Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III. Natural hysteresis memory effects

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 3, 1998, Pages 447-470

  Chen, Goong ^a   Hsu, Sze Bi ^b   Zhou, Jianxin ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20244376124     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000292     Document Type: Article

References (8)

1. Chen, G., Hsu, S. B. & Zhou, J. [1998a] "Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition, Part I: Controlled hysteresis," Trans. Amer. Math. Soc., to appear.
2. Chen, G., Hsu, S. B. & Zhou, J. [1998b] "Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II. Energy injection, periodic doubling and homoclinic orbits," Int. J. Bifurcation and Chaos 8(3), 423-445.
3. Chern, C. J. [1995] "On an iterative process describing natural hysteresis," Masters Thesis, Institute of Applied Mathematics, Tsing Hua University, Hsinchu, Taiwan, R.O.C., May 1995.
4. Devaney, R. L. [1989] An Introduction to Chaotic Dynamical Systems (Addison-Wesley, New York).
5. Keener, J. P. [1980] "Chaotic behavior in piecewise continuous difference equations," Trans. Amer. Math. Soc. 261, 589-604.
6. Parker, S. P. et al. [1982] McGraw-Hill Encyclopedia of Physics (McGraw-Hill, New York).
7. Stoker, J. J. [1950] Nonlinear Vibrations (Wiley-Interscience, New York).
8. Visintin, A. [1986] "A model for hysteresis in distributed systems," Math. Zeit. 193, 247-264.