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
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Publication:4701576
DOI10.1063/1.532670zbMath0959.37027OpenAlexW2058791052MaRDI QIDQ4701576
Goong Chen, Sze-Bi Hsu, Jian Xin Zhou
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/a929659ae5dfadaf278f387999b471807d25f7ae
wave equationhomoclinic orbitsrepelling fixed pointschaotic vibrationtransmissionswave reflectionssnapback repellersvan der Pol type nonlinear boundary condition
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Second-order nonlinear hyperbolic equations (35L70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
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- LINEAR SUPERPOSITION OF CHAOTIC AND ORDERLY VIBRATIONS ON TWO SERIALLY CONNECTED STRINGS WITH A VAN DER POL JOINT
- Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition.
- Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.
