Solutions to Van der Pol's equation using a perturbation method Academic Article uri icon

abstract

  • Solutions to Van der Pol's equation are examined when the coefficient ε of the non-linear term is small. Under this condition a uniformly valid second approximation for arbitrary initial conditions is obtained using a perturbation method first developed by Cochran and extended by Nayfeh. The work here is then extended to obtain the fourth approximation for the time variations in the limit cycle. Comparison is made between the solutions obtained by the perturbation method and those obtained by numerical integration. © 1967.

author list (cited authors)

  • Davis, R. T., & Alfriend, K. T.

citation count

  • 20

publication date

  • June 1967