Oscillation death in coupled nonautonomous systems with parametrical modulation

DOI10.1016/j.physleta.2003.09.017zbMath1098.37504OpenAlexW1988164332WikidataQ57091293 ScholiaQ57091293MaRDI QIDQ1409708

Alexander N. Pisarchik

Publication date: 19 October 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.017

zbMATH Keywords

Hopf bifurcationcoexisting-attractor crisisparametric linear stability analysis

Mathematics Subject Classification ID

Dynamical aspects of attractors and their bifurcations (37G35) Topological dynamics of nonautonomous systems (37B55)

Related Items (7)

Limitation of time-delay induced amplitude death ⋮ Quenching, aging, and reviving in coupled dynamical networks ⋮ Control of multistability ⋮ Intermittent lag synchronization in a nonautonomous system of coupled oscillators ⋮ Efficiency of the control of coexisting attractors by harmonic modulation applied in different ways ⋮ Control of bistability in a directly modulated semiconductor laser using delayed optoelectronic feedback ⋮ Spatial heterogeneity may form an inverse camel shaped Arnol’d tongue in parametrically forced oscillations

Cites Work

• Unnamed Item
• Shift of critical points in the parametrically modulated Hénon map with coexisting attractors
• Noisy parametric sweep through a period-doubling bifurcation of the Hénon map
• Amplitude death in an array of limit-cycle oscillators.
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Synchronization in chaotic systems

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