Higher order branching of periodic orbits from polynomial isochrones.
Higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach.
Hoptf bifurcation from infinity for planar control systems.
Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For such systems, sufficient and necessary conditions for bifurcation of a limit cycle from the periodic orbit at infinity are given.