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The authors 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.
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स्वरूप PDF ● पेज 85 ● ISBN 9781470410056 ● प्रकाशक American Mathematical Society ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 6597510 ● कॉपी सुरक्षा Adobe DRM
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