Open AccessThe Effect of Domain Deformation on the Behavior of a Distributed Kinetic System
Author(s) -
Е. П. Кубышкин
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2013-1-99-106
Subject(s) - attractor , lyapunov exponent , homogeneous , domain (mathematical analysis) , chaotic , nonlinear system , kinetic energy , deformation (meteorology) , dimension (graph theory) , lyapunov function , mechanics , classical mechanics , statistical physics , physics , mathematical analysis , mathematics , computer science , meteorology , pure mathematics , quantum mechanics , artificial intelligence
The behavior of a distributed kinetic system, which is in homogeneous equilibrium within a flat circular reactor, under circular domain deformation is studied. We show that the deformation of domain may lead to appearance of stable spatially inhomogeneous oscillatory solutions, including chaotic oscillations (strange attractors), in the neighborhood of homogeneous equilibrium. We also speak about mechanisms of initiation of chaotic attractors and calculate Lyapunov exponents and Lyapunov dimension for these regimes. We call this mechanism of appearance of spatially inhomogeneous nonlinear oscillations in distributed kinetic system the domain effect.