CONTROLLING STOCHASTIC OSCILLATIONS CLOSE TO A HOPF BIFURCATION BY TIME-DELAYED FEEDBACK

DOI10.1142/S0219493705001407zbMath1082.93060MaRDI QIDQ5694412

A. Neiman, Eckehard Schöll, Alexander G. Balanov, Natalia B. Janson

Publication date: 30 September 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

controlnoise-induced oscillationsStochastic delay-differential equations

Mathematics Subject Classification ID

Optimal stochastic control (93E20) White noise theory (60H40) Stochastic functional-differential equations (34K50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (9)

NOISE-INDUCED OSCILLATIONS AND THEIR CONTROL IN SEMICONDUCTOR SUPERLATTICES ⋮ An adaptive delayed feedback control method for stabilizing chaotic time-delayed systems ⋮ Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment ⋮ Bifurcation dynamics of the tempered fractional Langevin equation ⋮ Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback ⋮ Chaotic Itinerancy Observed in Mutually Coupled Gaussian Maps ⋮ Coherence resonance in a network of FitzHugh-Nagumo systems: Interplay of noise, time-delay, and topology ⋮ Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities ⋮ CONTROL OF SYNCHRONIZATION IN COUPLED NEURAL SYSTEMS BY TIME-DELAYED FEEDBACK

Cites Work

• Control of noise-induced oscillations by delayed feedback
• On analytical properties of delayed feedback control of chaos.
• On the theory of optimal control. Sufficient coordinates
• Qualitative behaviour of stochastic delay equations with a bounded memory
• Langevins stochastic differential equation extended by a time-delayed term

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