Results 1 to 10 of about 1,292,705 (285)
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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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.Comment: 35 pages, 3 figures; Contribution to the "Pomeranchuk-100 ...
Bulycheva, K., Gorsky, A.
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Limit cycles and chaos in the hybrid atom-optomechanics system [PDF]
Scientific Reports, 2022 We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force.
Xingran Xu +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.
A Pickering +28 more
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LIMIT CYCLES CAN REDUCE THE WIDTH OF THE HABITABLE ZONE. [PDF]
Astrophys J, 2016 The liquid water habitable zone (HZ) describes the orbital distance at which a terrestrial planet can maintain above-freezing conditions through regulation by the carbonate-silicate cycle.
Haqq-Misra J +4 more
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Limit Cycles and Conformal Invariance [PDF]
Journal of High Energy Physics, 2012 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 ...
A Cappelli +15 more
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Singular Potentials and Limit Cycles [PDF]
Physical Review A, 2000 We show that a central $1/r^n$ singular potential (with $n\geq 2$) is renormalized by a one-parameter square-well counterterm; low-energy observables are made independent of the square-well width by adjusting the square-well strength.
A. Kryjevski +20 more
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Isochronous families of limit cycles
Electronic Journal of Differential Equations, 2018 In this article we present a method for determining if the frequency of a family of periodic orbits remains constant when a parameter changes. Two-dimensional systems of ordinary and delayed differential equations are considered.
Romina Cobiaga, Walter Reartes
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The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
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Rational limit cycles of Abel differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We study the number of rational limit cycles of the Abel equation $x'=A(t)x^3+B(t)x^2$, where $A(t)$ and $B(t)$ are real trigonometric polynomials. We show that this number is at most the degree of $A(t)$ plus one.
José Luis Bravo +2 more
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