Results 1 to 10 of about 366,422 (303)
Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García +3 more
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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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Two Nested Limit Cycles in Two-Species Reactions
Mathematics, 2020 We search for limit cycles in the dynamical model of two-species chemical reactions that contain seven reaction rate coefficients as parameters and at least one third-order reaction step, that is, the induced kinetic differential equation of the reaction
Ilona Nagy +2 more
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Polynomial differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
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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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Third Order Melnikov Functions of a Cubic Center under Cubic Perturbations
Mathematics, 2022 In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered. Some useful formulae are deduced that can be used to compute the first three Melnikov functions associated with the perturbed system.
Yanwei Liu, Tonghua Zhang, Xia Liu
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Limit cycles in a Kolmogorov-type model
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper, a Kolmogorov-type model, which includes the Gause-type model (Kuang and Freedman, 1988), the general predator-prey model (Huang 1988, Huang and Merrill 1989), and many other specialized models, is studied.
Xun-Cheng Huang
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