- 05-306 Michele V. Bartuccelli, Jonathan H.B. Deane, Guido Gentile, Luke Marsh
- Invariant sets for the varactor equation
(1537K, pdf)
Sep 8, 05
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Abstract. The differential equation $\ddot{x} + \gamma \dot{x} + x^\mu = f(t)$
with $f(t)$ positive, periodic and continuous is studied.
After describing some physical applications of this equation,
we construct a variety of invariant sets for it, thereby partitioning
the phase plane into regions in which solutions grow without bound
and also those in which bounded periodic solutions exist.
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