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The structure of dendrites constructed by pointwise P-expansive maps on the unit interval
1. | Research and Support Center on Higher Education, for the Hearing Impaired and Visually Impaired, Tsukuba University of Technology, Ibaraki 305-8520, Japan |
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T. Arai and N. Chinen, The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval, Discrete Continuous Dynam. Systems - A, 11 (2004), 547-556.
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T. Arai, N. Chinen, H. Kato and K. Yokoi, The construction of P-expansive maps of regular continua : A geometric approach, Topology Appl., 103 (2000), 309-321.
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show all references
References:
[1] |
L. Alseda, S. Baldwin, J. Llibre and M. Misiurewicz, Entropy of transitive tree maps, Topology, 36 (1997), 519-532.
doi: 10.1016/0040-9383(95)00070-4. |
[2] |
T. Arai and N. Chinen, The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval, Discrete Continuous Dynam. Systems - A, 11 (2004), 547-556.
doi: 10.3934/dcds.2004.11.547. |
[3] |
T. Arai, N. Chinen, H. Kato and K. Yokoi, The construction of P-expansive maps of regular continua : A geometric approach, Topology Appl., 103 (2000), 309-321.
doi: 10.1016/S0166-8641(99)00004-8. |
[4] |
S. Baldwin, Toward a theory of forcing on maps of trees, Int. J. Bifurcation and Chaos, 8 (1995), 45-56. |
[5] |
L. S. Block and W. A. Coppel, Dynamics in One Dimension, Lecture Notes in Math. 1513, Springer-Verlag, Berlin, 1992. |
[6] |
S. B. Nadler Jr, Continuum Theory An Introduction, Pure and Appl. Math. 158, Marcel Dekker, New York, 1992. |
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