Conservation and bifurcation of an invariant torus of a vector field

DOI10.1007/BF02355005zbMath0921.34038MaRDI QIDQ1274001

Yuri N. Bibikov

Publication date: 23 September 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

bifurcationinvariant toriquasiperiodic motionDiophantine conditionssmall perturbed systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

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• Bifurcation of a stable invariant torus from an equilibrium
• Convergent series expansions for quasi-periodic motions
• Integral manifolds of perturbed differential systems
• Unfoldings and bifurcations of quasi-periodic tori

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