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One of the major discoveries of the 20th century mathematics is
the possibility of random behavior of deterministic systems. There is
a hierarchy of chaotic properties for a dynamical systems but on...
ON MIXING PROPERTIES OF COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
GROUP EXTENSIONS HYPERBOLIC SYSTEMS
2015/9/29
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with
accessibility properties of their stable and unstable laminations.
We show that g...
We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame
ows on negatively curved manifolds and mostly contracting di eomorphisms.
If the rate of mixing ...
ON DIFFERENTIABILITY OF SRB STATES FOR PARTIALLY HYPERBOLIC SYSTEMS
DIFFERENTIABILITY HYPERBOLIC SYSTEMS
2015/9/29
Consider a one parameter family of diffeomorphisms
fε such that f0 is an Anosov element in a standard abelian Anosov
action having sufficiently strong mixing properties. Let νε be any
u-...
LIVSIC^ THEORY FOR COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
theory of tight group of hyperbolic system dynamics
2015/9/29
Recently several new phenomena in dynamics were discovered by
looking at small perturbations of compact group extensions of hypebolic systems [8, 14]. In view of this it is desirable to develop a gen...
One side invertibility for implicit hyperbolic systems with delays
Left invertibility implicit systems system with delays
2010/11/29
This paper deals with left invertibility problem of implicit hyperbolic systems with delays in infinite dimensional Hilbert spaces. From a decomposition procedure, invertibility for this class of syst...
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
Runge-Kutta methods hyperbolic systems with relaxation stiff systems
2010/12/6
We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stability-preserving (SSP...
Here a new kind of nonlinear wave, which is called $\delta-$wave, is
described by some high resolution difference solutions for Riemann
problems of one-dimensional
\linebreak
(1-D) and two-dimensi...