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Nikolay V. Kuznetsov
Nikolay Vladimirovich Kuznetsov (russian: Николай Владимирович Кузнецов; born 13 May 1979 in Leningrad, Soviet Union, USSR) is a specialist in nonlinear dynamics and control theory. Academic career He graduated from the Saint Petersburg State University, St. Petersburg University, Department of Theoretical Cybernetics chaired by Vladimir Yakubovich, V.A. Yakubovich, in 2001. In 2004 he received Candidate of Science degree (supervisor Gennady Leonov, G.A. Leonov) and in 2016 Doctor of Science degree (Habilitation) from St. Petersburg University. From 2003 Nikolay Kuznetsov has been working in St. Petersburg University and now he is Full professor (tenured) and Head of the Department of Applied Cybernetics there. Since 2018 the research group chaired by Kuznetsov has been awarded the status of Center of excellence#Russia, the Leading Scientific School (Center of Excellence) of Russia in the field of mathematics and mechanics. In 2020 he ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eden’s Conjecture
In the mathematics of dynamical systems, Eden's conjecture states that the supremum of the local Lyapunov dimensions on the global attractor is achieved on a stationary point or an unstable periodic orbit embedded into the attractor. The validity of the conjecture was proved for a number of well-known systems having global attractor (e.g. for the global attractors in the Lorenz system, complex Ginzburg–Landau equation). It is named after Alp Eden, who proposed it in 1987. Kuznetsov–Eden's conjecture For local attractors, a ''conjecture on the Lyapunov dimension of self-excited attractor'', refined by N. Kuznetsov, is stated that for a typical system, the Lyapunov dimension of a self-excited attractor does not exceed the Lyapunov dimension of one of the unstable equilibria, the unstable manifold of which intersects with the basin of attraction and visualizes the attractor. The conjecture is valid, e.g., for the classical self-excited Lorenz attractor; for the self-e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
