Symmetry restoring bifurcations and quasiperiodic chaos induced by a new intermittency in a vibro-impact system.
作者： Yuan Yue , Pengcheng Miao , Jianhua Xie , Grebogi Celso
DOI: 10.1063/1.4968552
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摘要: … intermittency have not been reported up to now. In this paper, we consider a three-degree-of-freedom vibro-impact … of the vibro-impact system, and is called the virtual Poincaré map. …
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sci-hub.se 参考文章(25)
Yuan Yue, Jianhua Xie, Lyapunov exponents and coexistence of attractors in vibro-impact systems with symmetric two-sided rigid constraints Physics Letters A. ,vol. 373, pp. 2041- 2046 ,(2009) , 10.1016/J.PHYSLETA.2009.04.009
Yves Pomeau, Paul Manneville, Intermittent transition to turbulence in dissipative dynamical systems Communications in Mathematical Physics. ,vol. 74, pp. 189- 197 ,(1980) , 10.1007/BF01197757
Ruslan L. Davidchack, Ying-Cheng Lai, Efficient algorithm for detecting unstable periodic orbits in chaotic systems Physical Review E. ,vol. 60, pp. 6172- 6175 ,(1999) , 10.1103/PHYSREVE.60.6172
Y. YUE, J. H. XIE, X. J. GAO, Capturing the Symmetry of Attractors and the Transition to Symmetric Chaos in a Vibro-Impact System International Journal of Bifurcation and Chaos. ,vol. 22, pp. 1250109- ,(2012) , 10.1142/S021812741250109X
Celso Grebogi, Edward Ott, Filipe Romeiras, James A. Yorke, Critical exponents for crisis-induced intermittency Physical Review A. ,vol. 36, pp. 5365- 5380 ,(1987) , 10.1103/PHYSREVA.36.5365
P. Chossat, M. Golubitsky, Symmetry-increasing bifurcation of chaotic attractors Physica D: Nonlinear Phenomena. ,vol. 32, pp. 423- 436 ,(1988) , 10.1016/0167-2789(88)90066-8
Joanna F. Mason, Petri T. Piiroinen, Interactions between global and grazing bifurcations in an impacting system Chaos: An Interdisciplinary Journal of Nonlinear Science. ,vol. 21, pp. 013113- ,(2011) , 10.1063/1.3551502
P.J. Holmes, The dynamics of repeated impacts with a sinusoidally vibrating table Journal of Sound and Vibration. ,vol. 84, pp. 173- 189 ,(1982) , 10.1016/S0022-460X(82)80002-3
J. -P. Eckmann, D. Ruelle, Ergodic theory of chaos and strange attractors Reviews of Modern Physics. ,vol. 57, pp. 617- 656 ,(1985) , 10.1103/REVMODPHYS.57.617
A. Ben-Tal, Symmetry restoration in a class of forced oscillators Physica D: Nonlinear Phenomena. ,vol. 171, pp. 236- 248 ,(2002) , 10.1016/S0167-2789(02)00623-1