Abstract
Bifurcations of dynamic systems may be affected in a variety of ways if the parameter that controls the bifurcation is varied slowly. The variation may alter, delay, or eliminate the bifurcation, introduce new types of bifurcation, or change stability regions. The variation may be imposed deliberately to control the response of the system. Typical applications include passage through critical speeds of machines, through laser threshold values, chemical reactions with a degrading catalyst, bursting oscillations and control. Here we consider sinusoidal variation through a period-doubling bifurcation.
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© 1999 Springer Science+Business Media Dordrecht
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Davies, H.G. (1999). Sinusoidally Varying Period-Doubling Bifurcations. In: Moon, F.C. (eds) IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. Solid Mechanics and its Applications, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5320-1_3
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DOI: https://doi.org/10.1007/978-94-011-5320-1_3
Publisher Name: Springer, Dordrecht
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