Results 11 to 20 of about 1,285,867 (186)
Limit cycles and conformal invariance [PDF]
Journal of High Energy Physics, 2013 Abstract There is a widely held belief that conformal field theories (CFTs) require zero beta functions. Nevertheless, the work of Jack and Osborn implies that the beta functions are not actually the quantites that decide conformality, but until recently no such behavior had been exhibited.
Fortin, Jean-François +2 more
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Limit cycles in four dimensions [PDF]
Journal of High Energy Physics, 2012 We present an example of a limit cycle, i.e., a recurrent flow-line of the beta-function vector field, in a unitary four-dimensional gauge theory. We thus prove that beta functions of four-dimensional gauge theories do not produce gradient flows. The limit cycle is established in perturbation theory with a three-loop calculation which we describe in ...
Fortin, Jean-François +2 more
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Singular potentials and limit cycles [PDF]
Physical Review A, 2001 15 pages LaTex, 5 eps figures, error in figures and text ...
Beane, S. R. +5 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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Friction generated limit cycles [PDF]
IEEE Transactions on Control Systems Technology, 2001 This paper treats limit cycles caused by friction. The goal has been to explain phenomena that have been observed experimentally in mechatronic systems. Experiments have shown that oscillations of qualitatively different types can be obtained simply by changing controller specifications. Stiction is important in some cases but not in others.
Ohlsson, Henrik, Åström, Karl Johan
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Cheap complex limit cycles [PDF]
Nonlinearity, 2018 Consider a holomorphic foliation with singularities of a 2-dimensional complex manifold. In this article we prove a new sufficient condition for this foliation to have countably many homologically independent complex limit cycles. In particular, if all leaves of a foliation are dense in the phase space, and it has a complex hyperbolic singular point ...
N Goncharuk, Yu Kudryashov
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Limit cycles of effective theories [PDF]
, 2006 A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic
F. Wegner +6 more
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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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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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Limit Cycles in Quantum Theories [PDF]
Physical Review Letters, 2002 8 pages, 1 ...
Głazek, Stanisław D. +1 more
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