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On tensor products of weak mixing vector sequences and their applications to C*-dynamical systems
Uniform weak mixing weak mixing ergodicity
2010/11/29
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...
K-Theoretic Duality for Hyperbolic Dynamical Systems
K-Theoretic Duality Hyperbolic Dynamical Systems
2010/12/13
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces.This had previously been proved only ...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/16
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
Multicanonical Sampling of Rare Trajectories in Chaotic Dynamical Systems
Rare Trajectories Chaotic Dynamical Systems
2010/4/2
In chaotic dynamical systems, a number of rare trajectories with low level of chaoticity are embedded in chaotic sea, while extraordinary unstable trajectories can exist even in weakly chaotic regions...
We introduce one dimensional sets to help describe and constrain the integral curves of an $n$ dimensional dynamical system. These curves provide more information about the system than the zero-dimens...
About the oscillatory possibilities of the dynamical systems
dynamical systems evolutionary emergence
2010/4/7
This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. It contain...
Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors
Numerical detection unstable periodic orbits continuous-time dynamical systems chaotic behaviors
2009/11/3
An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chao...
Compensation problem in finite dimension linear dynamical systems
Dynamical systems remediability observation control
2010/9/14
In this work, we consider a class of finite dimension disturbed dynamical systems. We study with respect to the observation, the possibility of finite time or asymptotic compensation of known or unkno...
STRUCTURE OF TRAJECTORIES OF DISCRETE DISPERSIVE DYNAMICAL SYSTEMS
Compact metric space set-valued mapping trajectory
2008/11/28
In this paper we study global attractors of discrete dispersive dynamical systems generated
by set-valued mappings and the structure of trajectories of these dynamical
systems.
CONVERGENCE OF TRAJECTORIES OF DISCRETE DISPERSIVE DYNAMICAL SYSTEMS
Compact metric space set-valued mapping trajectory global attractor
2008/11/26
In this paper we study the structure of trajectories of discrete dispersive dynamical
systems generated by set-valued mappings to their global attractors.
Physics of the 9-Month Variability in the Gulf Stream Region: Combining Data and Dynamical Systems Analyses
Physics Gulf Stream Region Combining Data Dynamical Systems Analyses
2008/7/2
Using nonseasonal altimeter data and SST observations of the North Atlantic, and more specifically the Gulf Stream region, dominant patterns of variability are determined using multivariate time serie...
Physics of the 9-Month Variability in the Gulf Stream Region: Combining Data and Dynamical Systems Analyses
Physics Gulf Stream Region Combining Data Dynamical Systems Analyses
2008/7/2
Using nonseasonal altimeter data and SST observations of the North Atlantic, and more specifically the Gulf Stream region, dominant patterns of variability are determined using multivariate time serie...
Monotone Trajectories of Dynamical Systems and Clarke's Generalized Jacobian
Dynamical Systems Monotone Trajectories Generalized Jacobian Variational Inequalities
2008/6/30
We generalize some results due to Pappalardo and Passacantando [10]. We prove necessary and sufficient conditions for the monotonicity of a trajectory of an autonomous dynamical system with locally Li...
FRW barotropic zero modes: Dynamical systems observability
supersymmetry FRW barotropic cosmology
2010/9/15
The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently develop...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...