Titlebook: Synergetics; A Workshop Proceedin Hermann Haken Conference proceedings 1977 Springer-Verlag Berlin Heidelberg 1977 behavior.ecology.fields.

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圣人

Bifurcation of a Continuum of Unstable Modesf solutions present there is - under certain simple geometrical conditions - a selection principle yielding only a finite number of stable solutions. The geometrical conditions mentioned guarantee essentially “supercritical” bifurcation for the continuum as an entity and thus reflect at this level t

eucalyptus

The Bifurcation of T-periodic Solutions into nT-periodic Solutions and TORI[1] and on my forthcoming paper on factorization theorems [2]. In general, forced T-periodic solutions bifurcate into subharmonic solutions with a fixed period τ(τ=nT; n=1,2,3,4) independent of the amplitude or into a torus [1,3,4,5,6] containing solutions whose analytic properties are not yet fully

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TSH582

Instabilities in Fluid Dynamicsc fluid flow, do the disturbances either grow or do they decay? In the case that the disturbances grow we call the fluid unstable. If the disturbances decay we call the fluid stable. For the occurrence of instability it is not necessary that all possible disturbances grow, just one growing disturban

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surrogate

I. Basic Conceptsor current interest are threefold. First, methods have been found for finding these solutions analytically and therefore exactly, and ideas on their “completeness” have emerged. Second solitons have mathematical properties which make them particle-like and in those contexts of non-linear physics whe

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Decimate

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