Delay-differential equation versus 1D-map: application to chaos control

DOI10.1016/S0167-2789(96)00299-0zbMath0897.34059OpenAlexW1972242355WikidataQ115339599 ScholiaQ115339599MaRDI QIDQ1356007

Patrick Celka

Publication date: 4 June 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00299-0

zbMATH Keywords

chaotic motionelectronic circuitgeneralized mean Floquet multipliersharmonic periodic solutionsmean Lyapunov exponentsnonlinear optical system

Mathematics Subject Classification ID

Application models in control theory (93C95) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (6)

Stabilization of unstable periodic attractors of complex damped nonlinear dynamical systems. ⋮ Ultra-high-frequency chaos in a time-delay electronic device with band-limited feedback ⋮ Adaptive control of chaotic continuous-time systems with delay ⋮ Symmetry breaking, bifurcations, periodicity and chaos in the Euler method for a class of delay differential equations ⋮ ANTICONTROL OF CHAOS FOR A CONTINUOUS-TIME TAKAGI–SUGENO FUZZY SYSTEM VIA LOCAL TIME-DELAY FEEDBACK ⋮ CHAOTIFICATION OF A NONLINEAR VIBRATION ISOLATION SYSTEM BY DUAL TIME DELAYED FEEDBACK CONTROL

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