OPTIMAL FLUCTUATIONS AND THE CONTROL OF CHAOS

DOI10.1142/S0218127402004528zbMath1044.37023WikidataQ62556220 ScholiaQ62556220MaRDI QIDQ4736360

Stefano Beri, D. G. Luchinsky, Riccardo Mannella, I. A. Khovanov, Peter V. E. McClintock

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

stochastic processHamiltonian dynamicsOptimal controloptimal pathnonlinear oscillatorescapecontrol of chaosadaptive chaos controllarge fluctuationsoptimal force

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Adaptive control/observation systems (93C40) Control problems involving ordinary differential equations (34H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (8)

Noise-induced transition in the Zeldovich–Semenov model with local and global bifurcations ⋮ Noise induced escape from a nonhyperbolic chaotic attractor of a periodically driven nonlinear oscillator ⋮ Noise-induced escape through a chaotic saddle: lowering of the activation energy ⋮ Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations ⋮ Stabilization of stochastic cycles and chaos suppression for nonlinear discrete-time systems ⋮ Quasi-threshold phenomenon in noise-driven Higgins model ⋮ Sensitivity and chaos control for the forced nonlinear oscillations ⋮ Control of stochastically perturbed self-oscillations

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