Abstract
This paper describes new results in the dynamics of driven oscillators, focusing on the stability problem of the systems with several equilibrium positions. Early it was found that in such systems as the twinwell potential Duffing system, systems with piecewise linear restoring forces, the forced pendulum system and others, there are such parameter regions when oscillations between two bottoms of the potential well are stable. In this paper we shall describe a new nonlinear phenomenon when these oscillations are global stable ones. It is common situation that chaotic global stable hilltop at tractors also exist in the systems under consideration.
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References
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© 1999 Springer Science+Business Media Dordrecht
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Zakrzhevsky, M. (1999). Global Stable Oscillations Near Unstable Equilibrium Positions: The Hilltop Effect. 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_13
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DOI: https://doi.org/10.1007/978-94-011-5320-1_13
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