## Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity.(English)Zbl 0963.34034

From the introduction: The results deal with the stability of large cycles where Hopf bifurcation at infinity occurs. Here, the authors develop a new method to study both existence and stability of large cycles for systems with nonsmooth nonlinearities, asymptotically homogeneous at infinity. The method combines the parameter functionalization technique and methods of monotone concave operators.

### MSC:

 34D05 Asymptotic properties of solutions to ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34C23 Bifurcation theory for ordinary differential equations
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### References:

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