scientific article; zbMATH DE number 6892670

zbMath1394.34087MaRDI QIDQ4568455

Artëm Sergeevich Zhukov, V. V. Basov

Publication date: 21 June 2018

Full work available at URL: http://www.math.spbu.ru/diffjournal/EN/numbers/2017.3/article.1.1.html

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zbMATH Keywords

bifurcationaveraginginvariant surface

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Multifrequency systems of ordinary differential equations (34C46)

Cites Work

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• Invariant surfaces of standard two-dimensional systems with conservative first approximation of the third order
• Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency
• Bifurcation of the point of equilibrium in systems with zero roots of the characteristic equation
• Integral manifolds of perturbed differential systems
• Invariant surfaces of two-dimensional periodic systems with bifurcating rest points in the first approximation

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