The Control of Chaos: Theoretical Schemes and Experimental Realizations

DOI10.1142/S0218127498001315zbMath0941.93529OpenAlexW2026791908MaRDI QIDQ4941340

Celso Grebogi, Riccardo Meucci, M. Ciofini, Fortunato Tito Arecchi, Stefano Boccaletti

Publication date: 3 April 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498001315

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10)

Related Items (12)

Synchronization of uncertain chaotic systems with parameters perturbation via active control ⋮ Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems ⋮ Bringing order to disorder: a method for stabilising a chaotic system around an arbitrary unstable periodic orbit ⋮ Stabilizing unstable fixed points of chaotic maps via minimum entropy control ⋮ Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator ⋮ Stabilizing chaos with predictive control ⋮ Stabilizing periodic orbits of chaotic systems using fuzzy control of Poincaré map ⋮ On the fuzzy minimum entropy control to stabilize the unstable fixed points of chaotic maps ⋮ Generalized chaos control and synchronization by nonlinear high-order approach ⋮ Controlling the chaos using fuzzy estimation of OGY and Pyragas controllers ⋮ A novel boundedness-based linear and nonlinear approach to control chaos ⋮ Synchronization of chaotic systems with parametric uncertainty using active sliding mode control

Cites Work

• An equation for hyperchaos
• Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
• Controlling chaos
• Classification of strange attractors by integers
• Taming chaotic dynamics with weak periodic perturbations
• A frequency approach for analyzing and controlling chaos in nonlinear circuits

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