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Common terms and phrases analytic system dynamicap bifurcation diagram bifurcation surface bifurcation value bifurcations that occur center manifold Chapter Cl E codimension compute Corollary defined determined differential equation dynamical system eigenvalues eigenvectors equilibrium point family of periodic family of rotated field f differential number flow given global phase portrait Hamiltonian system homoclinic loop homoclinic orbit Hopf bifurcation hyperbolic initial value problem Lemma Lienard system limit cycles linear system maximal interval Melnikov function neighborhood node nonhyperbolic critical point nonlinear system normal form one-parameter family open subset origin parameter periodic orbit planar systems Poincare map Poincare sphere Poincare-Bendixson Theorem point XQ polynomial PROBLEM SET proof rotated vector fields saddle saddle-node bifurcation satisfies Section 4.
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To ask other readers questions about Differential Equations and Dynamical Systemsplease sign up. Liam marked it as to-read Jun 02, We’re featuring millions of their reader ratings on our book pages to help you find equqtions new favourite book. Product details Format Hardback dynamkcal Dimensions x x Risto Saarelma added it Apr 26, Back cover copy This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems.
Differential Equations and Dynamical Systems
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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.
Examples abound, figures are used to advantage, and a reasonable balance is maintained between what is proved in detail and what is asserted with supporting references Govaerts No preview available – Somezero marked it as to-read Oct 12, Looking for beautiful books?
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Differential Equations and Dynamical Systems : Lawrence Perko :
In addition to minor corrections and updates throughout, this new edition contains materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise’s algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems. This renewal of interest, both in research and teaching, has led to the establishment of the series: This book is not yet featured on Listopia.
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Selected pages Title Page. Sara Yaqob marked it as to-read Mar 24, Review quote Reviews from the first edition: Books by Lawrence Perko.
This renewal of interest, both in research Geometric Methods and Applications Jean Gallier. This renewal of interest, both in research and teaching, has led to the establishment of the series: Goodreads helps you keep track of books you want to read. Description This textbook presents a systematic study of systms qualitative and geometric theory of nonlinear differential equations and dynamical systems.
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