Titlebook: Dynamical Phase Transitions in Chaotic Systems; Edson Denis Leonel Book 2023 Higher Education Press Limited Company 2023 Scaling laws in n

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Carola Pantenburg,Gerhard Peter. The exponent, ., is obtained using a connection with the standard mapping in a transition from local to globally chaotic dynamics, where invariant spanning curves are destroyed. The exponent . is obtained by transforming the equation of differences into a differential equation, allowing a prompt s

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Marktversagen und Gefangenen-Dilemma,pecific time in the phase space. It is fundamental to investigate the chaotic diffusion along the phase space. We impose particular boundary conditions and concentrate all the particles leaving from an initial action and resolve analytically the probability density that provides the probability a pa

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Marktversagen und Gefangenen-Dilemma,amics and has two control parameters. One controls the intensity of the nonlinearity, while the other controls the dissipation. The parameter responsible for the transition is the dissipation, while the parameter driving the nonlinearity gives the elementary excitation of the dynamics. An order para

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Wundballistik der Kurzwaffengeschosse,s of the mapping that describe the particles’ dynamics, considering that the particle’s velocity is given by the application of the momentum conservation law at each impact with the moving boundary. The unlimited diffusion is measured in the average speed of the particle leading to a phenomenon call

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Wundballistik der Kurzwaffengeschosse,s of the particles with the boundary of the billiard. Two scaling laws emerge from a set of three scaling hypotheses. A scaling invariance is observed, giving pieces of evidence of a phase transition in the system.

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Wismut,ynamics of each particle in the billiard is made using a four-dimensional mapping with two relevant control parameters. One controls the intensity of the nonlinearity, and the other controls the amount of dissipation. An order parameter is identified with a parameter responsible for the transition a

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