Neutrality Criteria for Stability Analysis of Dynamical Systems through Lorentz and Rossler Model Problems

DOI: 10.4236/jamp.2015.35070   PDF   HTML   XML   2,502 Downloads   2,989 Views   Citations

Abstract

Two methods of stability analysis of systems described by dynamical equations are being considered. They are based on an analysis of eigenvalues spectrum for the evolutionary matrix or the spectral equation and they allow determining the conditions of stability and instability, as well as the possibility of chaotic behavior of systems in case of a stability loss. The methods are illustrated for nonlinear Lorenz and Rossler model problems.

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Perevoznikov, E. and Mikhailova, O. (2015) Neutrality Criteria for Stability Analysis of Dynamical Systems through Lorentz and Rossler Model Problems. Journal of Applied Mathematics and Physics, 3, 569-576. doi: 10.4236/jamp.2015.35070.

Conflicts of Interest

The authors declare no conflicts of interest.

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