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Author: Wen Xiang Sun
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
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Author: Wen Xiang Sun
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
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Author: Igor Mezić
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 438
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Author: Jiu Ding
Publisher: Springer Science & Business Media
ISBN: 3540853677
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
Author: Chris E. H. Lutsko
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: I͡Akov Grigorʹevich Sinaĭ
Publisher: American Mathematical Soc.
ISBN: 9780821841020
Category : Mathematics
Languages : en
Pages : 266
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Dynamical systems and statistical mechanics have been developing in close interaction during the past decade, and the papers in this book attest to the productiveness of this interaction. The first paper in the collection contains a new result in the theory of quantum chaos, a burgeoning line of inquiry which combines mathematics and physics and which is likely in time to produce many new connections and applications. Another paper, related to the renormalization group method for the study of maps of the circle with singularities due to a jump in the derivative, demonstrates that the fixed point of the renormgroup can in this case be sufficiently described. In certain situations, the renormgroup methods work better than the traditional KAM method. Other topics covered include: thermodynamic formalism for certain infinite-dimensional dynamical systems, numerical simulation of dynamical systems with hyperbolic behaviour, periodic points of holomorphic maps, the theory of random media, statistical properties of the leading eigenvalue in matrix ensembles of large dimension, spectral properties of the one-dimensional Schrodinger operator. This volume will appeal to many readers, as it covers a broad range of topics and presents a view of some of the frontier research in the Soviet Union today.
Author: P. E. Kloeden
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
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Author: James Cavanaugh
Publisher:
ISBN: 9781977833358
Category :
Languages : en
Pages : 240
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Book Description
Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.
Author: Barinder Singh Matharu
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 23
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Author: Chinmaya Gupta
Publisher:
ISBN:
Category : Chaotic behavior in systems
Languages : en
Pages : 220
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