ha o - dy n / 99 10 02 0 v 1 1 4 O ct 1 99 9 A Stochastic Approach to the Construction of One - Dimensional Chaotic Maps with Prescribed Statistical Properties

ar X iv : c ha o - dy n / 99 11 02 5 v 1 1 8 N ov 1 99 9 General properties of propagation in chaotic systems

We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture is successfully tested in three different contexts: (i) a Hamiltonian system (a Fermi-Pasta-Ulam chain of oscillators); (ii) a general model for spatio-temporal chaos (the complex Ginzburg-Landau equation); (iii) exp...

ha o - dy n / 99 10 00 3 v 1 3 O ct 1 99 9 Chaotic Properties of Subshifts Generated by a Non - Periodic Recurrent Orbit July 1999 Xin -

The chaotic properties of some subshift maps are investigated. These subshifts are the orbit closures of certain non-periodic recurrent points of a shift map. We first provide a review of basic concepts for dynamics of continuous maps in metric spaces. These concepts include nonwandering point, recurrent point, eventually periodic point, scrambled set, sensitive dependence on initial conditions...

ar X iv : c ha o - dy n / 99 03 01 4 v 1 9 M ar 1 99 9 Transport in finite size systems : an exit time approach

In the framework of chaotic scattering we analyze passive tracer transport in finite systems. In particular, we study models with open streamlines and a finite number of recirculation zones. In the non trivial case with a small number of recirculation zones a description by mean of asymptotic quantities (such as the eddy diffusivity) is not appropriate. The non asymptotic properties of dispersi...

ar X iv : c ha o - dy n / 99 10 00 5 v 1 6 O ct 1 99 9 The Finite - Difference Analysis and Time Flow

ha o - dy n / 99 10 01 8 v 2 3 1 A ug 2 00 0 Response Function of an Irregular Oscillator

Properties of the response functions for a two-dimensional quartic oscillator are studied based on the diagonalization of the Hamiltonian in a large model space. In particular, response functions corresponding to a given momentum transfer are studied for different values of the coupling parameter in the Hamiltonian. The latter controls regular or chaotic nature of the spectra and eigenstates of...