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On the existence of periodic solutions of the D.E. x + F(x) = epsilon f(x,x,t;epsilon)

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Publication:1165995
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DOI10.1016/0898-1221(82)90008-6zbMath0488.34028OpenAlexW2012593166MaRDI QIDQ1165995

M. Yachter

Publication date: 1982

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(82)90008-6


zbMATH Keywords

nonlinear oscillationsbifurcation phenomenon of PoincareDuffing problemstransformation of equationsVan der Pol problem


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)




Cites Work

  • On the structure of the set of solutions of certain holomorphic two-point boundary value problems
  • On Analytic Differential Equations
  • Differential Equations on Complex Manifolds
  • On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k Large
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