Kevin K Lin and Lai-Sang Young 2008 Nonlinearity 21 899 doi:10.1088/0951-7715/21/5/002
Kevin K Lin1 and Lai-Sang Young
Show affiliationsRecommended by R de la Llave
Guided by a geometric understanding developed in earlier works of Wang and Young, we carry out numerical studies of shear-induced chaos in several parallel but different situations. The settings considered include periodic kicking of limit cycles, random kicks at Poisson times and continuous-time driving by white noise. The forcing of a quasi-periodic model describing two coupled oscillators is also investigated. In all cases, positive Lyapunov exponents are found in suitable parameter ranges when the forcing is suitably directed.
05.45.Xt Synchronization; coupled oscillators
37D45 Strange attractors, chaotic dynamics
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
Issue 5 (May 2008)
Received 29 May 2007, in final form 5 February 2008
Published 26 March 2008
Kevin K Lin and Lai-Sang Young 2008 Nonlinearity 21 899
Bong-Hwan Kim et al 2007 J. Micromech. Microeng. 17 1350
F du Burck and O Lopez 2004 Meas. Sci. Technol. 15 1327
B Cockayne and D S Robertson 1964 Br. J. Appl. Phys. 15 643
John Strain and Maciej Zworski 2004 Nonlinearity 17 1607
Shuai Leng et al 2005 Phys. Med. Biol. 50 1805
J Feldhaus et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 S799
Liu Shuiping et al 2009 J. Phys.: Conf. Ser. 188 012005
Tod E Strohmayer 2002 Class. Quantum Grav. 19 1321
A Widjaja et al 2007 Modelling Simul. Mater. Sci. Eng. 15 S121