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

Evgeniy Perevoznikov, Olga Mikhailova
2015 Journal of Applied Mathematics and Physics  
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 Rössler model problems.
doi:10.4236/jamp.2015.35070 fatcat:vf55vrmyw5dadfbgru7viiurvm