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Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Admissibility and Hyperbolicity ([EBook]) / by Luís Barreira, Davor Dragičević, Claudia Valls.
Author	Barreira, Luis
Added Personal Name	Dragičević, Davor author.
Added Personal Name	Valls, Claudia author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details	IX, 145 p. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9783319901107
Summary Note	This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part. .:
Contents note	1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-90110-7
Links to Related Works	Subject References: Difference and Functional Equations . Difference equations . Differential Equations . Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Functional equations . Mathematics . Ordinary differential equations . Authors: Barreira, Luis . Dragičević, Davor . Valls, Claudia . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.39 . 515.48 .

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Admissibility and Hyperbolicity

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