Titlebook: Dissipative Structures and Chaos; Hazime Mori,Yoshiki Kuramoto Textbook 1998 Springer-Verlag Berlin Heidelberg 1998 Chaos.Chaotic Attracto

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The Early Life of Ronald Harold Coasetem in question can be reduced to a relatively simple form we refer to as an amplitude equation. Then, as a representative example of this reduction procedure, we derived the Newell-Whitehead (NW) equation using phenomenological considerations. In this chapter, we investigate how different types of

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AFFIX

https://doi.org/10.1057/9781137341280 the statement, “Slow degrees of freedom govern the dynamics of the system,” was extremely effective. In Chap. 2, the weakly unstable mode in the neighborhood of the bifurcation point served as the slow degree of freedom, while in Chap. 3 this was the concentration of the inhibiting substance presen

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OVERT

Lara Behrens,Christoph Moss,Mona Sadrowskind unpredictable solutions - chaotic orbits - come to be widely understood as universal phenomena in nonlinear dynamical systems. As we understand it now, chaos can be thought of as the main cause of the diversity that we see displayed in Nature’s perpetually changing panorama.

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Parabola

https://doi.org/10.1007/978-1-4615-4619-1 of a bifurcation parameter can cause various saddle points to enter and leave attractors. Chaotic bifurcations result from the collision of an attractor with such points and their resultant inclusion into the attractor.

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https://doi.org/10.1007/978-1-4615-4619-1eat variety of chaotic phenomena that we observe results from the limitless variation in the types of invariant sets contained by the systems we encounter. The nature of the invariant sets that appear in any given system and the resulting behavior that it exhibits depend both on the type of system i