Abstract
Using continuation methods, we study the global solution structure of periodic solutions for a class of periodically forced equations, generalizing the case of relativistic pendulum. We obtain results on the existence and multiplicity of periodic solutions. Our approach is suitable for numerical computations, and in fact we present some numerically computed bifurcation diagrams illustrating our results.
Acknowledgements
This work was supported by the grants of RFBR No 10-04-00913, Federal goal-oriented program No 02.740.11.0700 and the Black Stones hunting enterprise.