Boundaries of Stability Domains for Equilibrium Points of Differential Equations with Parameters
- 5 Downloads
We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under which a unique smooth boundary curve passes through a given point. We propose a scheme of approximate construction of this curve.
Keywords and phrasesautonomous system periodic system equilibrium point stability stability domain parameter
AMS Subject Classification34D20
Unable to display preview. Download preview PDF.
- 3.H. D. Chiang and L. F. C. Alberto, Stability Regions of Nonlinear Dynamical Systems: Theory, Estimation, and Applications, Cambridge Univ. Press (2015).Google Scholar
- 4.M. A. Krasnosel’sky and M. G. Yumagulov, “A method of functionalization of parameters in the eigenvalue problem,” Dokl. Ross. Akad. Nauk, 365, No. 2, 162–164 (1999).Google Scholar
- 6.V. A. Yakubovich and V. M. Starzhinsky, Linear Differential Equations with Periodic Coefficients and Their Applications [in Russian], Nauka, Moscow (1972).Google Scholar