Journal ArticleDOI
Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
TLDR
In this article, the authors study the dynamics of a thermo-mechanical model for a forced disc shaped, micromechanical limit cycle oscillator, and derive slow flow equations, which are then studied using the software packages AUTO and pplane7.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2007-10-01. It has received 47 citations till now. The article focuses on the topics: Limit cycle & Entrainment (chronobiology).read more
Citations
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Journal ArticleDOI
Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators
TL;DR: In this paper, the authors provide an overview of the fundamental research on nonlinear behaviors arising in micro/nanoresonators, including direct and parametric resonances, parametric amplification, impacts, selfexcited oscillations, and collective behaviors, which arise in coupled resonator arrays.
Proceedings ArticleDOI
Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators
TL;DR: In this paper, the authors provide an overview of the fundamental research on nonlinear behaviors arising in micro/nanoresonators, including direct and parametric resonances, parametric amplification, impacts, selfexcited oscillations, and collective behaviors, which arise in coupled resonator arrays.
Journal ArticleDOI
Frequency locking in a forced Mathieu–van der Pol–Duffing system
TL;DR: Aubin et al. as discussed by the authors investigated the dynamics of a Mathieu-van der Pol-Duffing equation, which is forced both parametrically and nonparametrically.
Journal ArticleDOI
Nonlinear free vibration analysis of prestressed circular cylindrical shells on the Winkler/Pasternak foundation
TL;DR: In this paper, the effects of prestressed condition and elastic foundation on natural frequencies of cylindrical shells under various boundary conditions are examined extensively in a nonlinear free vibration analysis of the shells placed on Winkler/Pasternak foundation.
Journal ArticleDOI
2:1 and 1:1 frequency-locking in fast excited van der Pol–Mathieu–Duffing oscillator
Mohamed Belhaq,Abdelhak Fahsi +1 more
TL;DR: The frequency-locking area of 2:1 and 1:1 resonances in a fast harmonically excited van der Pol-Mathieu-Duffing oscillator is studied in this article, where an averaging technique over the fast excitation is used to derive an equation governing the slow dynamic of the oscillator.
References
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Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Journal ArticleDOI
Synchronization of pulse-coupled biological oscillators
TL;DR: A simple model for synchronous firing of biological oscillators based on Peskin's model of the cardiac pacemaker is studied in this article, which consists of a population of identical integrate-and-fire oscillators, whose coupling between oscillators is pulsatile: when a given oscillator fires, it pulls the others up by a fixed amount, or brings them to the firing threshold, whichever is less.
Journal ArticleDOI
Entrainment of the Human Circadian System by Light
TL;DR: An integrated perspective on circadian entrainment in humans is provided with respect to recent advances in the authors' knowledge of circadian period and of the effects of light on the biological clock in humans.
Book Chapter
Lecture Notes on Nonlinear Vibrations
TL;DR: The online version of this work is available on an open access basis, without fees or restrictions on personal use as discussed by the authors, and a professionally printed version may be purchased through Cornell Business Services by contacting: All mass reproduction, even for educational or not-for-profit use, requires permission and license.
Journal ArticleDOI
Limit cycle oscillations in CW laser-driven NEMS
Keith L. Aubin,Maxim Zalalutdinov,Tuncay Alan,Robert B. Reichenbach,Richard H. Rand,Alan T. Zehnder,Jeevak M. Parpia,Harold G. Craighead +7 more
TL;DR: In this article, a model describing the motion and heating of NEMS devices is derived and analyzed, and conditions for the onset of limit cycle oscillations are computed as well as conditions for these oscillations to be either hysteretic or nonhystertic.