differential equations and dynamical systems texts in applied mathematics

Download Book Differential Equations And Dynamical Systems Texts In Applied Mathematics in PDF format. You can Read Online Differential Equations And Dynamical Systems Texts In Applied Mathematics here in PDF, EPUB, Mobi or Docx formats.

Differential Equations And Dynamical Systems

Author : Lawrence Perko
ISBN : 9781461300038
Genre : Mathematics
File Size : 56. 27 MB
Format : PDF, ePub, Docs
Download : 681
Read : 1095

Download Now


This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

Differential Equations

Author : John Hamal Hubbard
ISBN : LCCN:90009649
Genre : Differential equations
File Size : 29. 55 MB
Format : PDF, Kindle
Download : 483
Read : 541

Download Now



Ordinary Differential Equations And Dynamical Systems

Author : Gerald Teschl
ISBN : 9780821883280
Genre : Mathematics
File Size : 30. 88 MB
Format : PDF, ePub, Docs
Download : 756
Read : 897

Download Now


This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

Differential Equations A Dynamical Systems Approach

Author : John H. Hubbard
ISBN : 0387972862
Genre : Mathematics
File Size : 62. 83 MB
Format : PDF, ePub, Docs
Download : 610
Read : 434

Download Now


This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Ordinary Differential Equations With Applications

Author : Carmen Chicone
ISBN : 9780387307695
Genre : Mathematics
File Size : 84. 62 MB
Format : PDF
Download : 251
Read : 354

Download Now


Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Stability Instability And Chaos

Author : Paul Glendinning
ISBN : 0521425662
Genre : Mathematics
File Size : 68. 16 MB
Format : PDF, ePub
Download : 534
Read : 999

Download Now


An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.

Nonlinear Differential Equations And Dynamical Systems

Author : Ferdinand Verhulst
ISBN : 9783642614538
Genre : Mathematics
File Size : 90. 12 MB
Format : PDF, Mobi
Download : 695
Read : 319

Download Now


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.

Differential Equations

Author : John H. Hubbard
ISBN : UOM:39015019403834
Genre : Differential equations
File Size : 79. 29 MB
Format : PDF, Docs
Download : 114
Read : 153

Download Now



Principles Of Differential Equations

Author : Nelson G. Markley
ISBN : 9781118031537
Genre : Mathematics
File Size : 40. 58 MB
Format : PDF, ePub, Docs
Download : 907
Read : 1281

Download Now


An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

Ordinary Differential Equations

Author : Luis Barreira
ISBN : 9780821887493
Genre : Mathematics
File Size : 60. 39 MB
Format : PDF, Mobi
Download : 761
Read : 810

Download Now


This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.

Top Download:

Best Books