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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...
Martingale Central Limit Theorem and Nonuniformly Hyperbolic Systems
hyperbolic systems nonuniformly
2014/12/8
In this thesis we study the central limit theorem (CLT) for nonuniformly hy- perbolic dynamical systems. We examine cases in which polynomial decay of cor- relations leads to a CLT with a non-standard...
Symmetric hyperbolic systems in algebras of generalized functions and distributional limits
Symmetric hyperbolic systems distributional limits Analysis of PDEs
2011/7/29
Abstract: We study existence, uniqueness, and distributional aspects of generalized solutions to the Cauchy problem for first-order symmetric (or Hermitian) hyperbolic systems of partial differential ...
Late-time relaxation limits of nonlinear hyperbolic systems. A general framework
nonlinear hyperbolic systems A general framework
2010/11/1
We investigate the late-time asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws containing stiff source term. On one hand, we determine the relevant asymptotic expa...
One side invertibility for implicit hyperbolic systems with delays
Left invertibility implicit systems system with delays
2010/9/1
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
2010/5/6
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...
Asymptotic analysis, approximations and simulations of the compensation problem in hyperbolic systems
Hyperbolic systems remediability controllability
2009/12/30
This work concern an extension of the asymptotic compensation problem in hyperbolic systems. We introduce and characterize the notion of asymptotic remediability, which consists to compensate asymptot...
Lifespan of Classical Solutions to Quasi-linear Hyperbolic Systems with Small BV Normal Initial Data
Quasi-linear hyperbolic system Weakly linear degeneracy Matching condition Normalized Coordinates Blow-up Lifespan.
2008/10/21
In this paper, we first give a lower bound of the lifespan and some estimates of classical solutions to the Cauchy problem for general quasi-linear hyperbolic systems, whose characteristic fields are ...
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...
专著信息
书名
Two interface type methods for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,Xin Wen
第一作者单位
出版社
SIAM J. Scientific Computing 26, 2079-...
专著信息
书名
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Mathematics 22, 230-249, 2004...