MAKING A DISCRETE DYNAMICAL SYSTEM CHAOTIC: THEORETICAL RESULTS AND NUMERICAL SIMULATIONS

DOI10.1142/S0218127403008648zbMath1064.37516MaRDI QIDQ4669074

Dejian Lai, Guan-Rong Chen

Publication date: 15 April 2005

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

zbMATH Keywords

Lyapunov exponentsfeedback controlrandom perturbationnumerical simulationschaotification

Mathematics Subject Classification ID

Dynamical systems in control (37N35)

Related Items (6)

Anti-control of continuous-time dynamical systems ⋮ Chaotification of discrete dynamical systems via impulsive control ⋮ Chaotifying One-Dimensional Discrete Mappings Using S-Unimodality and Collet–Eckmann Condition ⋮ CHAOTIFYING CONTINUOUS-TIME NONLINEAR AUTONOMOUS SYSTEMS ⋮ A nonlinear model predictive control approach for robust end‐point property control of a thin‐film deposition process ⋮ CHAOTIFICATION OF DISCRETE SYSTEMS BASED ON MODELS IDENTIFIED FROM DATA

Cites Work

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• Distribution of controlled Lyapunov exponents: a statistical simulation study.
• Statistical analysis of Lyapunov exponents from time series: a Jacobian approach.
• An overview of bifurcation, chaos and nonlinear dynamics in control systems
• FEEDBACK CONTROL OF LYAPUNOV EXPONENTS FOR DISCRETE-TIME DYNAMICAL SYSTEMS
• COMPUTING THE DISTRIBUTION OF THE LYAPUNOV EXPONENT FROM TIME SERIES: THE ONE-DIMENSIONAL CASE STUDY
• FEEDBACK CONTROL OF CHAOS IN SPATIOTEMPORAL SYSTEMS
• Taming chaos. II. Control
• Feedback Anticontrol of Discrete Chaos

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