Author(s)

Evgeniy Perevoznikov^*, Olga Mikhailova

St. Petersburg State University of Trade and Economics, Petersburg, Russia.

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.

Nonlinear Dynamical Systems, Stability Analysis Methods, Dynamical Chaos, Lorenz and Rössler Model Problems

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.