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Normal forms for periodic systems

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Publication:1080029
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DOI10.1016/0022-247X(86)90326-4zbMath0599.34056MaRDI QIDQ1080029

Hal Leslie Smith

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Floquet exponentsfirst order differential equationapproximate invariant manifoldsnormal forms for t-periodic vector fields


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)


Related Items

OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION ⋮ A direct approach for simplifying nonlinear systems with external periodic excitation using normal forms ⋮ Normal forms for nonautonomous differential equations



Cites Work

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  • Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
  • Integral averaging and bifurcation
  • Singularities of vector fields
  • Multiple Bifurcation Problems of Codimension Two
  • On the small oscillations of the periodic Rayleigh equation
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