Mixed-Mode Oscillations with Multiple Time Scales
نویسندگان
چکیده
منابع مشابه
Mixed-Mode Oscillations with Multiple Time Scales
Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an alternation between oscillations of distinct large and small amplitudes. MMOs have been observed and studied for over thirty years in chemical, physical, and biological systems. Few attempts have been made thus far to classify different patterns of MMOs, in contrast to the classification of the related ph...
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where A ( < ) is analytic in the small parameter e . Our basic result is a uniform asymptotic approximation to exp A ( e ) r that we obtain under a certain multiple semistability condition. This asymptotic approximation gives a complete multiple time scale decomposition of the above system and specifies a set of reduced order models valid at each time scale. Our contribution is threefold. 1...
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ژورنال
عنوان ژورنال: SIAM Review
سال: 2012
ISSN: 0036-1445,1095-7200
DOI: 10.1137/100791233