Chaotic dynamical behaviors of a one-dimensional wave equation

DOI10.1016/j.jmaa.2010.03.070zbMath1195.35201OpenAlexW2075137857MaRDI QIDQ984714

Xu Zhang, Lijuan Zhang, Yuming Shi

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.070

zbMATH Keywords

snap-back repellerchaoswave equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items

Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions, Chaotic Oscillations of 1D Wave Equation Due to a Generalized Nonlinear Energy-Decay Boundary Condition, Chaotic vibration of a two-dimensional wave equation with nonlinear boundary condition, Chaotic oscillations of one-dimensional coupled wave equations with mixed energy transports, Chaotic oscillations of wave equations due to nonlinear boundary condition, Chaotic Dynamical Behavior of Coupled One-Dimensional Wave Equations

Cites Work

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• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition.
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