Grazing bifurcations in impact oscillators
Chin, Wai ; Ott, Edward ; Nusse, Helena E. ; Grebogi, Celso
HAL, hal-01386141 / Harvested from HAL
Text on HAL
Impact oscillators demonstrate interesting dynamical features. In particular, new types of bifurca-tions take place as such systems evolve from a nonimpacting to an impacting state (or vice versa), as a system parameter varies smoothly. These bifurcations are called grazing bifurcations. In this paper we analyze the different types of grazing bifurcations that can occur in a simple sinusoidally forced oscilla-tor system in the presence of friction and a hard wall with which the impacts take place. The general picture we obtain exemplifies universal features that are predicted to occur in a wide variety of impact oscillator systems
Publié le : 1994-07-04
Classification:  [MATH]Mathematics [math],  [SPI]Engineering Sciences [physics],  [SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] 
@article{hal-01386141,
     author = {Chin, Wai and Ott, Edward and Nusse, Helena E. and Grebogi, Celso},
     title = {Grazing bifurcations in impact oscillators},
     journal = {HAL},
     volume = {1994},
     number = {0},
     year = {1994},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01386141}
}

Chin, Wai; Ott, Edward; Nusse, Helena E.; Grebogi, Celso. Grazing bifurcations in impact oscillators. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-01386141/