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Section 1
On loss of stability of slow motions in stiff oscillatory systems
Article first published online: 24 NOV 2004
DOI: 10.1002/pamm.200410024
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
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How to Cite
Gusenkova, A., Steindl, A. and Troger, H. (2004), On loss of stability of slow motions in stiff oscillatory systems. Proc. Appl. Math. Mech., 4: 85–86. doi: 10.1002/pamm.200410024
Publication History
- Issue published online: 24 NOV 2004
- Article first published online: 24 NOV 2004
- Abstract
- References
- Cited By
Abstract
In stiff oscillatory systems often a reduction of the order of the system is possible by splitting the motion into an essential motion on a nearby slow manifold and neglecting the fast motion. However, if the system is conservative the question of stability of the slow motion is a delicate problem. For various spring pendulum systems we, first, perform numerical simulations showing that if the stiffness of the springs is gradually reduced the slow motion looses stability. For a single spring pendulum we give an explanation of this loss of stability. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)