Results 11 to 20 of about 350,644 (263)
On limit cycles of autonomous systems
Современная математика: Фундаментальные направленияWe consider the problem of the existence of limit cycles for autonomous systems of differential equations. We present quite elementary considerations that can be useful in discussing qualitative issues that arise in the course of ordinary differential ...
T. M. Ivanova +3 more
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Chemical Systems with Limit Cycles. [PDF]
Bull Math Biol, 2023 AbstractThe dynamics of a chemical reaction network (CRN) is often modeled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial right-hand sides that describe the time evolution of concentrations of chemical species involved. Given an arbitrarily large integer $$K \in {\mathbb N}$$
Erban R, Kang HW.
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The Cell Cycle is a Limit Cycle [PDF]
Mathematical Modelling of Natural Phenomena, 2012 Progression along the successive phases of the mammalian cell cycle is driven by a network of cyclin-dependent kinases (Cdks). This network is regulated by a variety of negative and positive feedback loops. We previously proposed a detailed, 39-variable model for the Cdk network and showed that it is capable of temporal self-organization in the form of
Gérard, Claude, Goldbeter, Albert
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Pomeranchuk 100, 2014 In this review we consider the concept of limit cycles in the renormalization group flows. The examples of this phenomena in the quantum mechanics and field theory will be presented.
Bulycheva, K., Gorsky, A.
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CoRR, 2022 The iterative weight update for the AdaBoost machine learning algorithm may be realized as a dynamical map on a probability simplex. When learning a low-dimensional data set this algorithm has a tendency towards cycling behavior, which is the topic of this paper.
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LIMIT CYCLE AND CONSERVED DYNAMICS [PDF]
International Journal of Modern Physics B, 2006 We demonstrate here that the potential can coexist with limit cycle in nonlinear dissipative dynamics, where the potential plays the driving role for dynamics and determines the final steady state distribution in a manner similar to other situations in physics.
Zhu, X.-M., Yin, L., Ao, P.
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Limit Cycles in Quantum Theories [PDF]
Physical Review Letters, 2002 8 pages, 1 ...
Głazek, Stanisław D. +1 more
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Universal tetramer limit cycle at the unitarity limit
Physical Review A, 2023 We demonstrate that a four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. The model interaction contains two-, three- and four-body short-range potentials, which disentangle the interwoven three- and four-boson cycles, for the universal trimer and tetramer energy levels, respectively.
Tobias Frederico, Mario Gattobigio
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Synchronization of Coupled Limit Cycles [PDF]
Journal of Nonlinear Science, 2011 Journal of Nonlinear Science ...
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On the approximation of the limit cycles function
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We consider planar vector fields depending on a real parameter. It is assumed that this vector field has a family of limit cycles which can be described by means of the limit cycles function $l$.
L. Cherkas, A. Grin, Klaus Schneider
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