![]() ![]() Based on these results, the paper furthermore establishes the topological (equi-)semiconjugacy and (equi-)conjugacy between induced set-valued systems and subshifts of finite type. Second, the relationships of several related dynamical behaviors between the non-autonomous discrete system and its induced set-valued system are investigated. Consequently, estimations of topological entropy and several criteria of Li–Yorke chaos and distributional chaos in a sequence are derived. Further, several sufficient conditions for it to be topologically equi-semiconjugate or equi-conjugate to a subshift of finite type are obtained. First, some necessary and sufficient conditions are given for a non-autonomous discrete system to be topologically semiconjugate or conjugate to a subshift of finite type. doi:10.1016/j.tcs.2004.11.This paper establishes topological (equi-)semiconjugacy and (equi-) conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Kari, “Theory of Cellular Automata: A Survey,” Theoretical Computer Science, Vol. Moothathu, “Homogeneity of Surjective Cellular Automata,” Discrete Continuous Dynamic Systems, Vol. Yu, “Computation Theoretic Aspects of Cellular Automata,” Physica D, Vol. Banks, “Regular Periodic Decompositions for Topologically Transitive Maps,” Ergodic Theory and Dynamical Systems, Vol. Zhou, “Symbolic Dynamics,” Shanghai Scientific and Technological Education Publishing House, Shanghai, 1997. Kitchens, “Symbolic Dynamics: One-Sided, Two-Sided and Countable State Markov Shifts,” Springer-Verlag, Berlin, 1998. Margara, “Transitive Cellular Automata Are Sensitive,” The American Mathematical Monthly, Vol. Stacey, “On the Devaney’s Definition of Chaos,” The American Mathematical Monthly, Vol. Margara, “Additive One-Dimensional Cellular Automata Are Chaotic According to Devaney’s Definition of Chaos,” Theoretical Computer Science, Vol. Devaney, “An Introduction to Chaotic Dynamical Systems,” Addison-Wesley, Hazard, 1989. Chen, “Extending Chua’s Global Equivalence Theorem on Wolfram’s New Kind of Science,” International Journal of Bifurcation and Chaos, Vol. Jin, “Chaos and Gliders in Periodic Cellular Automaton Rule 62,” Journal of Cellular Automata, Vol. Chen, “Some Nonrobust Bernolli-Shift Rules,” International Journal of Bifurcation and Chaos, Vol. Chen, “Symbolics Dynamics of Elementary Cellular Automata Rule 88,” Nonlinear Dynamics, Vol. Chen, “Complex Dynamics of Cellular Automata Rule 119,” Physica A, Vol. Chen, “Complex Symbolic Dynamics of Chua’s Period-2 Rule 37,” Journal of Cellular Automata, Vol. Chen, “Extending the Symbolic Dynamics of Chua’s Bernoulli-Shift Rule 56,” Journal of Cellular Automata, Vol. Chen, “Chaos of Elementary Cellular Automata Rule 42 of Wolfram’s Class II,” Chaos, Vol. Shin, “A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, Part VIII: More Isles of Eden,” International Journal of Bifurcation and Chaos, Vol. Shin, “A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, Part VII: Isle of Eden,” International Journal of Bifurcation and Chaos, Vol. Yoon, “A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Scienc, Part VI: From Time-Reversible Attractors to the Arrows of Time,” International Journal of Bifurcation and Chaos, Vol. Yoon, “A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, Part IV: From Bernoulli-Shift to 1/f Spectrum,” International Journal of Bifurcation and Chaos, Vol. Hedlund, “Endomorphisms and Automorphism of the Shift Dynamical System,” Mathematical System Theory, Vol. Wolfram, “A New Kind of Science,” Wolfram Media, Inc., Champaign, 2002. Wolfram, “Theory and Application of Cellular Automata,” Word Scientific, Singapore Cty, 1986. Wolfram, “Computation Theory of Cellular Automata,” Communications in Mathematical Physics, Vol. Gardner, “The Fantastic Combinations of John Conway’s New Solitaire Game Life,” Scientific American, Vol. von Neumann, “Theory of Self-Reproducing Automata,” University of Illinois Press, Urbana and London, 1966.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |