Stable periodic motion of a delayed spring

Hans-Otto Walther

DOI: http://dx.doi.org/10.12775/TMNA.2003.001

Abstract


It is shown that an autonomous delay
differential system for a damped spring with a delayed restoring force has a
periodic solution
whose orbit is exponentially stable with
asymptotic phase.

Keywords


Autonomous delay differential equations; stable periodic orbit; asymptotic phase; damped spring; delayed restoring force

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