On the neighborhood in stabilizing period-\(T\) orbits for chaotic \(m\) degree polynomial dynamical system

DOI10.1016/S1007-5704(98)90042-9zbMath0932.37021OpenAlexW2093773426MaRDI QIDQ1288398

Zhenxun Huang, Jiong Ruan, En-Guo Gu

Publication date: 19 March 2000

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90042-9

zbMATH Keywords

Hénon maplinear feedback controlgain matrixcontrolling chaotic discrete systemneighborhood of period-\(T\) orbit

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Nonlinear measures and its application to the chaos control ⋮ ALGORITHM FOR ESTIMATION OF THE STABLE BASIN IN CONTROLLING CHAOTIC DISCRETE DYNAMICS

Cites Work

• Periodic entrainment of chaotic logistic map dynamics
• On the control of complex dynamic systems
• Control of a chaotic system
• Entrainment and migration controls of two-dimensional maps
• An improved estimation of the fixed point's neighborhood in controlling discrete chaotic systems
• STABILIZING HIGHER PERIODIC ORBITS
• ON LOCAL CONTROL OF CHAOS: THE NEIGHBOURHOOD SIZE
• ON FEEDBACK CONTROL OF CHAOTIC NONLINEAR DYNAMIC SYSTEMS
• FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
• Controlling chaos
• Multiple Solutions for a Semilinear Elliptic Equation

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