Spatially heterogeneous periodic solutions of the Hutchinson equation with distributed saturation. Automatic Control and Computer Sciences Volume 47, Issue 7, December 2013, Pages 549-555

14 сентября 2018
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Контактные данные автора публикации Glyzin, D.S.a , Kashchenko, S.A.ab , Polstyanov, A.S.a ; a Demidov State University, Yaroslavl, Russian Federation b Department of Applied Mathematics, National Research Nuclear University, MEPhI
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Аннотация

Asymptotics of spatially heterogeneous periodic solutions of the spatially distributed Hutchinson equation with periodic boundary conditions are obtained in cases of symmetric and asymmetric saturations. The numerical analysis of a simplified model shows the multistability, i.e., the coexistence of periodic solutions in the form of travelling waves, among which there are no solutions with the obtained asymptotics.
Author keywords
Asymptotic methods; Distributed Hutchinson equation; Method of steps
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