The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems

DOI10.13108/2016-8-3-58zbMath1463.34237OpenAlexW2588411246MaRDI QIDQ5136185

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

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa325

zbMATH Keywords

small parameterdynamical systemsasymptotic formulastability regionshyperbolicity regions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items (4)

Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems ⋮ The stability of continuous-discrete dynamical systems under fast switching ⋮ Methods for studying the stability of linear periodic systems depending on a small parameter ⋮ A study of the boundaries of stability regions in two-parameter dynamical systems

Cites Work

• Unnamed Item
• An operator method for investigating the stability of cycles in Hopf bifurcation
• Parameter functionability and asymptotic behavior of cycles in Hopf's bifurcation
• A new trajectory reversing method for estimating stability regions of autonomous nonlinear systems
• Stability regions of nonlinear autonomous dynamical systems
• Stability Regions of Nonlinear Dynamical Systems
• Elements of applied bifurcation theory

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