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9780387944180: Elements of Applied Bifurcation Theory: Vol 112
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This book is about nonlinear dynamical systems and their bifurcations under parameter variation. It aims to provide a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.
The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used.
Basic results of bifurcation theory, such as Andronov-Hopf, planar homoclinic, period-doubling, and Neimark-Sacker bifurcations, are presented in much detail, including self-contained proofs not available in existing textbooks. Several recent results are also discussed, like generic two-parameter bifurcations of equilibria and fixed points, bifurcations of homoclinic orbits to non-hyperbolic equilibria, and one-parameter bifurcations of limit cycles in systems with reflectional symmetry, which are hardly covered in graduate-level textbooks. The presented material is sufficient to perform quite complex bifurcation analysis of dynamical systems and to understand basic methods, results, and terminology used in modern applied mathematics literature.

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  • EditoreSpringer Nature
  • Data di pubblicazione1995
  • ISBN 10 0387944184
  • ISBN 13 9780387944180
  • RilegaturaCopertina rigida
  • Numero edizione1
  • Numero di pagine598
  • Valutazione libreria

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Altre edizioni note dello stesso titolo

9780387219066: Elements Of Applied Bifurcation Theory: 112

Edizione in evidenza

ISBN 10:  0387219064 ISBN 13:  9780387219066
Casa editrice: Springer Nature, 2004
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  • 9781441919519: Elements of Applied Bifurcation Theory: 112

    Spring..., 2010
    Brossura

  • 9780387983820: Elements of Applied Bifurcation Theory: v. 112

    Spring..., 1998
    Rilegato

  • 9781475739794: Elements of Applied Bifurcation Theory

    Springer, 2013
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Yuri A. Kuznetsov, Iu A. Kuznetsov
Editore: SPRINGER VERLAG GMBH (1995)
ISBN 10: 0387944184 ISBN 13: 9780387944180
Antico o usato Rilegato Quantità: 2
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