Locally and globally riddled basins in two coupled piecewise-linear maps

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 6, 1997, Pages 6393-6399

  Maistrenko, Yu ^a   Kapitaniak, T ^b   Szuminski, P ^b  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

^b LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001653186     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6393     Document Type: Article

References (32)

1. H. Fuijsaka and T. Yamada, Prog. Theor. Phys.70, 1240 (1983).PTPKAV
2. V S. Afraimovich, N N. Verichev, and M I. Rabinovich, Radiophys. Quantum Electron.29, 795 (1986).RPQEAC
3. L. Pecora and T S. Carroll, Phys. Rev. Lett.64, 821 (1990).PRLTAO
4. L. Pecora and T S. Carroll, IEEE Trans. Circuits Syst.38, 453 (1991).ICSYBT
5. V S. Anishchenko, T E. Vadivasova, D E. Postnov, and M A. Safanova, Radio Eng. Electron. Phys.36, 338 (1991).RENPAL
6. T. Endo and L O. Chua, Int. J. Bifurcation Chaos1, 701 (1991).
7. M. De Sousa, A J. Lichtenberg, and M A. Lieberman, Phys. Rev. A46, 7359 (1992).PLRAAN
8. Y.-C. Lai and C. Grebogi, Phys. Rev. E47, 2357 (1993).PLEEE8
9. T. Kapitaniak, Phys. Rev. E50, 1642 (1994).PLEEE8
10. T. Kapitaniak, L O. Chua, and G.-Q. Zhong, Int. J. Bifurcation Chaos4, 483 (1994).
11. K M. Cuomo and A V. Oppenheim, Phys. Rev. Lett.71, 65 (1993).PRLTAO
12. U. Parlitz, L O. Chua, L. Kocarev, K. Halle, and A. Shang, Int. J. Bifurcation Chaos2, 973 (1992).
13. T. Kapitaniak, M. Sekieta, and M. Ogorzalek, Int. J. Bifurcation Chaos6, 211 (1996).
14. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A193, 126 (1994).PYLAAG
15. E. Ott and J C. Sommerer, Phys. Lett. A188, 39 (1994).PYLAAG
16. J. MilnorCommun. Math. Phys.99, 177 (1985).CMPHAY
17. E. Ott, J C. Sommerer, J C. Alexander, I. Kan, and J A. Yorke, Physica D76, 384 (1994).PDNPDT
18. J C. Alexander, I. Kan, J A. Yorke, and Z. You, Int. J. Bifurcation Chaos2, 795 (1992).
19. J F. Heagy, T. Carroll, and L. Pecora, Phys. Rev. Lett.73, 3528 (1994).PRLTAO
20. T. Kapitaniak, J. Phys. A28, 63 (1995).JPHAC5
21. V. L. Maistrenko, Yu. L. Maistrenko, and J. M. Sushko (unpublished).
22. Yu. L. Maistrenko, V. L. Maistrenko, and L. O. Chua, Int. J. Bifurcation Chaos 3, 1557 (1993).
23. V. L. Maistrenko, Yu. L. Maistrenko, and J. M. Sushko, in Chaos and Nonlinear Mechanics, edited by T. Kapitaniak and J. Brindley (World Scientific, Singapore, 1994).
24. D. Veitch and P. Glendinning, Physica D44, 149 (1990).PDNPDT
25. L. Gardini, R. Abraham, R J. Record, and D. Fournier-Prunaret, Int. J. Bifurcation Chaos4, 145 (1995).
26. P. Celka, Physica D90, 235 (1996).PDNPDT
27. H E. Nusse and J A. Yorke, Int. J. Bifurcation Chaos5, 189 (1995).
28. Y. Maistrenko and T. Kapitaniak, Phys. Rev. E54, 6531 (1996).PLEEE8
29. A S. Pikovsky and P. Grassberger, J. Phys. A24, 4587 (1991).JPHAC5
30. Y.-C. Lai, C. Grebogi, J A. Yorke, and S C. Venkataramani, Phys. Rev. Lett.77, 55 (1996).PRLTAO
31. T. Kapitaniak and Y. Maistrenko, Chaos Solitons Fractals (to be published).
32. P. Ashwin, J. Buescu, and I. Stewart, Nonlinearity9, 703 (1996). NONLE5