Titlebook: Bifurcation and Chaos; Theory and Applicati Jan Awrejcewicz Book 1995 Springer-Verlag Berlin Heidelberg 1995 bifurcation.chaos.dynamics.non

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On the Complete Characterization of Chaotic Attractors,stems. It includes problems of scaling behaviour (scale invariance and nonunified thermodynamic formalism), the unified approach (the generalized entropy function and hyperbolic models with complete grammars) and proposed extensions (convergence properties, influence of grammar, nonhyperbolicity and

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Catastrophe Theory and the Vibro-impact Dynamics of Autonomous Oscillators,he generation of homoclinic tangles by the translation of segments of stable and unstable manifolds across each other. This article discusses the non-differentiability of autonomous vibro-impact systems using the methods of catastrophe theory. The singularities are characterised by a hypersurface un

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Codimension Two Bifurcation and Its Computational Algorithm,s. The generic bifurcations of the periodic solution are known as codimension one bifurcations: tangent bifurcation, period doubling bifurcation and the Hopf bifurcation. At the parameters for which bifurcation occurs, if a periodic solution satisfies two bifurcation conditions, then the bifurcation

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Chaos and Its Associated Oscillations in Josephson Circuits,ions. The computer analysis is carried out for the oscillations of two types of a Josephson element, one of which is a tunnel type and the other a bridge type. The Josephson circuits considered here are an rf-driven circuit, an autonomous oscillation circuit and a distributed parameter circuit. The