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Titlebook: Nonlinear Dynamics and Chaotic Phenomena: An Introduction; Bhimsen K. Shivamoggi Book 2014Latest edition Springer Science+Business Media D

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Bifurcation Theory,he linearized flow. On the other hand, the bifurcation process is determined by the dynamics on the . at the bifurcation point. The . on the center manifold proves to be convenient for a discussion of local bifurcation because, as we saw in Chap.?., this causes a reduction in dimensionality and, the
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Fractals and Multi-fractals in Turbulence,xistence of strictly invariant measures in turbulence, experimental observations strongly support the idea that turbulence at small scales organizes itself into a . state. Apparently, as the Reynolds number of the flow becomes infinite, all the invariance properties of the Navier-Stokes equations, p
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Book 2014Latest editionby the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from sim
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