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Category computation theory deals with a web-based systemic processing that underlies the morphic webs, which constitute the basis of categorial logical calculus. It is proven that, for these structur...
Numerical Chaos in a Fractional Order Logistic Map
Numerical Chaos Fractional Order Logistic Map
2010/11/17
In this paper we investigate a fractional order logistic map and its discrete time dynamics. We show some basic properties of the fractional logistic map and numerically study its period-doubling rout...
Influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system
nonlinear dissipation Lorenz-Haken system external perturbations
2010/4/2
We study an influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system. It will be show that varying in external potential parameters valu...
Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos
Probability densities sine-circle map chaos
2010/4/1
We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Centr...
The propagation of chaos is a central concept of kinetic theory that serves to relate the equations of Boltzmann and Vlasov to the dynamics of many-particle systems. Propagation of chaos means that mo...