Subharmonic response and synchronisation for the forced van der Pol equation via Cesari's method

DOI10.1016/0022-247X(84)90208-7zbMath0569.34027MaRDI QIDQ1061290

Werner Stork

Publication date: 1984

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

zbMATH Keywords

van der Pol equationcontinuous branches of solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Non-self-adjoint semilinear problems at resonance in the alternative method
• On a theorem by H. Shaw and P. J. McKenna concerning solution sets of some nonlinear boundary value problems
• Functional analysis and Galerkin's method
• Bounded perturbations of forced harmonic oscillators at resonance
• On turning points
• The measure of the critical values of differentiable maps
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