Strange attractors for periodically forced parabolic equations

Strange attractors for periodically forced parabolic equations

by Lu, Kening

Type Book
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"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given."--Page v.

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Title Statements

  • Full title :Strange attractors for periodically forced parabolic equations / Kening Lu, Qiudong Wang, Lai-Sang Young.

Summary

"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given."--Page v.

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Edition Statements

  • Publication Date:©2012

Publication Statements

Notes

"July 2013, Volume 224, Number 1054 (third of 4 numbers)."

The Physical Object

  • Description:1 online resource (v, 85 pages) : : color illustrations.

Edition Identifiers

  • ISBN:9781470410056, 1470410052
  • oclc:ocn841577827
  • LC Classification:QA614.813
  • Dewey Decimal:515/.3534

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