Abstract: This paper is concerned with the experimental and numerical analysis of an important class of impacting systems in applications: cam-follower devices. Experiments are reported showing the occurrence of complex dynamical scenarios in these systems including coexistence, discontinuity-induced bifurcations and chaos. The most notable phenomenon is the sudden ransition to chaos detected in the system which is shown to be due to the interruption of a complete chattering sequence. Further insight is gained by performing the numerical analysis of an appropriately derived model of the experimental set-up. Simulation, continuation and cell-to-cell mapping algorithms are used to gain a complete picture of the observed dynamics in excellent qualitative agreement with the experimental observations.

Experimental and Numerical Investigation of Coexistence, Novel Bifurcations and Chaos in a Cam-follower System / R., Alzate; DI BERNARDO, Mario; G., Giordano; G., Rea; Santini, Stefania. - In: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. - ISSN 1536-0040. - ELETTRONICO. - 8:2(2009), pp. 592-623. [10.1137/080723867]

Experimental and Numerical Investigation of Coexistence, Novel Bifurcations and Chaos in a Cam-follower System

DI BERNARDO, MARIO;SANTINI, STEFANIA
2009

Abstract

Abstract: This paper is concerned with the experimental and numerical analysis of an important class of impacting systems in applications: cam-follower devices. Experiments are reported showing the occurrence of complex dynamical scenarios in these systems including coexistence, discontinuity-induced bifurcations and chaos. The most notable phenomenon is the sudden ransition to chaos detected in the system which is shown to be due to the interruption of a complete chattering sequence. Further insight is gained by performing the numerical analysis of an appropriately derived model of the experimental set-up. Simulation, continuation and cell-to-cell mapping algorithms are used to gain a complete picture of the observed dynamics in excellent qualitative agreement with the experimental observations.
2009
Experimental and Numerical Investigation of Coexistence, Novel Bifurcations and Chaos in a Cam-follower System / R., Alzate; DI BERNARDO, Mario; G., Giordano; G., Rea; Santini, Stefania. - In: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. - ISSN 1536-0040. - ELETTRONICO. - 8:2(2009), pp. 592-623. [10.1137/080723867]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/349842
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