Dynamical Systems: An Introduction with Applications in Economics and Biology
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Bibliographic Details
Main Author: Tu, Pierre N. (Author)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1994
Edition:Second Revised and Enlarged Edition
Subjects:
Online Access:Volltext
Item Description:The favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explanation, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9
Physical Description:1 Online-Ressource (XVIII, 314 p)
ISBN:9783642787935
9783540576617
DOI:10.1007/978-3-642-78793-5

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