Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. (English) Zbl 0938.35089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 3, 447-470 (1998). Cited in 1 ReviewCited in 31 Documents MSC: 35L20 Initial-boundary value problems for second-order hyperbolic equations 35L05 Wave equation 34C37 Homoclinic and heteroclinic solutions to ordinary differential equations 93C20 Control/observation systems governed by partial differential equations 74H45 Vibrations in dynamical problems in solid mechanics 35B10 Periodic solutions to PDEs Keywords:van der Pol type boundary condition; hysteresis iterations with memory effects; chaotic and nonchaotic phenomena Citations:Zbl 0938.35091; Zbl 0916.35065 PDF BibTeX XML Cite \textit{G. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 3, 447--470 (1998; Zbl 0938.35089) Full Text: DOI OpenURL References: [1] Chen G., Trans. Amer. Math. Soc., to appear. (1998) [2] DOI: 10.1142/S0218127498000280 · Zbl 0938.35088 [3] DOI: 10.1090/S0002-9947-1980-0580905-3 [4] DOI: 10.1007/BF01174335 · Zbl 0658.35065 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.