Results 291 to 300 of about 233,435 (334)

Fredholm Toeplitz Operators and Slow Oscillation

Canadian Journal of Mathematics, 1980
The purpose of this paper is to show how Fred hoi m criteria for Toeplitz operators, whose symbols lie in an algebra,A, may often be generalized to cover a larger symbol algebra generated by A and SO, the slowly oscillating functions. Mere A and SO are algebras of continuous functions on the real line, so that we are concerned principally with the ...
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Large relaxation oscillation in slow–fast excitable Brusselator oscillator

Nonlinear Analysis: Real World Applications
Geometric singular perturbation theory, recently developed from the nonlinear invariant manifold theory, is powerful in the analysis of singularly perturbed / multi-scale problems, particularly, when the critical manifold is normally hyperbolic. However, for some cases as mentioned in the work, the critical manifold loses its normal hyperbolicity, and ...
Zhong, Liyan, Shen, Jianhe
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Relaxation Oscillations in a Nonsmooth Oscillator with Slow-Varying External Excitation

International Journal of Bifurcation and Chaos, 2019
The main purpose of the paper is to explore the influence of the coupling of two scales on the dynamics of a nonsmooth dynamical system. Based on a typical Chua’s circuit, by introducing a nonlinear resistor with piecewise characteristics as well as a harmonically changed electric source, a modified nonsmooth model is established, in which the ...
Zhixiang Wang, Zhengdi Zhang, Qinsheng Bi   +2 more
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Slow light using excitonic population oscillation

Physical Review B, 2004
We develop a theoretical model for slow light using excitonic population oscillation in a semiconductor quantum well. In a two-level system, if the resonant pump and the signal have a difference frequency within the range of inverse of the carrier lifetime, coherent population beating at this frequency will be generated.
Shu-Wei Chang, Shun-Lien Chuang, Pei-Cheng Ku, Connie Chang-Hasnian, Phedon Palinginis, Hailin Wang   +5 more
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Slow nonlinear oscillations in a circular well

Journal of Fluid Mechanics, 2004
The period $T$ of the Helmholtz mode in a circular well that is bounded above by a free surface and below by a semi-infinite reservoir is determined in terms of elliptic integrals. It is shown that $T$ decreases monotonically with increasing amplitude $A$ and is within 1% (10%) of the linear limit $T_0$ for $A{/}h_0\,{<}\,0.4(1.0)$, where $h_0$ is ...
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Slow Wave Resonator based tunable oscillators

2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS) Proceedings, 2011
Demands for high-speed multimedia data communications increasing telescopically, pushing wireless transmission data rate with 2Gbps or higher. In these highspeed data communication systems, the bit error rate (BER) characteristic is dependent on a phase noise performance of the VCO.
Ajay K. Poddar, Ulrich L. Rohde
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Slow oscillations of dispersion-managed solitons

Physical Review A, 2010
In dispersion-managed fibers, soliton-like solutions with periodically recurring shapes exist. These so called dispersion-managed solitons are relevant for fiber-optic telecommunication. In this article we address their behavior when there is deviation from the stationary solution, which is accompanied by the excitation of a long-lived periodic ...
H. Hartwig, M. Böhm, A. Hause, F. Mitschke   +3 more
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Slow oscillations anticipate interictal epileptic discharges

Clinical Neurophysiology, 2022
Laurent Sheybani, Serge Vulliemoz
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Slow Intermuscular Oscillations are Associated with Cocontraction Steadiness

Medicine & Science in Sports & Exercise, 2017
Voluntary muscle contraction often involves low-frequency correlated neural oscillations across muscles, which may degrade steady cocontraction between antagonistic muscles with distinct levels of activation per each muscle (unbalanced cocontraction).
Nayef E, Ahmar, Minoru, Shinohara
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On slow oscillations in coupled wells

Journal of Fluid Mechanics, 2002
The eigenvalue problem for slow oscillations of a liquid in a set of N cylindrical wells that are bounded above by free surfaces and below by a common, semi-infinite reservoir is formulated on the assumption that the depth of the wells is large compared with their width, so that the lowest mode in each well, for which the fluid moves as a rigid
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