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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2010 Volume 15, Issue 2-3, Pages 185–193 (Mi rcd487)

On the 75th birthday of Professor L.P. Shilnikov

Energy functions for dynamical systems

V. Grines, O. Pochinka

Nizhny Novgorod State University, ul. Gagarina 23, Nizhny Novgorod, 603950 Russia

Abstract: The paper contains exposition of results devoted to the existence of an energy functions for dynamical systems.

Keywords: Lyapunov function, energy function, Morse – Smale system.

MSC: 37B25, 37D15, 57M30

Received: 15.12.2009
Accepted: 14.01.2010

Language: English

DOI: 10.1134/S1560354710020073



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