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Dissipative Nonlinear Evolution Equations and Chaos
Author(s) -
Hsieh D. Y.,
Tang S. Q.,
Wang X. P.,
Wu L. X.
Publication year - 1998
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00092
Subject(s) - dissipative system , nonlinear system , chaotic , dissipation , chaos (operating system) , mathematics , classical mechanics , evolution equation , statistical physics , mathematical analysis , physics , computer science , thermodynamics , computer security , quantum mechanics , artificial intelligence
In this article we have studied the nonlinear interaction between ellipticity and dissipation in a set of model equations (1.1) and established the relation between this interaction and chaos. In addition to theoretical investigations, extensive numerical simulations with these equations have been made, and different routes to chaos have been found. The numerical studies have revealed the chaotic nature of the solutions.