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Dynamics of relay relaxation oscillators

IEEE Transactions on Automatic Control, 2001
Summary: Relaxation oscillators can usually be represented as a feedback system with hysteresis. The relay relaxation oscillator consists of relay hysteresis and a linear system in feedback. The objective of this work is to study the existence of periodic orbits and the dynamics of coupled relay oscillators.
Subbarao Varigonda, Tryphon T. Georgiou
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On the dynamics of the Rayleigh–Duffing oscillator

Nonlinear Analysis: Real World Applications, 2019
Consider the planar system \[ \frac{dx}{dt}= y,\quad \frac{dy}{dt}=-ax-2bxy-x^3-y^3. \] The authors prove that this system \begin{itemize} \item[(i)] has no global analytic first integrals, \item[(ii)] has no Darboux polynomials, \item[(iii)] is not Darboux integrable, \item[(iv)] is not Liouville integrable, \item[(v)] does not have any center neither
Jaume Giné, Claudia Valls
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Dynamics of saccadic oscillations

2008
The brainstem circuitry underlying saccades is symmetrical with respect to the midline. The oculomotor behaviour generated by the circuitry depends on a combination of signals passed along fibre tracts and less easily identifiable connections, such as those across the midline.
Richard A, Clement   +2 more
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Dynamical structures of a photorefractive oscillator

Physical Review A, 1996
Using a photorefractive oscillator (PRO) with a stable resonator, we investigate patterns produced from the transverse mode families of order 0-3. The phenomena observed include vortices which move along circular or spiral trajectories and vortices which periodically change the sign of their topological charge. In addition, we observe behavior which is
, Malos, , Vaupel, , Staliunas, , Weiss
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Global Dynamics of Memristor Oscillator

International Journal of Bifurcation and Chaos, 2016
In this paper, we investigate the global dynamics of a memristor oscillator [Formula: see text] which comes from [Corinto et al., 2011], where [Formula: see text], and [Formula: see text]. Clearly, the case [Formula: see text] is trivial. So far, all results of this oscillator were given only for the case [Formula: see text], where the set of ...
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Nonlinear dynamics in nanomechanical oscillators

2005 International Conference on MEMS,NANO and Smart Systems, 2005
In the present work we investigate nonlinear dynamics in a nanomechanical doubly clamped beam made of PdAu fabricated using bulk nanomachining and e-beam lithography. The beam is driven into nonlinear regime of oscillations and the response is measured by an electron beam displacement detector. In one set of experiments we study the impact of nonlinear
Stav Zaitsev   +3 more
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Dynamics of a relay oscillator with hysteresis

2007 46th IEEE Conference on Decision and Control, 2007
The dynamics of a hysteretic relay oscillator with sinusoidal forcing is studied in this paper. Periodic excitation gives rise to periodic, quasiperiodic and chaotic responses. A Poincare map is introduced to facilitate mathematical analysis. Conditions on the amplitude and frequency of the forcing for the existence of periodic solutions have been ...
Tamás Kalmár-Nagy, Pankaj Wahi
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Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators

Doklady Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum dynamics of the parametric oscillator

Physical Review A, 1991
We present dynamical calculations for the quantum parametric oscillator using both number-state and coherent-state bases. The coherent-state methods use the positive-P representation, which has a nonclassical phase space an essential requirement in obtaining an exact stochastic representation of this nonlinear problem.
Kinsler P., Drummond P.D.
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Stochastic Dynamics of Impact Oscillators

Journal of Applied Mechanics, 2004
Abstract The purpose of this work is to develop an averaging approach to study the dynamics of a vibro-impact system excited by random perturbations. As a prototype, we consider a noisy single-degree-of-freedom equation with both positive and negative stiffness and achieve a model reduction, i.e., the development of rigorous methods to ...
Namachchivaya, N. Sri, Park, Jun H.
openaire   +2 more sources

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