The alternating Lyapunov functions and preservation of invariant tori under perturbations

DOI10.1007/BF01056421zbMath0654.34044MaRDI QIDQ1108450

V. L. Kulik

Publication date: 1987

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

zbMATH Keywords

quasiperiodic oscillationsalternating quadratic formsdynamical system on the torus

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

Criterion for existence of a continuous invariant cross section of an affine extension

Cites Work

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• A spectral theory for linear differential systems
• Quadratic forms and dichotomy of solutions of systems of linear differential equations

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