SUFFICIENT CONDITIONS FOR THE EXISTENCE OF INVARIANT TORI IN MULTIDIMENSIONAL DYNAMICAL SYSTEMS

Autor:	I. L. Zheleznyak, A. L. Zheleznyak, V. S. Afraimovich
Rok vydání:	1991
Předmět:	Dynamical systems theory Applied Mathematics Modeling and Simulation Ordinary differential equation Attractor Mathematical analysis Torus Invariant (physics) Engineering (miscellaneous) Mathematics Mathematical physics
Zdroj:	International Journal of Bifurcation and Chaos. :681-689
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s021812749100049x
Popis:	A method for analyzing the existence of a multidimensional torus for certain systems of ordinary differential equations is proposed. Using this method, the existence of a multidimensional torus in one of such systems is analyzed. This system is a mathematical model of the dynamics of interacting structures within the drift hydrodynamical systems. The behavior of trajectories on the multidimensional torus is numerically investigated. The existence of two- and three-dimensional tori as well as strange attractors are considered.
Databáze:	OpenAIRE
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