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Bifurcation sequences of a Coulomb friction oscillator (1993)

Feeny, B. F. ; Moon, F. C.

Springer

Nonlinear dynamics 4 (1993), S. 25-37

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ISSN: 1573-269X

Keywords: Bifurcations ; chaos ; Coulomb friction ; universality

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In some parameter ranges, the dynamics of a forced oscillator with Coulomb friction dependent on both displacement and velocity is reducible to the dynamics of a one-dimensional map. In numerical simulations, period-doubling bifurcations are observed for the oscillator. In this bifurcation procedure, the map arising from the Coulomb model may not have ‘standard’ form. The bifurcation sequence of the Coulomb model is compared to that of the standard one-dimensional maps to see if it exhibits ‘universal’ behavior. All observed components of the bifurcation sequence fit the universal sequence, although some universal events are not witnessed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00047119

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