This work conjecture the universal exponents gamma=beta=3/2 for trapping of trajectories to regular islands based on analytical results for a wide class of area-preserving maps.Expand

Some non-Gaussian aspects of chaotic transport are investigated for a general class of two-dimensional area-preserving maps. Kurtosis, in particular, is calculated from the diffusion and the Burnett… Expand

A differential form for the Perron-Frobenius evolution operator is introduced in which normal diffusion and superdiffusion are treated separately through phases formed by angular wave numbers, resulting in a Schloemilch series with an exponent beta=3/2 for the divergences.Expand

It is shown that α≈0.567 and 0.605 correspond, respectively, to the one-sided Lévy and Mittag-Leffler distributions with shortest maxima, and how these results can elucidate some recently described dynamical behavior of intermittent systems is discussed.Expand

The leading Pollicott-Ruelle resonance is calculated analytically for a general class of two-dimensional area-preserving maps, and a new effect emerges: the angular evolution can induce fast or slow modes of diffusion even in the high stochasticity regime.Expand

A nonlinear mathematical model of cancer immunosurveillance that takes into account some of these features based on cell-mediated immune responses, and describes phenomena that are seen in vivo, such as tumor dormancy, robustness, immunoselection over tumor heterogeneity and strong sensitivity to initial conditions in the composition of tumor microenvironment.Expand

We consider a general class of intermittent maps designed to be weakly chaotic, i.e., for which the separation of trajectories of nearby initial conditions is weaker than exponential. We show that… Expand

A distributional limit theorem is used to provide both a powerful tool for calculating thermodynamic potentials as also an understanding of the dynamic characteristics at each instability phase of Pomeau-Manneville intermittent maps.Expand

We address here the problem of extending the Pesin relation among positive Lyapunov exponents and the Kolmogorov–Sinai entropy to the case of dynamical systems exhibiting subexponential… Expand

It is demonstrated that a recent conjecture stating that correlation functions and tail probabilities of finite time Lyapunov exponents would have the same power law decay in weakly chaotic systems fails for a generic class of maps of the Pomeau-Manneville type.Expand