On the non-autonomous van der Pol equation with large parameter

Author:

Lloyd N. G.

Abstract

We consider the equation.where ø = λt + μ; the dot denotes differentiation with respect to a real variable t (frequently for convenience called ‘time’); b, λ, k, μ are parameters independent of x, ẋ t and b, λ, μ independent of k.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Singular perturbations of a van der Pol equation;Wendel;Contributions to the theory of nonlinear oscillations,1950

2. On non-linear differential equations of the second order: IV. The general equation $\ddot y + kf\left( y \right)\dot y + g\left( y \right) = bkp\left( \varphi \right)$ , φ=t+α, φ=t+α

3. Forced oscillations in nonlinear systems;Cartwright;Contributions to the theory of nonlinear oscillations,1950

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