Titlebook: An Exploration of Dynamical Systems and Chaos; Completely Revised a John H. Argyris,Gunter Faust,Rudolf Friedrich Textbook 2015 Springer-Ve

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Dynamical Systems with Dissipation,acterised by the fact that a volume of an element in the phase space remains invariant, (see eq. (4.1.30), Liouville theorem). In this chapter, we expand our theoretical considerations and deal with non-linear dissipative systems, i.e. dynamical systems experiencing a loss of energy. If we again obs

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,Convective Flow:BénardProblem,nd gases as they evolve and undergo transformations under the influence of inhomogeneities in the temperature. We then speak of convective flows, thermal convection or simply convection..Spectacular geophysical examples of such phenomena are the circulation in the atmosphere and the oceans as well a

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Routes toChaos,gular dynamical behaviour becoming chaotic. What is surprising is that the specific form of the law of motion is not so important, but rather that the different routes to chaos possess universal character. The same transition to chaotic behaviour which we find with the Duffing oscillator, for exampl

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Turbulence,rivers or in the eddies of the current behind the pier of a bridge. Turbulences in the earth’s atmosphere are the cause of the evolution of bizarre cloud formations that stir the imagination and in the emergence of destructive hurricanes. In astronomy, turbulences also play an important role: think

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