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

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The Statistical Physics of Aperiodic Motiony structure of unstable manifolds can be directly understood in terms of the spectrum .(.), and also that a fixed relationship exists between the spectra of this expansion rate and the local dimension.

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A Physical Approach to Chaosiodic orbits that determine the form and structure of the chaotic behavior exhibited by any given system. In this chapter we consider the problem of identifying the descriptive signature of such a set of orbits, and we establish the point of view from which we will elucidate the nature of chaos.

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Introduction to Part III: What Is a Leader? and in many cases it appears on a macroscopic scale. For this reason, the most natural theoretical description of these phenomena should begin with a consideration of macro-level, nonlinear evolution equations such as the Navier-Stokes equation. Each chapter in Part I is based on this consideration

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