Nonlinear physics and mechanics

What is Quasi-Conservative Dynamics? On the Anniversary of A. D. Morozov

S. V. Gonchenko, K. E. Morozov

Lobachevsky State University of Nizhni Novgorod, prosp. Gagarina 23, Nizhni Novgorod, 603950 Russia

Аннотация: We give a review of scientific results of the remarkable Russian mathematician Albert Dmitrievich Morozov who is the world’s recognized leader in the theory of nearly Hamiltonian systems and one of the founders of the modern mathematical theory of synchronization in oscillatory systems. This review was prepared in connection with the 80th birthday of A.D. Morozov and the authors wish him all the best, good health and creative success.

Ключевые слова: nearly Hamiltonian system, nonlinear resonance, quasi-coservative system, periodic perturbations

MSC: 34A34, 34D10, 37J40

Поступила в редакцию: 13.03.2025
Принята в печать: 24.03.2025

Язык публикации: английский

DOI: 10.20537/nd250402