BOUNDARY FEEDBACK ANTICONTROL OF SPATIOTEMPORAL CHAOS FOR 1D HYPERBOLIC DYNAMICAL SYSTEMS

DOI10.1142/S021812740401031XzbMath1129.37320OpenAlexW2085961605MaRDI QIDQ4655651

Yu Huang

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s021812740401031x

zbMATH Keywords

total variationwave equationChaosanticontrol

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (9)

Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case ⋮ Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\) ⋮ Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions ⋮ PERTURBATION OF THE CHAOTIC 1D MIXED WAVE SYSTEM CAUSES THE UNBOUNDED GROWTH OF THE SNAPSHOTS OF THE GRADIENT ⋮ CONTROLLING IDEAL TURBULENCE IN TIME-DELAYED CHUA'S CIRCUIT: STABILIZATION AND SYNCHRONIZATION ⋮ CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM ⋮ Rapid fluctuation for topological dynamical systems ⋮ Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions ⋮ Analyzing displacement term's memory effect in a nonlinear boundary value problem to prove chaotic vibration of the wave equation

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