Results 21 to 30 of about 1,285,867 (186)
Variational approach to a class of nonlinear oscillators with several limit cycles [PDF]
, 2001 We study limit cycles of nonlinear oscillators described by the equation $\ddot x + \nu F(\dot x) + x =0$. Depending on the nonlinearity this equation may exhibit different number of limit cycles.
A. A. Andronov +25 more
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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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Transversal conics and the existence of limit cycles [PDF]
, 2014 This paper deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincar\'e--Bendixson regions by using transversal conics.
Giacomini, Héctor, Grau, Maite
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Uniqueness of limit cycles for quadratic vector fields [PDF]
, 2019 Producción CientíficaThis article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as x ′ = a1x − y − a3x 2 + (2a2 + a5)xy+a6y 2 , y ′ = x ...
Bravo, José Luis +3 more
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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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Quantum heat engines: limit cycles and exceptional points [PDF]
, 2018 We show that the inability of a quantum Otto cycle to reach a limit cycle is connected with the propagator of the cycle being non-compact. For a working fluid consisting of quantum harmonic oscillators, the transition point in parameter space where this ...
Andresen, Bjarne +3 more
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Fifteen Limit Cycles Bifurcating from a Perturbed Cubic Center
Discrete Dynamics in Nature and Society, 2021 In this work, we study the bifurcation of limit cycles from the period annulus surrounding the origin of a class of cubic polynomial differential systems; when they are perturbed inside the class of all polynomial differential systems of degree six, we ...
Amor Menaceur +3 more
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Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
Cubo, 2021 We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models with generalized rational functional response, any algebraic solution should be a rational function. As a consequence, limit cycles, which
Homero G. Díaz-Marín, Osvaldo Osuna
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The Astrophysical JournalAbstract Enceladus exhibits some remarkable phenomena, including water geysers spraying through surface cracks, a global ice shell that is librating atop an ocean, a large luminosity, and rapid outward orbital migration. Here, we model the coupled evolution of Enceladus’s orbit and interior structure.
Peter Goldreich +2 more
openaire +2 more sources