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math-ph2009★ 5 cited
Autoresonance in a Dissipative System
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the a…
math.AP2009
Equations of Maxwell Type
K. O. Makhmudov, O. I. Makhmudov, N. Tarkhanov
For an elliptic complex of first order differential operators on a smooth manifold, we define a system of two equations which can be thought of as abstract Maxwell equations. The f…