Titlebook: Nonlinear Dynamics and Chaotic Phenomena; An Introduction Bhimsen K. Shivamoggi Book 1997 Springer Science+Business Media Dordrecht 1997 ap

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Bifurcation Theory, behavior by exchanging stability between manifolds. This signifies the occurrence of a bifurcation. Bifurcation or branching occurs in a system when the state of the system depends on some parameter and as that parameter varies the state branches to another state at some critical value of the param

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Chaos in Dissipative Systems,iltonian system preserves volumes in phase space. Dissipative systems, by contrast, usually give rise to solution flows which contract volumes in phase space. Though this volume contraction is a local property in phase space, it produces global effects by giving rise to a bounded set in the phase sp

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Fractals and Multi-Fractals in Turbulence,fluctuations in a range of frequencies and wavenumbers are present, the width of the range changing with certain flow parameters like the Reynolds number. The various component motions interact through the nonlinear terms in the equations of motion, and the observed properties of the turbulence are

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