Local Bifurcations Center Manifolds And Normal Forms in Infinitedimensional Dynamical Systems

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems

Mariana Haragus, "Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems "
English | ISBN: 0857291114 | 2011 | 344 pages | PDF | 3 MB

Averaging Methods in Nonlinear Dynamical Systems (Repost)  eBooks & eLearning

Posted by AvaxGenius at June 20, 2022
Averaging Methods in Nonlinear Dynamical Systems (Repost)

Averaging Methods in Nonlinear Dynamical Systems by Jan A. Sanders
English | PDF | 2007 | 446 Pages | ISBN : 0387489169 | 3.7 MB

Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.

Regularity and Complexity in Dynamical Systems  eBooks & eLearning

Posted by AvaxGenius at Nov. 24, 2021
Regularity and Complexity in Dynamical Systems

Regularity and Complexity in Dynamical Systems by Albert C. J. Luo
English | PDF(True) | 2012 | 502 Pages | ISBN : 1461415233 | 18.9 MB

Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive,discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually,the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Braids and Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)  eBooks & eLearning

Posted by Free butterfly at Jan. 24, 2024
Braids and Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials)

Braids and Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials) by Jean-Luc Thiffeault
English | September 6, 2022 | ISBN: 3031047893 | 160 pages | MOBI | 15 Mb

Infinite-dimensional Dynamical Systems: Attractor and Methods  eBooks & eLearning

Posted by Underaglassmoon at Dec. 24, 2019
Infinite-dimensional Dynamical Systems: Attractor and Methods

Infinite-dimensional Dynamical Systems: Attractor and Methods
De Gruyter | English | 2018 | ISBN-10: 3110586991 | 414 pages | PDF | 3.78 MB

by Boling Guo (Author)
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems.

Dynamical Systems on 2- and 3-Manifolds  eBooks & eLearning

Posted by AvaxGenius at May 7, 2020
Dynamical Systems on 2- and 3-Manifolds

Dynamical Systems on 2- and 3-Manifolds by Viacheslav Z. Grines
English | EPUB | 2016 | 314 Pages | ISBN : 3319448463 | 8.72 MB

This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A.

Bifurcation and Stability in Nonlinear Discrete Systems  eBooks & eLearning

Posted by roxul at Aug. 13, 2020
Bifurcation and Stability in Nonlinear Discrete Systems

Albert C. J. Luo, "Bifurcation and Stability in Nonlinear Discrete Systems "
English | ISBN: 9811552118 | 2020 | 323 pages | EPUB, PDF | 43 MB + 5 MB

Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems  eBooks & eLearning

Posted by AvaxGenius at Sept. 21, 2024
Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems

Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems by Gowrisankar Arulprakash, Kishore Bingi, Cristina Serpa
English | PDF EPUB (True) | 2024 | 224 Pages | ISBN : 9819723426 | 34.3 MB

This book offers a wide range of interesting correlations beyond the domains of dynamical systems, complex systems, and fractal geometry. Exploring complex systems and their properties using the fractal approaches, this book provides initial solutions for new areas where fractal theory has yet to verify its

Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems  eBooks & eLearning

Posted by AvaxGenius at Sept. 21, 2024
Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems

Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems by Gowrisankar Arulprakash, Kishore Bingi, Cristina Serpa
English | PDF EPUB (True) | 2024 | 224 Pages | ISBN : 9819723426 | 34.3 MB

This book offers a wide range of interesting correlations beyond the domains of dynamical systems, complex systems, and fractal geometry. Exploring complex systems and their properties using the fractal approaches, this book provides initial solutions for new areas where fractal theory has yet to verify its

Optimization of Dynamical Systems with Impulse Controls and Shocks  eBooks & eLearning

Posted by AvaxGenius at Sept. 20, 2024
Optimization of Dynamical Systems with Impulse Controls and Shocks

Optimization of Dynamical Systems with Impulse Controls and Shocks by Boris Miller , Evgeny Rubinovich
English | PDF EPUB (True) | 2024 | 632 Pages | ISBN : 303164123X | 67.6 MB

This text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional approach defines the impulsive action as a discontinuity of phase coordinates depending on the current time, the state preceding the action, and its magnitude. The second requires the use of modern methods for describing dynamical systems - differential equations with measures. The impulse is treated as an idealization of a very short action of high magnitude, which produces an almost abrupt change of phase coordinates. The relation between these two approaches is also discussed, and several applications, both traditional and emerging, are considered.