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.
Format PDF ● Halaman-halaman 85 ● ISBN 9781470410056 ● Penerbit American Mathematical Society ● Muat turun 3 kali ● Mata wang EUR ● ID 6597510 ● Salin perlindungan Adobe DRM
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