ON THE STRUCTURE OF THE STABILITY ZONES OF THE DYNAMICAL SYSTEMS THAT DEPEND OF PARAMETERS

Marcel MIGDALOVICI, Daniela BARAN, Gabriela VLADEANU

Abstract


The subject of this paper is focused on the stability analysis, in sense of Liapunov, for the evolution of the dynamical systems that depend of parameters. In this paper we emphasize new mathematical aspects on a property of separation referred to stable and unstable zones, in the plane of principal parameters, and on the possible existence of the isolate (singular) points of stability or instability, in the plane of principal parameters of the dynamical system. A numerical test on a particular case of dynamical system that depends of parameters, is described in the paper.

Key words: dynamical system, stability, principal parameters, structure of stability zones

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References


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