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The Creation Of Strange Nonchaotic Attractors In Nonsmooth Saddlenode Bifurcations Tobias H Jager

Name: The Creation Of Strange Nonchaotic Attractors In Nonsmooth Saddlenode Bifurcations Tobias H Jager
SKU: BELL-5251084
Price: 31.00 USD
Availability: InStock
Rating: 4 (46 reviews)

SKU: BELL-5251084

$ 31.00 ~~$ 45.00~~ (-31%)

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The Creation Of Strange Nonchaotic Attractors In Nonsmooth Saddlenode Bifurcations Tobias H Jager instant download after payment.

Publisher: Amer Mathematical Society

File Extension: PDF

File size: 1.38 MB

Pages: 120

Author: Tobias H. Jager

ISBN: 9780821844274, 082184427X

Language: English

Year: 2009

Product desciption

The Creation Of Strange Nonchaotic Attractors In Nonsmooth Saddlenode Bifurcations Tobias H Jager by Tobias H. Jager 9780821844274, 082184427X instant download after payment.

The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls 'exponential evolution of peaks'