Periodic Differential Equations In The Plane

Download Periodic Differential Equations In The Plane full books in PDF, epub, and Kindle. Read online Periodic Differential Equations In The Plane ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Periodic Differential Equations in the Plane

Author : Rafael Ortega
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110550423
Total Pages : 195 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Periodic Differential Equations in the Plane by : Rafael Ortega

Download or read book Periodic Differential Equations in the Plane written by Rafael Ortega and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic differential equations appear in many contexts such as in the theory of nonlinear oscillators, in celestial mechanics, or in population dynamics with seasonal effects. The most traditional approach to study these equations is based on the introduction of small parameters, but the search of nonlocal results leads to the application of several topological tools. Examples are fixed point theorems, degree theory, or bifurcation theory. These well-known methods are valid for equations of arbitrary dimension and they are mainly employed to prove the existence of periodic solutions. Following the approach initiated by Massera, this book presents some more delicate techniques whose validity is restricted to two dimensions. These typically produce additional dynamical information such as the instability of periodic solutions, the convergence of all solutions to periodic solutions, or connections between the number of harmonic and subharmonic solutions. The qualitative study of periodic planar equations leads naturally to a class of discrete dynamical systems generated by homeomorphisms or embeddings of the plane. To study these maps, Brouwer introduced the notion of a translation arc, somehow mimicking the notion of an orbit in continuous dynamical systems. The study of the properties of these translation arcs is full of intuition and often leads to "non-rigorous proofs". In the book, complete proofs following ideas developed by Brown are presented and the final conclusion is the Arc Translation Lemma, a counterpart of the Poincaré–Bendixson theorem for discrete dynamical systems. Applications to differential equations and discussions on the topology of the plane are the two themes that alternate throughout the five chapters of the book.

Periodic Differential Equations in the Plane

Author : Rafael Ortega
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110551160
Total Pages : 195 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Periodic Differential Equations in the Plane by : Rafael Ortega

Almost Periodic Differential Equations

Author : A.M. Fink
Publisher : Springer
ISBN 13 : 3540383077
Total Pages : 345 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Almost Periodic Differential Equations by : A.M. Fink

Download or read book Almost Periodic Differential Equations written by A.M. Fink and published by Springer. This book was released on 2006-11-15 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Periodic Differential Equations

Author : F. M. Arscott
Publisher : Elsevier
ISBN 13 : 1483164888
Total Pages : 294 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Periodic Differential Equations by : F. M. Arscott

Download or read book Periodic Differential Equations written by F. M. Arscott and published by Elsevier. This book was released on 2014-05-16 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.

Playing Around Resonance

Author : Alessandro Fonda
Publisher : Birkhäuser
ISBN 13 : 3319470906
Total Pages : 309 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

Book Synopsis Playing Around Resonance by : Alessandro Fonda

Download or read book Playing Around Resonance written by Alessandro Fonda and published by Birkhäuser. This book was released on 2016-11-11 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.

The Restricted 3-Body Problem: Plane Periodic Orbits

Author : Alexander D. Bruno
Publisher : Walter de Gruyter
ISBN 13 : 3110901730
Total Pages : 377 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

Book Synopsis The Restricted 3-Body Problem: Plane Periodic Orbits by : Alexander D. Bruno

Download or read book The Restricted 3-Body Problem: Plane Periodic Orbits written by Alexander D. Bruno and published by Walter de Gruyter. This book was released on 2011-05-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Ordinary Differential Equations

Author : Nicolas Rouche
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations by : Nicolas Rouche

Download or read book Ordinary Differential Equations written by Nicolas Rouche and published by Pitman Advanced Publishing Program. This book was released on 1980 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Plane Nets Periodic of Period 3 Under the Laplacian Transformation ...

Author : Jasper Ole Hassler
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.L/5 ( download)

DOWNLOAD NOW!

Book Synopsis Plane Nets Periodic of Period 3 Under the Laplacian Transformation ... by : Jasper Ole Hassler

Download or read book Plane Nets Periodic of Period 3 Under the Laplacian Transformation ... written by Jasper Ole Hassler and published by . This book was released on 1916 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary Differential Equations

Author : David A. Sanchez
Publisher : American Mathematical Soc.
ISBN 13 : 1470458349
Total Pages : 132 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations by : David A. Sanchez

Download or read book Ordinary Differential Equations written by David A. Sanchez and published by American Mathematical Soc.. This book was released on 2002-12-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The [Author]; has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.

Mathematical Theory in Periodic Plane Elasticity

Author : Hai-Tao Cai
Publisher : CRC Press
ISBN 13 : 1482287536
Total Pages : 168 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Theory in Periodic Plane Elasticity by : Hai-Tao Cai

Download or read book Mathematical Theory in Periodic Plane Elasticity written by Hai-Tao Cai and published by CRC Press. This book was released on 2014-04-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed.

Non-Linear Differential Equations

Author : G. Sansone
Publisher : Elsevier
ISBN 13 : 1483135969
Total Pages : 550 pages
Book Rating : 4.4/5 (831 download)

DOWNLOAD NOW!

Book Synopsis Non-Linear Differential Equations by : G. Sansone

Download or read book Non-Linear Differential Equations written by G. Sansone and published by Elsevier. This book was released on 2016-06-06 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Almost Periodic Differential Equations

Author : Arlington M. Fink
Publisher : Springer
ISBN 13 : 9780387067292
Total Pages : 336 pages
Book Rating : 4.0/5 (672 download)

DOWNLOAD NOW!

Book Synopsis Almost Periodic Differential Equations by : Arlington M. Fink

Download or read book Almost Periodic Differential Equations written by Arlington M. Fink and published by Springer. This book was released on 1974 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Periodic, Small-amplitude Solutions to the Spatially Uniform Plasma Continuity Equations

Author : J. Reece Roth
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Periodic, Small-amplitude Solutions to the Spatially Uniform Plasma Continuity Equations by : J. Reece Roth

Download or read book Periodic, Small-amplitude Solutions to the Spatially Uniform Plasma Continuity Equations written by J. Reece Roth and published by . This book was released on 1968 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equations with Small Parameters and Relaxation Oscillations

Author : E. Mishchenko
Publisher : Springer Science & Business Media
ISBN 13 : 1461590477
Total Pages : 235 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations with Small Parameters and Relaxation Oscillations by : E. Mishchenko

Download or read book Differential Equations with Small Parameters and Relaxation Oscillations written by E. Mishchenko and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large amount of work has been done on ordinary differ ential equations with small parameters multiplying deriv atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl- and fast-motion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L.S. Pontryagin and the authors. Other works have also been taken into account: A.A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N.A. Zheleztsov and L.V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A.N. Tikhonov and A.B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E.F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. Second-Order Systems. Fast and Slow Motion.

A Second Course in Elementary Differential Equations

Author : Paul Waltman
Publisher : Elsevier
ISBN 13 : 1483276600
Total Pages : 272 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis A Second Course in Elementary Differential Equations by : Paul Waltman

Download or read book A Second Course in Elementary Differential Equations written by Paul Waltman and published by Elsevier. This book was released on 2014-05-10 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

Periodic Solutions of the N-Body Problem

Author : Kenneth R. Meyer
Publisher : Springer
ISBN 13 : 3540480730
Total Pages : 149 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Periodic Solutions of the N-Body Problem by : Kenneth R. Meyer

Download or read book Periodic Solutions of the N-Body Problem written by Kenneth R. Meyer and published by Springer. This book was released on 2006-11-17 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the N-body problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the N-body problem on the reduced space.

Ordinary Differential Equations

Author : A. K. Nandakumaran
Publisher : Cambridge University Press
ISBN 13 : 110834416X
Total Pages : 352 pages
Book Rating : 4.1/5 (83 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations by : A. K. Nandakumaran

Download or read book Ordinary Differential Equations written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2017-05-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.