Grazing bifurcations in multibody systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 7, 1997, Pages 4475-4483

  Fredriksson, Mats H ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Discontinuity bypass mapping; Grazing bifurcation; Grazing impact; Stability of a grazing orbit; Vibro impact models

Indexed keywords

EID: 0043046839     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00105-8     Document Type: Article

References (7)

1. NORDMARK A. B., Non-periodic motion caused by grazing incidence in an impact oscillator, Journal of Sound and Vibration, 145(2), 279-297 (1991).
2. CHIN W., OTT E., NUSSE H. E. & GREBOGI C., Grazing bifurcations in impact oscillators, Physical Review E, 50(6), 4427-4444 (1994).
3. BUDD C. & DUX F., Intermittency in impact oscillators close to resonance, Nonlinearity, 7, 1191-1224 (1994).
4. FREDRIKSSON M. H. & NORDMARK A. B., Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators, Submitted for publication.
5. NORDMARK A. B., A universal limit mapping in grazing bifurcations, Submitted for publication.
6. NUSSE H. E., OTT E. & YORKE J. A., Border-collision bifurcations: A possible explanation for observed bifurcation phenomena, Physical Review E, 49(2), 1073-1076 (1994).
7. LAMBA H. & BUDD C. J., Scaling of Lyapunov exponents at nonsmooth bifurcations, Physical Review E, 50(1), 84-90 (1994).