional-order oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Periodic solutions to functional-differential equations (34K13) Functional-differential equations with fractional derivatives (34K37)

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Cites Work

• Unnamed Item
• Adaptive synchronization of fractional-order memristor-based neural networks with time delay
• Oscillation quenching mechanisms: amplitude vs. oscillation death
• Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
• Stability analysis of linear fractional differential system with multiple time delays
• Remarks on fractional derivatives
• Amplitude response of coupled oscillators
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Amplitude death in an array of limit-cycle oscillators.
• Amplitude death induced by fractional derivatives in nonlinear coupled oscillators
• SYNCHRONIZATION OF CHAOS
• Quenching oscillating behaviors in fractional coupled Stuart-Landau oscillators
• Taming stochastic bifurcations in fractional-order systems via noise and delayed feedback
• Generating and enhancing lag synchronization of chaotic systems by white noise