Sergey Gonchenko

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SERGEY GONCHENKO∗, MING-CHIA LI† and MIKHAIL MALKIN‡ ∗Research Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod State University, Nizhny Novgorod, Russia gosv100@uic.nnov.ru †Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan mcli@math.nctu.edu.tw ‡Department of Mathematics and Mechanics, Nizhny Novgorod(More)
In 1965, Shilnikov discovered that a homoclinic loop to a saddle-focus can imply chaos. The notion itself did not exist then; the “chaos theory” emerged and became popular only 10–20 years later. Chaos was found in many nonlinear models of hydrodynamics, optics, chemical kinetics, biology, etc. It also occurred that strange attractors in models of various(More)
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