Titlebook: Cell-to-Cell Mapping; A Method of Global A C. S. Hsu Book 1987 Springer Science+Business Media New York 1987 Potential.Power.Rang.algorithm

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Introduction and Overview,lysis of nonlinear systems, which can provide a good understanding of their behavior, have, therefore, wide applications. In the classical mathematical analysis of nonlinear systems (Lefschetz [1957], Bogoliubov and Mitropolsky [1961], Minorsky [1962], Cesari [1963], Hayashi [1964], Andronov et al.

Canopy

Point Mapping,-dimensional state vector, . the time variable, . a .-dimensional parameter vector, and F a vector-valued function of ., .,and .. A motion of the system with a given . defines a trajectory in the .-dimensional state space of the system which will be denoted by ... We assume that F(., ., .) satisfies

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Arb853

Singularities of Cell Functions,ons 5.1 and 5.2. With these low-dimensional functions the basic geometrical ideas are much easier to appreciate. Before proceeding, let us introduce some terms which will be found convenient in the following discussions.

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千篇一律

Theory of Generalized Cell Mapping,a nonlinear system governed by a differential equation or a point mapping, it is quite effective in delineating the broad pattern of the global behavior of the system. Since in creating the simple cell mapping only one point within the cell, usually the center point, is used, one cannot expect the m

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Algorithms for Analyzing Generalized Cell Mappings,discussion it is obvious that if a normal form of the transition probability matrix can be found, then a great deal of the system behavior is already on hand. To have a normal form (10.3.7) is essentially to know the persistent groups and the transient groups. In Section 10.5 we have seen some simpl

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Study of Strange Attractors by Generalized Cell Mapping, Many of the papers may be found in Feigenbaum [1980], Ott [1981], Lichtenberg and Lieberman [1982], Jensen and Oberman [1982], Guckenheimer and Holmes [1983], and Hao [1984]. The basic intrigue of this phenomenon comes from the observation that although a strange attractor yields a chaotic motion,

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