Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I have a differential equation on torus $(t,x)$ and well studied it's Arnold tongues for Poincare map of the circle $x(t=0) \to x(t=2\pi)$. The question is how changes rotation number when I add small periodic perturbation to equation, for example $\varepsilon \sin 2x$? Is there any technic to give some prediction? Some info: equation is $\dot{x}=a+b \sin(t)+sin(x)$, its conjugated to Riccati equation (so perturbation of original equation is perturbation of Riccati equation)

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.