Yuriy Tsarin - Academia.edu (original) (raw)
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CSIC (Consejo Superior de Investigaciones Científicas-Spanish National Research Council)
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Papers by Yuriy Tsarin
We study the dynamics of a pair of parametrically-driven coupled nonlinear mechanical resonators ... more 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 and nanoelectromechanical systems (MEMS & NEMS). We take advantage of the weak damping that characterizes these systems to perform a multiple-scales analysis and obtain amplitude equations, describing the slow dynamics of the system. This picture allows us to expose the existence of homoclinic orbits in the dynamics of the integrable part of the slow equations of motion. Using a version of the high-dimensional Melnikov approach, developed by Kovacic and Wiggins [Physica D, 57, 185 (1992)], we are able to obtain explicit parameter values for which these orbits persist in the full system, consisting of both Hamiltonian and non-Hamiltonian perturbations, to form so-called Shilnikov orbits, indicating a loss of integrability and the existence of chaos. Our analytical calculations of Shilnikov orbits ar...
IEEE Transactions on Aerospace and Electronic Systems, 2014
ABSTRACT The statistical properties of windblown grass and forest clutter, obtained using high-re... more ABSTRACT The statistical properties of windblown grass and forest clutter, obtained using high-resolution microwave Doppler radar, are analyzed and shown to be nonstationary. In particular, we show that the bandwidth of the Doppler signal depends linearly on the total power of the signal for both types of vegetation. Also, variations in the mean power and spectrum bandwidth of the clutter are similar to the analysis time of existing radars. The model of an adaptive moving target indication (MTI) notch filter is presented and evaluated. It is shown that adaptive filtering significantly improves the efficiency of an MTI system.
Physical Review E, Jul 18, 2011
Microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) have been attracti... more Microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) have been attracting much attention in recent years [1–3]. MEMS and NEMS resonators are typically characterized by very high frequencies, extremely small masses, and weak damping. As such, they are naturally being developed for a variety of applications such as sensing with unprecedented accuracy [4–6], and also for studying fundamental physics at small scales—exploring mesoscopic phenomena [7, 8] and even approaching quantum ...
We study the dynamics of a pair of parametrically-driven coupled nonlinear mechanical resonators ... more 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 and nanoelectromechanical systems (MEMS & NEMS). We take advantage of the weak damping that characterizes these systems to perform a multiple-scales analysis and obtain amplitude equations, describing the slow dynamics of the system. This picture allows us to expose the existence of homoclinic orbits in the dynamics of the integrable part of the slow equations of motion. Using a version of the high-dimensional Melnikov approach, developed by Kovacic and Wiggins [Physica D, 57, 185 (1992)], we are able to obtain explicit parameter values for which these orbits persist in the full system, consisting of both Hamiltonian and non-Hamiltonian perturbations, to form so-called Shilnikov orbits, indicating a loss of integrability and the existence of chaos. Our analytical calculations of Shilnikov orbits ar...
IEEE Transactions on Aerospace and Electronic Systems, 2014
ABSTRACT The statistical properties of windblown grass and forest clutter, obtained using high-re... more ABSTRACT The statistical properties of windblown grass and forest clutter, obtained using high-resolution microwave Doppler radar, are analyzed and shown to be nonstationary. In particular, we show that the bandwidth of the Doppler signal depends linearly on the total power of the signal for both types of vegetation. Also, variations in the mean power and spectrum bandwidth of the clutter are similar to the analysis time of existing radars. The model of an adaptive moving target indication (MTI) notch filter is presented and evaluated. It is shown that adaptive filtering significantly improves the efficiency of an MTI system.
Physical Review E, Jul 18, 2011
Microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) have been attracti... more Microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) have been attracting much attention in recent years [1–3]. MEMS and NEMS resonators are typically characterized by very high frequencies, extremely small masses, and weak damping. As such, they are naturally being developed for a variety of applications such as sensing with unprecedented accuracy [4–6], and also for studying fundamental physics at small scales—exploring mesoscopic phenomena [7, 8] and even approaching quantum ...