Differential Equations and Dynamical Systems: Texts in Applied Mathematics, cartea 7
Autor Lawrence Perkoen Limba Engleză Paperback – 14 noi 2013
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Paperback (1) | 512.86 lei 43-57 zile | |
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Springer – 28 dec 2000 | 575.41 lei 43-57 zile |
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Specificații
ISBN-13: 9781461265269
ISBN-10: 1461265266
Pagini: 576
Ilustrații: XIV, 557 p. 11 illus.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.79 kg
Ediția:3rd ed. 2001. Softcover reprint of the original 3rd ed. 2001
Editura: Springer
Colecția Springer
Seria Texts in Applied Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1461265266
Pagini: 576
Ilustrații: XIV, 557 p. 11 illus.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.79 kg
Ediția:3rd ed. 2001. Softcover reprint of the original 3rd ed. 2001
Editura: Springer
Colecția Springer
Seria Texts in Applied Mathematics
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
Series Preface.- Preface to the Third Edition.- Linear Systems.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nonlinear Systems: Bifurcation Theory.- References.- Additional References.- Index.
Recenzii
Reviews from the first edition:
“...The text succeeds admiraby ... 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 ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems.” MATHEMATICAL REVIEWS
“...The text succeeds admiraby ... 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 ... Each section closes with a set of problems, many of which are quite interesting and round out the text material ... this book is to be highly recommended both for use as a text, and for professionals in other fields wanting to gain insight into modern aspects of the geometric theory of continuous (i.e., not discrete) dynamical systems.” MATHEMATICAL REVIEWS
Textul de pe ultima copertă
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, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles.
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.
Caracteristici
Includes supplementary material: sn.pub/extras