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Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. (English) Zbl 0938.35089


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
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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
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