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تسجيل مستخدم جديدInertial Manifolds and Limit Cycles of Dynamical Systems in $mathbb R^n$
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We show that the presence of a two-dimensional inertial manifold for an ordinary differential equation in ${mathbb R}^{n}$ permits reducing the problem of determining asymptotically orbitally stable limit cycles to the Poincare--Bendixson theory. In the case $n=3$ we implement such a scenario for a model of a satellite rotation around a celestial body of small mass and for a biochemical model.
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