Nonlinear Systems And Their Remarkable Mathematical Structures Volume Ii

Author : Norbert Euler,Maria Clara Nucci
Publisher : CRC Press
Page : 541 pages
File Size : 48,5 Mb
Release : 2019-12-06
Category : Mathematics
ISBN : 9780429554308

Get Book

Nonlinear Systems and Their Remarkable Mathematical Structures by Norbert Euler,Maria Clara Nucci Pdf

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Author : Norbert Euler,Maria Clara Nucci
Publisher : CRC Press
Page : 540 pages
File Size : 47,9 Mb
Release : 2019-11-19
Category : Differential equations, Nonlinear
ISBN : 0367208474

Get Book

Nonlinear Systems and Their Remarkable Mathematical Structures Volume II by Norbert Euler,Maria Clara Nucci Pdf

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Author : Norbert Euler,Da-jun Zhang
Publisher : CRC Press
Page : 367 pages
File Size : 51,9 Mb
Release : 2021-09-07
Category : Mathematics
ISBN : 9781000423303

Get Book

Nonlinear Systems and Their Remarkable Mathematical Structures by Norbert Euler,Da-jun Zhang Pdf

The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China just like the first two volumes, consists of contributions by world-leading experts in the subject of nonlinear systems, but in this instance only featuring contributions by leading Chinese scientists who also work in China (in some cases in collaboration with western scientists). Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained

Author : Taylor & Francis Group
Publisher : CRC Press
Page : 582 pages
File Size : 52,5 Mb
Release : 2020-12-18
Category : Electronic
ISBN : 0367732432

Get Book

Nonlinear Systems and Their Remarkable Mathematical Structures by Taylor & Francis Group Pdf

Nonlinear Systems and Their Remarkable Mathematical Structures aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. The book should be suitable for some graduate and postgraduate students in mathematics, the natural sciences, and engineering sciences, as well as for researchers (both pure and applied) interested in nonlinear systems. The common theme throughout the book is on solvable and integrable nonlinear systems of equations and methods/theories that can be applied to analyze those systems. Some applications are also discussed. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-expert in this field Written to be accessible to some graduate and postgraduate students in mathematics and applied mathematics Serves as a literature source in nonlinear systems

Author : Taylor & Francis Group
Publisher : Unknown
Page : 128 pages
File Size : 44,9 Mb
Release : 2021-09-30
Category : Electronic
ISBN : 0367208547

Get Book

Nonlinear Systems and Their Remarkable Mathematical Structures Volumes 1 2 And 3 by Taylor & Francis Group Pdf

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447105497

Get Book

Nonlinear Control Systems II by Alberto Isidori Pdf

This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

Author : Albert C. J. Luo
Publisher : Springer Nature
Page : 453 pages
File Size : 53,9 Mb
Release : 2022-03-29
Category : Mathematics
ISBN : 9789811678691

Get Book

Two-Dimensional Quadratic Nonlinear Systems by Albert C. J. Luo Pdf

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Author : Albert C. J. Luo
Publisher : Springer Nature
Page : 692 pages
File Size : 53,6 Mb
Release : 2023-04-19
Category : Mathematics
ISBN : 9789811678738

Get Book

Two-Dimensional Quadratic Nonlinear Systems by Albert C. J. Luo Pdf

This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert’s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.

Author : Decio Levi,Pavel Winternitz,Ravil I. Yamilov
Publisher : American Mathematical Society, Centre de Recherches Mathématiques
Page : 520 pages
File Size : 44,5 Mb
Release : 2023-01-23
Category : Mathematics
ISBN : 9780821843543

Get Book

Continuous Symmetries and Integrability of Discrete Equations by Decio Levi,Pavel Winternitz,Ravil I. Yamilov Pdf

This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries. The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3. This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.

Author : Anonim
Publisher : BoD – Books on Demand
Page : 264 pages
File Size : 55,9 Mb
Release : 2018-07-18
Category : Mathematics
ISBN : 9781789234046

Get Book

Nonlinear Systems by Anonim Pdf

This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.

Author : Dongbin Lee,Christos Volos,Timothy Burg
Publisher : BoD – Books on Demand
Page : 366 pages
File Size : 45,9 Mb
Release : 2016-10-19
Category : Mathematics
ISBN : 9789535127147

Get Book

Nonlinear Systems by Dongbin Lee,Christos Volos,Timothy Burg Pdf

The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.

Author : V. Lakshmikantham,S. Leela,Anatoliĭ Andreevich Martyni︠u︡k
Publisher : CRC Press
Page : 344 pages
File Size : 42,7 Mb
Release : 1988-11-29
Category : Mathematics
ISBN : 0824780671

Get Book

Stability Analysis of Nonlinear Systems by V. Lakshmikantham,S. Leela,Anatoliĭ Andreevich Martyni︠u︡k Pdf

Investigates stability theory in terms of two different measures, treats the theory of a variety of inequalities, and demonstrates manifestations of the general Lyapunov method. Also covers the importance of utilizing different forms of nonlinear variation of parametric formulae, constructive method

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 41,5 Mb
Release : 1995-08-11
Category : Technology & Engineering
ISBN : 3540199160

Get Book

Nonlinear Control Systems by Alberto Isidori Pdf

The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.

Author : Anonim
Publisher : BoD – Books on Demand
Page : 288 pages
File Size : 44,6 Mb
Release : 2020-05-13
Category : Mathematics
ISBN : 9781789854718

Get Book

Nonlinear Systems by Anonim Pdf

The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.

Author : Shankar Sastry
Publisher : Springer Science & Business Media
Page : 690 pages
File Size : 48,5 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781475731088

Get Book

Nonlinear Systems by Shankar Sastry Pdf

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.