Periodic Solutions Associated With Singular Perturbations Of A System Of Non Linear Differential Equations
Download Periodic Solutions Associated With Singular Perturbations Of A System Of Non Linear Differential Equations full books in PDF, epub, and Kindle. Read online free Periodic Solutions Associated With Singular Perturbations Of A System Of Non Linear Differential Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Leopold Flatto |
Publisher | : |
Total Pages | : 74 |
Release | : 1955 |
Genre | : |
ISBN | : |
Download Periodic Solutions Associated with Singular Perturbations of a System of Non-linear Differential Equations Book in PDF, Epub and Kindle
Author | : G. Sansone |
Publisher | : Elsevier |
Total Pages | : 553 |
Release | : 2016-06-06 |
Genre | : Mathematics |
ISBN | : 1483135969 |
Download Non-Linear Differential Equations Book in PDF, Epub and Kindle
International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Author | : Dominic Jordan |
Publisher | : OUP Oxford |
Total Pages | : 540 |
Release | : 2007-08-24 |
Genre | : Mathematics |
ISBN | : 0191525995 |
Download Nonlinear Ordinary Differential Equations Book in PDF, Epub and Kindle
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Author | : Jane Cronin |
Publisher | : American Mathematical Soc. |
Total Pages | : 201 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821809296 |
Download Analyzing Multiscale Phenomena Using Singular Perturbation Methods Book in PDF, Epub and Kindle
To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.
Author | : Ferdinand Verhulst |
Publisher | : Springer Science & Business Media |
Total Pages | : 332 |
Release | : 2006-06-04 |
Genre | : Mathematics |
ISBN | : 0387283137 |
Download Methods and Applications of Singular Perturbations Book in PDF, Epub and Kindle
Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Author | : Gamal Ismail |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 136 |
Release | : 2012-08 |
Genre | : |
ISBN | : 9783659212055 |
Download Periodic Solutions of a Certain Non-Linear Differential Equations Book in PDF, Epub and Kindle
The study of nonlinear oscillators equations is of great importance not only in all areas of physics but also in engineering and other disciplines, since most phenomena in our word are nonlinear and are described by nonlinear equations. Recently, considerable attention has been direct towards the analytical solutions for nonlinear oscillators, for example, elliptic homotopy averaging method, amplitude-frequency formulation, homotopy perturbation method, parameter-expanding method, energy balance method, and others. The aim of this thesis is to study the periodic solutions for some physical systems which the mathematical formulation of these systems leads to a certain set of nonlinear ordinary differential equations of the second order.
Author | : R. Reissig |
Publisher | : Springer |
Total Pages | : 688 |
Release | : 1974-01-31 |
Genre | : Mathematics |
ISBN | : 9001752705 |
Download Non-Linear Differential Equations of Higher Order Book in PDF, Epub and Kindle
Author | : Robert Mattheij |
Publisher | : SIAM |
Total Pages | : 408 |
Release | : 1996-01-01 |
Genre | : Mathematics |
ISBN | : 0898715318 |
Download Ordinary Differential Equations in Theory and Practice Book in PDF, Epub and Kindle
In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role. Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems.
Author | : |
Publisher | : |
Total Pages | : 14 |
Release | : 1992 |
Genre | : |
ISBN | : |
Download Singular Perturbation Methods for Nonlinear Dynamical Systems and Waves Book in PDF, Epub and Kindle
Progress has been made on understanding the complex behavior of physical processes described by nonlinear ordinary and partial differential equations through the use of singular perturbation methods. Modulation equations for the amplitude and phase of dissipatively perturbed strongly nonlinear oscillators and traveling waves have been derived from the action equation using the usual method of multiple scales. Equivalent results have been obtained using the method of averaging developed for the first time for a nonlinear partial differential equation, the Klein-Gordon equation, describing dispersive waves. In another study, Whitham's averaged Lagrangian principle has been generalized to account for arbitrary perturbations of the initial conditions. In other work, Bourland and Haberman analyzed the slow crossing of an unperturbed homoclinic orbit (separatrix) for dynamical systems. Solutions in the neighborhood of the separatrix are matched to the nonlinear slowly varying oscillations, resulting in the determination of accurate analytic formulas for the boundaries of the basin of attraction and connection formulas across the separatrix for the amplitude and phase. Under current investigation are generalizations of the slow crossing of a separatrix to arbitrary Hamiltonian systems and to nonchaotic situations in which small periodic forcing causes the existence of an infinite sequence of resonance layers that coalesce on the separatrix.
Author | : James Dickson Murray |
Publisher | : Oxford University Press, USA |
Total Pages | : 392 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Download Lectures on Nonlinear-differential-equation Models in Biology Book in PDF, Epub and Kindle