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Chaos Near Resonance (Volume 138)
G. Haller
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Description for Chaos Near Resonance (Volume 138)
paperback. Series: Applied Mathematical Sciences. Num Pages: 446 pages, biography. BIC Classification: PBF; PBK; PBW; PH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 688.
Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled with instabilities, can result in highly irregular behavior. This book gives a unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, a general finite dimensional theory of homoclinic jumping is developed and illustrated with examples. The main mechanism of chaos near resonances is discussed in both the dissipative and the Hamiltonian context. Previously unpublished new results on universal homoclinic bifurcations ... Read more
Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled with instabilities, can result in highly irregular behavior. This book gives a unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, a general finite dimensional theory of homoclinic jumping is developed and illustrated with examples. The main mechanism of chaos near resonances is discussed in both the dissipative and the Hamiltonian context. Previously unpublished new results on universal homoclinic bifurcations ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer/Sci-Tech/Trade United States
Number of pages
446
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
430
Place of Publication
New York, NY, United States
ISBN
9781461271727
SKU
V9781461271727
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Chaos Near Resonance (Volume 138)
"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 ... Read more