Abstract
Ideas from graph theory are used to systematically uncover all possible periodic orbits in piecewise continuous mechanical systems of arbitrary dimension. The method is illustrated by its application to one low dimensional system (a confined rocking block) and to one high dimensional system (a heat exchanger). In the latter case the number of possible periodic orbits is shown to be a Fibonacci sequence in the system dimension.
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References
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Hogan, S.J., Homer, M.E. (1999). A Method for Finding all Possible Periodic Orbits in Piecewise Continuous Mechanical Systems of Arbitrary Dimension. 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_28
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DOI: https://doi.org/10.1007/978-94-011-5320-1_28
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