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Cost-effectiveness analysis of mepolizumab among patients with severe asthma from the Chinese societal perspective. [PDF]

PLoS One
Shi C, Wang Y, Tan C, Zeng X, Liu Q.
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Loci of limit cycles

Physical Review E, 1994
A recent method of Delamotte [Phys. Rev. Lett. 70, 3361 (1993)] for obtaining approximate analytic expressions for the loci of limit cycles in one variable is applied to coupled nonlinear first-order rate equations in several variables, the typical case for most models based on chemical kinetics.
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Limit Cycles in Random Environments

SIAM Journal on Applied Mathematics, 1977
We analyze simple predator-prey models in stochastic environments by a perturbational approach near bifurcating regimes. We obtain the stationary probability distribution for the radial variable, even when the system is on a limit cycle. The basic technique involves an adaptation of the method of averaging to take account of random fluctuations.
Lin, Juan, Kahn, Peter B.
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Limit Cycles in the Josephson Equation

SIAM Journal on Mathematical Analysis, 1986
The paper deals with the Josephson equation \[ (1.1)\quad \beta d^ 2\Phi /d\tau^ 2+(1+\gamma \cos \Phi)d\Phi /d\tau +\sin \Phi =\alpha, \] where \(\Phi \in S^ 1\), \(\alpha\),\(\beta\),\(\gamma\in {\mathbb{R}}\). Supposing that \(\epsilon =\beta^{-1/2}\) is a small positive parameter and putting \(\alpha =\epsilon a\), \(\tau =\epsilon t\), the ...
Sanders, Jan A., Cushman, Richard
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Bifurcation of limit cycles at the equator

Applied Mathematics and Computation, 2009
The authors consider a system of order seven given by \[ x'(t) = \sum_{k=0}^{3} X_{k}(x,y) + X_{5}(x,y) + (-y + \delta x)(x^{2} + y^{2})^{3} \] \[ y'(t) = \sum_{k=0}^{3} Y_{k}(x,y) + Y_{5}(x,y) + (x + \delta y)(x^{2} + y^{2})^{3} \] where all coefficients are real numbers.
Qi Zhang 0052, Zhengquan Zhao, Weihua Gui 0001   +2 more
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Limit Cycles in a MEMS Oscillator

IEEE Transactions on Circuits and Systems II: Express Briefs, 2008
In this paper, we apply methods of nonlinear dynamics to study the behavior of a microelectromechanical oscillator. We show how the analysis predicts the appearance of a devil's staircase-like relationship between frequencies, but also show how the output frequency of the oscillator, and hence the devil's staircase, may not be uniquely determined. Both
Alexey Teplinsky, Orla Feely
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Identification of systems with limit cycles

Proceedings of the 2003 American Control Conference, 2003., 2004
Limit cycle oscillations occur in a wide range of electrical, mechanical, and aerospace applications. In this paper we present a method for constructing system models that are able to reproduce a periodic signal as a limiting trajectory. Our approach is based on continuous-time modeling of a scalar nth-order system whose dynamics are represented as a ...
Seth L. Lacy, Dennis S. Bernstein
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Algebraic Limit Cycles

International Journal of Bifurcation and Chaos
In the qualitative theory of differential equations in the plane [Formula: see text], one of the most difficult objects to study is the existence of limit cycles. Here, we summarize some results and open problems on the algebraic limit cycles of the planar polynomial differential systems.
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ON THE UNIQUENESS OF LIMIT CYCLES IN BUSINESS CYCLE THEORY

Metroeconomica, 1986
Abstract. The paper investigates sufficient conditions for the uniqueness of limit cycles in standard business cycle theory. The application of the Levinson/Smith theorem to the generalized Liénard equation reveals that these sufficient yet not necessary conditions usually imply that the uniqueness of limit cycles in, e.g., the Kaldor‐model or the ...
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