Non-monotone period functions for impact oscillators.
Invariant tori for periodically perturbed oscillators.
The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system on the torus. In particular, the perturbed solutions in the basin of attraction of the invariant torus are...
Line Integration of Ricci Curvature and Conjugate Points in Lorentzian and Riemannian Manifolds.
Gradient-Like and Integrable Vector Fields on IR2.
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