Chaos near Resonance
by J. E. Marsden (Editor), L. Sirov (Editor), G. Haller
ISBN-10: 0387986979
ISBN-13: 9780387986975
$54.99
Book Specs
Binding
Trade Cloth
Publisher
Springer
Published on
Sep 24, 1999
Edition
1st Edition
Dimensions
6.14x1.00x9.21 Inches
Weight
3.92 Pounds
About the Book
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of chaos near resonances is discussed in both the dissipative and the Hamiltonian context, incorporating previously unpublished new results on universal homoclinic bifurcations near resonances, as well as on multi-pulse Silnikov manifolds.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.