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Article Contents

# Unbounded sequences of cycles in general autonomous equations with periodic nonlinearities

• Autonomous higher order differential equations with scalarnonlinearities, periodic with respect to the main phasevariable under appropriate generic conditions, have an infinitesequence of isolated cycles with amplitudes growing to infinityand periods converging to some specific value $T_{0}$.
Mathematics Subject Classification: Primary: 34C15, 34C25; Secondary: 93C15.

 Citation:

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