A study of the boundaries of stability regions in two-parameter dynamical systems

DOI10.1134/S0005117917100046zbMath1387.93140OpenAlexW2761032803MaRDI QIDQ683454

I. Zh. Mustafina, L. S. Ibragimova, M. G. Yumagulov

Publication date: 6 February 2018

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117917100046

zbMATH Keywords

stabilitydynamical systemsHamiltonian systemsbifurcationsequilibrium pointboundary of a stability regiondangerous and safe boundaries

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (1)

Methods for studying the stability of linear periodic systems depending on a small parameter

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• An operator method for investigating the stability of cycles in Hopf bifurcation
• A new trajectory reversing method for estimating stability regions of autonomous nonlinear systems
• The parameter functionalization method in the eigenvalue problem
• The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems
• Stability Regions of Nonlinear Dynamical Systems

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