Permutations, periodicity, and chaos
نویسندگان
چکیده
منابع مشابه
Chaos , Periodicity , and Snakelike Continua
The results of this paper relate the dynamics of a continuous map/of the interval and the topology of the inverse limit space with bonding map /. These inverse limit spaces have been studied by many authors, and are examples of what Bing has called "snakelike continua". Roughly speaking, we show that when the dynamics of / are complicated, the inverse limit space contains indecomposable subcont...
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Cl91 H. Kwan, “On the problem of designing IIR digital filters with short coefficient wordlengths,” IEEE Tram. Acourt. Speech, Signal Processing, vol. ASSP-27, pp. 620-624, Dec. 1919. A. Sedlmeyer and A. Fettweis, “Digital filters with true ladder configuration,” Circuit Theory Appl., vol. 1, pp. 5-10, 1973. K. Renner and S. C. Gupta, “On the design of wave digital filters with low sensitivity ...
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Suppose that a parameter-dependent system has a stable equilibrium state for each parameter value in an interval and suppose that the equilibrium state has a first order dependence on the parameter. Basing ourselves on a mathematical result published earlier, we propose an algorithm to construct a negative feedback on the parameter which induces a Shilnikov or Lorenz type of chaos by building o...
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We survey recent results in one-dimensional dynamics, and as an application, we derive rigorous basic dynamical facts for two standard models in population dynamics, the Ricker and the Hassell families. We also informally discuss the concept of chaos in the context of one-dimensional discrete time models. First we use the model case of the quadratic family for an informal exposition and then we...
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We define an infinite permutation as a sequence of reals taken up to the order, or, equivalently, as a linear ordering of a finite or countable set. Then we introduce and characterize periodic permutations; surprisingly, for each period t there is an infinite number of distinct t-periodic permutations. At last, we introduce a complexity notion for permutations analogous to subword complexity fo...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1977
ISSN: 0097-3165
DOI: 10.1016/0097-3165(77)90063-2