Abstract
In the article, the methods of investigating the instability that were formulated earlier by the authors are systematized in the form of a set of criteria for the instability and chaos. The latest ones are used to study chaotic dynamics in the problems of Sprott and the nonlinear electronic generator of the CRC.
Highlights
In the article, the methods of investigating the instability that were formulated earlier by the authors are systematized in the form of a set of criteria for the instability and chaos
The models which are used for the demonstration relate to essentially nonequilibrium dynamic systems with pronounced chaotic behavior
The SD-method is based on the idea of a connection between mathematical features (Singularities) of dynamic equations with the change of dynamic regimes, with dynamic qualitative transitions and accompanying instabilities
Summary
The methods of investigating the instability that were formulated earlier by the authors are systematized in the form of a set of criteria for the instability and chaos. Nonlinear Dynamics, Criteria of Instability and Chaos, The Problems of Chaotic Dynamics of Sprott and Nonlinear Electronic Generator The results of the theory of instability developed in [1]-[5], are supplemented and systematized in the form of a set of spectral methods and chaos criteria for three-dimensional dynamical systems.
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