Invariant surfaces of periodic systems with conservative cubic first approximation

DOI10.1134/S106345411903004XzbMath1431.34061MaRDI QIDQ2282754

V. V. Basov, Artëm Sergeevich Zhukov

Publication date: 19 December 2019

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcationaveraginginvariant surfaceseparatrix

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) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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
• Bifurcation of invariant tori of codimension one

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