Homoclinic bifurcation and chaos control in MEMS resonators
نویسندگان
چکیده
منابع مشابه
Chaos Analysis and Control in AFM and MEMS Resonators
For years, chaotic phenomena have been mainly studied from a theoretical point of view. In the last two decades, considerable developments have occurred in the control, prediction and observation of chaotic behaviour in a wide variety of dynamical systems, and a large number of applications have been discovered and reported (Moon & Holmes, 1999; Endo & Chua, 1991; Kennedy, 1993). Chaotic behavi...
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We study the dynamics of a pair of parametrically driven coupled nonlinear mechanical resonators of the kind that is typically encountered in applications involving microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS). We take advantage of the weak damping that characterizes these systems to perform a multiple-scales analysis and obtain amplitude equations, describing ...
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Homoclinic chaos is characterized by regular geometric orbits occurring at erratic times. Phase synchronization at the average repetition frequency is achieved by a tiny periodic modulation of a control parameter. An experiment has been carried on a CO(2) laser with feedback, set in a parameter range where homoclinic chaos occurs. Any offset of the modulation frequency from the average induces ...
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An rf superconducting quantum interference device (SQUID) consists of a superconducting ring interrupted by a Josephson junction (JJ). The induced supercurrents around the ring are determined by the JJ through the celebrated Josephson relations. We study the dynamics of a pair of parametrically-driven coupled SQUIDs lying on the same plane with their axes in parallel. The drive is through the a...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2011
ISSN: 0307-904X
DOI: 10.1016/j.apm.2011.05.021