Results 131 to 140 of about 518,180 (174)
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Spectral Theory of Dynamical Systems
1987In this chapter, we deal with dynamical systems to which we apply the foregoing results. In particular, we give a spectral characterization of the differentmixing properties (weak, mild, strong). All the results are well-known, and we omit the classical proofs for which we refer to [61,93,111,139,145,151,193,197,200,241] or others.
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The Theory of Dynamical Systems
1990Our aim in this chapter is to expound those aspects of the theory of dynamical systems which shall be most relevant to our later investigations. Our approach will be discursive in that we shall try to paint a broad brush picture of the concepts and techniques of the modern qualitative geometric view of the theory of dynamical systems.
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The Theory of Dynamical Systems
2003We shall begin by presenting a brief review of the qualitative theory of ODE [169, 181, 182, 373] , with particular emphasis on those aspects of the non-linear theory of importance in cosmology.
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Dynamical Systems and Ergodic Theory [PDF]
, 1998 This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience.
Michiko Yuri, Mark Pollicott
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Paradigms and puzzles in the theory of dynamical systems
IEEE Transactions on Automatic Control, 1991Summary: We outline the main features of a framework for a theory of dynamical systems. The basic ingredients form a triptych, with the behavior of a system in the center, and behavioral equations and latent variables as side panels. We discuss a variety of representation and parametrization problems, in particular, questions related to input/output ...
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Dynamical Systems Theory of Irreversibility
2005Recent work on the connections between dynamical systems theory and nonequilibrium statistical mechanics is reviewed with emphasis on results which are compatible with Liouville’s theorem. Starting from a general discussion of time-reversal symmetry in the Newtonian scheme, it is shown that the Liouvillian eigenstates associated with the Pollicott ...
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Dynamical Systems in Number Theory
1982Many problems in number theory may be stated as problems relating to the uniform distribution of certain numerical sequences. Recall that the sequence x1, x2,...., 0 ≤ x n ≤ 1, is uniformly distributed on the closed interval [0, 1], if for any function f ∈ C([0, 1]) we have the relation $$ \mathop{{\lim }}\limits_{{n \to \infty }} \frac{1}{n}\sum ...
I. P. Cornfeld +2 more
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Dynamical Systems in Probability Theory
1982Suppose M is the set of all sequences, infinite in both directions x = (..., y-1, y0, y1,...), whose coordinates y i are points of a fixed measurable space (Y, 𝔄). M possesses a natural σ-algebra 𝔖 generated by cylindrical sets, i.e., sets of the form $$ A = \{ x = (...,{y_{{ - 1}}},{y_{0}},{y_{1}},...) \in M:{y_{{{i_{1}}}}} \in {C_{1}},...,{y_ ...
Yakov G. Sinai +2 more
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Dynamic Systems Control Theory. [PDF]
, 1977 Abstract : The areas of research cover a diverse spectrum for deterministic and stochastic differential games through identification and filtering all the way to system synthesis. For further information on details refer to the final report. (Author)
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