Free Download Tensor-Based Dynamical Systems: Theory and Applications
English | 2024 | ISBN: 3031545044 | 121 Pages | PDF EPUB (True) | 13 MB
This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems.

Free Download Renato Feres, "Dynamical Systems and Semisimple Groups: An Introduction "
English | ISBN: 0521142164 | 2010 | 264 pages | PDF | 4 MB
Here is an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the current literature on the ergodic theory of measure preserving actions of semisimple Lie groups for students who have taken the standard first year graduate courses in mathematics. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts normally covered in first courses on manifolds and Lie groups plus topics such as integration of infinitesimal actions of Lie groups. He then derives the basic structure theorems for the real semisimple Lie groups, such as the Cartan and Iwasawa decompositions and gives an extensive exposition of the general facts and concepts from topological dynamics and ergodic theory, including detailed proofs of the multiplicative ergodic theorem and Moore's ergodicity theorem. This book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

Free Download Dynamical Systems and Differential Geometry via MAPLE
English | 2021 | ISBN: 1527572234 | 255 Pages | PDF (True) | 2 MB
The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.

Free Download Difference Equations, Discrete Dynamical Systems and Applications
English | 2024 | ISBN: 3031510488 | 434 Pages | PDF EPUB (True) | 56 MB
This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 18-22, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.

Chen C Tensor-Based Dynamical Systems Theory and Applications 2024 | 3.61 MB
N/A | 115 Pages

Title: Tensor-Based Dynamical Systems
Author: Can Chen
Year: N/A

Free Download Shlomo Sternberg, "Dynamical Systems "
English | ISBN: 0486477053 | 2010 | 272 pages | EPUB | 11 MB
Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises.

Free Download Dynamical Systems with Applications using MAPLE by Stephen Lynch
English | PDF | 2001 | 400 Pages | ISBN : 0817641505 | 27.9 MB
This book provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. lt is written for both senior un dergraduates and first-year graduale students. The firsthalf of the book deals with continuous systems using ordinary differential equations (Chapters 1-12) and the second half is devoted to the study of discrete dynamical systems (Chapters 13-20). (The author has gone for breadth of coverage rather than fine detail and theorems with proof are kept at a minimum.) The material is not clouded by functional analytic and group theoretical definitions, and so is intelligible to readers with a general mathematical background. Some of the topics covered are scarcely cov ered elsewhere. Most of the material in Chapters 9-12, 16, 17, 19, and 20 is at postgraduale Ievel and has been influenced by the author's own research interests. It has been found that these chapters are especially useful as reference material for senior undergraduate project work. The book has a very hands-on approach and takes the reader from the basic theory right through to recently published research material.

Free Download Dynamical Contact Problems with Friction: Models, Methods, Experiments and Applications by Walter Sextro
English | PDF | 2007 | 191 Pages | ISBN : 3540695354 | 6.3 MB
The aim of this book is to describe an efficient procedure to model dynamical contact problems with friction. This procedure is applied to different practical problems and verified by experiments.

Free Download An Introduction to Dynamical Systems and Chaos, Second Edition by G. C. Layek
English | PDF EPUB (True) | 2024 | 701 Pages | ISBN : 9819976944 | 102.1 MB
This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos and multistable coexisting attractors. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, featuring a multitude of detailed worked-out examples alongside comprehensive exercises. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate, graduate and research students in mathematics, physics and engineering.

Borkar V Stochastic Approximation A Dynamical Systems Viewpoint 2ed 2024 | 6.59 MB
N/A | 280 Pages

Title: Stochastic Approximation: A Dynamical Systems Viewpoint
Author: Vivek S. Borkar
Year: N/A