Lifting Properties in Skew-Product Flows with Applications to Differential Equations PDF Download
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Author: Robert J. Sacker
Publisher: American Mathematical Soc.
ISBN: 0821821903
Category : Differential equations
Languages : en
Pages : 75
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Book Description
In this paper we wish to study the lifting properties of skew-product flows. These properties are particularly important in the study of non-autonomous ordinary and functional differential equations. For example, the question of the existence of a periodic solution for a differential equation with periodic coefficients is the same as asking whether the periodic structure of the coefficient space can be lifted to a periodic structure in the solution space.
Author: Robert J. Sacker
Publisher: American Mathematical Soc.
ISBN: 0821821903
Category : Differential equations
Languages : en
Pages : 75
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Book Description
In this paper we wish to study the lifting properties of skew-product flows. These properties are particularly important in the study of non-autonomous ordinary and functional differential equations. For example, the question of the existence of a periodic solution for a differential equation with periodic coefficients is the same as asking whether the periodic structure of the coefficient space can be lifted to a periodic structure in the solution space.
Author: Robert Ellis
Publisher: American Mathematical Soc.
ISBN: 0821806084
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: 1) The abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenberg and Glasner on the work and influence of R. Ellis. Presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition. 2) The power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others. 3) Applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.
Author: David N. Cheban
Publisher: Springer Nature
ISBN: 3031600576
Category :
Languages : en
Pages : 475
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Book Description
Author: Flaviano Battelli
Publisher: Elsevier
ISBN: 0080559468
Category : Mathematics
Languages : en
Pages : 719
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Book Description
This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields
Author: Anthony A Iarrobino
Publisher:
ISBN: 9780821821886
Category : Concordances (Topology)
Languages : en
Pages : 93
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Book Description
Author: Sandra Pinelas
Publisher: Springer Nature
ISBN: 3030563235
Category : Mathematics
Languages : en
Pages : 754
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Book Description
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.
Author: Stephen Wiggins
Publisher: Springer Science & Business Media
ISBN: 0387217495
Category : Mathematics
Languages : en
Pages : 860
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Book Description
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
Author: S. Friedlander
Publisher: Elsevier
ISBN: 0080478301
Category : Science
Languages : en
Pages : 725
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Book Description
This is the fourth volume in a series of survey articles covering many aspects of mathematical fluid dynamics, a vital source of open mathematical problems and exciting physics.
Author: Saber Elaydi
Publisher: American Mathematical Soc.
ISBN: 0821833545
Category : Mathematics
Languages : en
Pages : 450
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Book Description
Contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. This book includes articles that cover stability, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, and difference-differential equations.
Author: F. V. Atkinson
Publisher: American Mathematical Soc.
ISBN: 9780821860137
Category : Mathematics
Languages : en
Pages : 732
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Book Description
The year 1986 marked the sesquicentennial of the publication in 1836 of J Sturm's memoir on boundary value problems for second order equations. In July 1986, the Canadian Mathematical Society sponsored the International Conference on Oscillation, Bifurcation and Chaos. This volume contains the proceedings of this conference.
