Nonlinear Differential Equations And Dynamical Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonlinear Differential Equations And Dynamical Systems PDF full book. Access full book title Nonlinear Differential Equations And Dynamical Systems.
| Author | : Ferdinand Verhulst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642971490 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.
| Author | : Ferdinand Verhulst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 324 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642614531 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.
| Author | : Ferdinand Verhulst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 324 |
| Release | : 2006-02-20 |
| Genre | : Mathematics |
| ISBN | : 9783540609346 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.
| Author | : Lawrence Perko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1468402498 |
Download Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.
| Author | : Feliz Manuel Minhós |
| Publisher | : MDPI |
| Total Pages | : 158 |
| Release | : 2021-04-15 |
| Genre | : Mathematics |
| ISBN | : 3036507108 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
| Author | : LUIS MANUEL. BRAGA DA COSTA CAMPOS |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2024-06-25 |
| Genre | : |
| ISBN | : 9781032653723 |
Download Non-Linear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
This the second book of Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set, in the Mathematics and Physics for Science and Technology series. This book considers general first-order differential equations, including non-linear and with variable coefficients.
| Author | : James D. Meiss |
| Publisher | : SIAM |
| Total Pages | : 392 |
| Release | : 2017-01-24 |
| Genre | : Mathematics |
| ISBN | : 161197464X |
Download Differential Dynamical Systems, Revised Edition Book in PDF, ePub and Kindle
Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.
| Author | : Guido Schneider |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 575 |
| Release | : 2017-10-26 |
| Genre | : Differential equations, Nonlinear |
| ISBN | : 1470436132 |
Download Nonlinear PDEs: A Dynamical Systems Approach Book in PDF, ePub and Kindle
This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.
| Author | : Morris W. Hirsch |
| Publisher | : Academic Press |
| Total Pages | : 433 |
| Release | : 2004 |
| Genre | : Business & Economics |
| ISBN | : 0123497035 |
Download Differential Equations, Dynamical Systems, and an Introduction to Chaos Book in PDF, ePub and Kindle
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
| Author | : Stephen L. Campbell |
| Publisher | : Princeton University Press |
| Total Pages | : 445 |
| Release | : 2011-10-14 |
| Genre | : Mathematics |
| ISBN | : 1400841321 |
Download Introduction to Differential Equations with Dynamical Systems Book in PDF, ePub and Kindle
Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
