Geodesic
Stability of autoresonance models under persistent disturbances
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 254-264 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to investigating the stability of growing solutions of nonlinear systems related to the autoresonance phenomenon. The aim of the paper is to find conditions under which solutions are stable under persistent disturbances. The main tool here is the Lyapunov function. The results obtained for the main resonance equations are extended to general nonautonomous systems close to Hamiltonian systems.
Keywords: stability, Lyapunov function, nonlinear systems, autoresonance.
Mots-clés : perturbations 
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O. A. Sultanov. Stability of autoresonance models under persistent disturbances. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 254-264. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a24/

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