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Titlebook: Linear Chaos; Karl-G. Grosse-Erdmann,Alfred Peris Manguillot Textbook 2011 Springer-Verlag London Limited 2011 Chaos.Dynamical systems.Hyp

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發(fā)表于 2025-3-21 19:44:47 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Linear Chaos
編輯Karl-G. Grosse-Erdmann,Alfred Peris Manguillot
視頻videohttp://file.papertrans.cn/587/586296/586296.mp4
概述More than 350 exercises and a self-contained exposition makes the book suitable for both classroom use and self-study.Presents simplified proofs, as well as improvements, of known results.An exhaustiv
叢書名稱Universitext
圖書封面Titlebook: Linear Chaos;  Karl-G. Grosse-Erdmann,Alfred Peris Manguillot Textbook 2011 Springer-Verlag London Limited 2011 Chaos.Dynamical systems.Hyp
描述It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dynamics lies at the crossroads of several areas of mathematics including operator theory, complex analysis, ergodic theory and partial differential equations. At the same time its basic ideas can be easily understood by a wide audience.Written by two renowned specialists, Linear Chaos provides a welcome introduction to this theory. Split into two parts, part I presents a self-contained introduction to the dynamics of linear operators, while part II covers selected, largely independent topics from linear dynamics.More than 350 exercises and many illustrations are included, and each chapter contains a further ‘Sources and Comments’ section.The only prerequisites are a familiarity with metric spaces, the basic theory of Hilbert and Banach spaces and fundamentals of complex analysis. More advanced tools, only needed occasionally, are provided in two appendices. A self-contained exposition, th
出版日期Textbook 2011
關(guān)鍵詞Chaos; Dynamical systems; Hypercyclicity; Linear Operators
版次1
doihttps://doi.org/10.1007/978-1-4471-2170-1
isbn_softcover978-1-4471-2169-5
isbn_ebook978-1-4471-2170-1Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London Limited 2011
The information of publication is updating

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Dynamics of semigroups, with applications to differential equationst parts, hypercyclic and chaotic semigroups have important applications to partial differential equations and to infinite linear systems of ordinary differential equations. Representative examples are discussed.
地板
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Linear dynamics in topological vector spaces introduction to such spaces we revisit many of the results previously obtained in the book and show that they hold in great generality. We also derive dynamical transference principles which allow us to transfer the dynamical properties of operators on F-spaces to operators on general topological vector spaces.
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https://doi.org/10.1007/978-1-4471-2170-1Chaos; Dynamical systems; Hypercyclicity; Linear Operators
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The Hypercyclicity CriterionThis chapter presents several criteria for hypercyclicity, weak mixing, mixing and chaos, in increasing order of sophistication. It culminates in the Hypercyclicity Criterion, which is discussed in detail. We prove, among other things, that the Hypercyclicity Criterion characterizes the weak mixing property.
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發(fā)表于 2025-3-22 19:08:41 | 只看該作者
Karl-G. Grosse-Erdmann,Alfred Peris ManguillotMore than 350 exercises and a self-contained exposition makes the book suitable for both classroom use and self-study.Presents simplified proofs, as well as improvements, of known results.An exhaustiv
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Universitexthttp://image.papertrans.cn/l/image/586296.jpg
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