Topological entropy for multidimensional perturbations of one-dimensional maps

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 5, 2001, Pages 1443-1446

  Misiurewicz, Michał ^a   Zgliczyński, Piotr ^b  

^a INDIANA UNIVERSITY   (United States)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035324902     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740100281X     Document Type: Article

References (11)

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4. Kuramoto,Y. [1980] "Instability and turbulence of wave-fronts in reaction-diffusion systems," Prog. Theor. Phys. 63, 1885-1903.
5. Misiurewicz, M. [1979] "Horseshoes for mappings of an interval," Bull. Acad. Polon. Sd., Sér. Sei. Math. 27, 167-169.
6. Misiurewicz, M. & Szlenk, W. [1980] "Entropy of piece-wise monotone mappings," Studia Math. 67, 45-63.
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8. Zgliczyński, P. [1999a] "Sharkovskii theorem for multidimensional perturbations of 1-dim maps," Ergod. Th. Dyn. Syst. 19, 1655-1684.
9. Zgliczyński, P. [1999b] "Multidimensional perturbations of one-dimensional maps and stability of Sharkovskii ordering," Int. J. Bifurcation and Chaos 9, 1867-1876.
10. Zgliczyński, P. [1999c] "Sharkovskii theorem for multidimensional perturbations of one-dimensional maps II," Topol. Meth. Nonlin. Anal. 14, 169-182.
11. Zgliczyński, P. & Mischaikow, K. [2000] "Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation," preprint.