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Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin

Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. (English) Zbl 1044.37019

Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 3, 535-559 (2002).

Cited in 1 Review
Cited in 29 Documents

MSC:

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

Keywords:

Nonisotropic spatiotemporal chaos; wave equation; van der Pol boundary condition; chaotic vibrations; numerical simulations; period-doubling; homoclinic orbits; Cantor-like invariant sets

Citations:

Zbl 0938.35088; Zbl 0938.35089
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\textit{G. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 3, 535--559 (2002; Zbl 1044.37019)
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References:

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