NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION

DOI10.1142/S0218127402004504zbMath1044.37019OpenAlexW2032362128MaRDI QIDQ4736358

Goong Chen, Sze-Bi Hsu, Jian Xin Zhou

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402004504

zbMATH Keywords

wave equationhomoclinic orbitsnumerical simulationsperiod-doublingchaotic vibrationsvan der Pol boundary conditionCantor-like invariant setsNonisotropic spatiotemporal chaos

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Wave equation (35L05) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Initial value problems for second-order hyperbolic equations (35L15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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Cites Work

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