Closures of fractal sets in nonlinear dynamical systems with switched inputs

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 8, 2001, Pages 2205-2215

  Wada, Ryoichi ^a   Gohara, Kazutoshi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537564     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401003395     Document Type: Article

References (11)

1. Barnsley, M. F. [1993] Fractals Everywhere, 2nd edition (Academic Press, Boston).
2. Gohara, K. & Okuyama, A. [1999] "Dynamical systems excited by temporal inputs: Fractal transition between excited attractors," Fractals 7(2), 205-220.
3. Gohara, K., Sakurai, H. & Sato, S. [2000] "Experimental verification for fractal transition using a forced dumped oscillator," Fractals 8(1), 67-72.
4. Grassberger, P. & Procaccia, I. [1983] "Characterization of strange attractors," Phys. Rev. Lett. 50(5), 346-349.
5. Guckenheimer, J. & Johnson, S. D. [1995] "Planar hybrid systems," Hybrid Systems II, LNCS999 (Springer, NY) pp. 202-225.
6. Hutchinson, J. [1981] "Fractals and self similarity, Indiana J. Math. 30(5), 713-747.
7. Johnson, S. D. [1994] "Simple hybrid systems, Int. J. Bifurcation and Chaos 4(6), 1655-1665.
8. Sato, S. & Gohara, K. [2001] "Fractal transition in continuous recurrent neural networks," Int. J. Bifurcation and Chaos 11(2), 421-434.
9. Special Issue [1998] "Hybrid control systems," IEEE Trans. Automat. Contr. 43(4).
10. Utkin, V. I. [1978] Sliding Modes and Their Application in Variable Structure Systems (Mir, Moscow).
11. Wada, R. & Gohara, K. [2001] "Fractals and closures of linear dynamical systems excited stochastically by temporal inputs," Int. J. Bifurcation and Chaos 11(3), 755-779.