Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions

zbMath1409.34058MaRDI QIDQ1717380

Li Yong, Nikolay Aleksandrovich Sidorov, Denis Nikolaevich Sidorov

Publication date: 5 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_a8c81f7734724a34930bac373803cb8b&lang=rus

zbMATH Keywords

stabilityCauchy problembifurcationblow-upbranchingdynamical modelsrest point

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Global stability of solutions to ordinary differential equations (34D23) Bifurcation theory of functional-differential equations (34K18) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (1)

On the occasion of the 80th birthday of Professor N. A. Sidorov

Cites Work

• Convex majorants method in the theory of nonlinear Volterra equations
• Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations
• Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels
• On stability properties of nonlinear systems with slowly varying inputs
• Computation of Singular and Singularity Induced Bifurcation Points of Differential-Algebraic Power System Model
• Solution of Irregular Systems of Partial Differential Equations Using Skeleton Decomposition of Linear Operators
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