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Chaos Near Resonance - Applied Mathematical Sciences 138 (Hardback)
  • Chaos Near Resonance - Applied Mathematical Sciences 138 (Hardback)

Chaos Near Resonance - Applied Mathematical Sciences 138 (Hardback)

Hardback 430 Pages / Published: 24/09/1999
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A unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, the book develops a general finite dimensional theory of homoclinic jumping, illustrating it with examples. The main mechanism of chaos near resonances is discussed in both the dissipative and the Hamiltonian context, incorporating previously unpublished new results on universal homoclinic bifurcations near resonances, as well as on multi-pulse Silnikov manifolds. The results are applied to a variety of different problems, which include applications from beam oscillations, surface wave dynamics, nonlinear optics, atmospheric science and fluid mechanics.

Publisher: Springer-Verlag New York Inc.
ISBN: 9780387986975
Number of pages: 430
Weight: 1780 g
Dimensions: 235 x 155 x 25 mm
Edition: 1999 ed.

"An extensive bibliography and the many examples make this clearly-written book an excellent introduction to these techniques for identifying chaos in perturbations of systems with resonance."
Applied Mechanics Reviews, Vol. 53/4, April 2000

"Haller makes a point of wanting to see dynamical systems theory fulfil "its long-standing promise to solve real-life problems". His book, through a wealth of detailed examples, delivers on this promise, and is certain ti become a standard text in this area. In particular, it is an excellent introduction to this research area, and contains a wealth of bibliographical and historical detail.
Matthew Nicol, Bulletin of the LMS, No. 162, Vol. 33/3, May 2001

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