Experimental study on the blowout bifurcation route to strange nonchaotic attractor

Citation
Yh. Yu et al., Experimental study on the blowout bifurcation route to strange nonchaotic attractor, J KOR PHYS, 34(2), 1999, pp. 130-134
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
ISSN journal
03744884 → ACNP
Volume
34
Issue
2
Year of publication
1999
Pages
130 - 134
Database
ISI
SICI code
0374-4884(199902)34:2<130:ESOTBB>2.0.ZU;2-B
Abstract
Based on the measurement on an anlog nonlinear oscillator circuit, two dist inct dynamical phenomena, a strange nonchaotic attractor (SNA) and on-off i ntermittency, have been investigated in a dissipative and nonlinear system driven by two periodic external forces whose frequencies are incommensurate . Our result shows that the blowout bifurcation that destabilizes the invar iant subspace is closely related to the SNA and that the loss of the transv erse stablity of the torus can lead to the birth of the SNA because the on- off intermittency occurs in a quasiperiodically driven dynamical system, as numerically presented by Yalcinkaya and Lai [T. Yalcinkaya and Y. C. Lai, Phys. Rev. Lett. 77, 5039 (1996).].