Explicit non-algebraic limit cycles for polynomial systems
Journal of Computational and Applied Mathematics, 2007 We consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y), where P_n(x,y), Q_n(x,y) and R_m(x,y) are homogeneous polynomials of degrees n, n and m, respectively, with n<=m. We prove that this system has at most one limit cycle and that when it exists it can be explicitly found.
Gasull, A. +2 more
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A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Various physical, ecological, economic, etc phenomena are governed by planar differential systems. Sub- sequently, several research studies are interested in the study of limit cycles because of their interest in the understanding of these systems. The aim of this paper is to investigate a class of quintic Kolmogorov systems, namely systems of the form
Bendjeddou, Ahmed, Grazem, Mohamed
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Non-algebraic oscillations for predator-prey models [PDF]
, 2014 We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non ...
Ferragut, Antoni +1 more
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Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In this paper, we deal with the discontinuous piecewise differential linear systems formed by two differential systems separated by a straight line when one of these two differential systems is a linear without equilibria and the other is a linear center.
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Landscapes of Non-gradient Dynamics Without Detailed Balance: Stable Limit Cycles and Multiple Attractors [PDF]
, 2012 Landscape is one of the key notions in literature on biological processes and physics of complex systems with both deterministic and stochastic dynamics.
Ge, Hao, Qian, Hong
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The rigid limit in Special Kahler geometry; From K3-fibrations to Special Riemann surfaces: a detailed case study [PDF]
, 1998 The limiting procedure of special Kahler manifolds to their rigid limit is studied for moduli spaces of Calabi-Yau manifolds in the neighbourhood of certain singularities.
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Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry [PDF]
, 2011 We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the off-shell ...
Alim, Murad +5 more
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A Mathematical Framework for Agent Based Models of Complex Biological Networks [PDF]
, 2010 Agent-based modeling and simulation is a useful method to study biological phenomena in a wide range of fields, from molecular biology to ecology. Since there is currently no agreed-upon standard way to specify such models it is not always easy to use ...
A. S. Jarrah +17 more
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Geometry of Spectral Curves and All Order Dispersive Integrable System [PDF]
, 2012 We propose a definition for a Tau function and a spinor kernel (closely related to Baker-Akhiezer functions), where times parametrize slow (of order 1/N) deformations of an algebraic plane curve.
Borot, Gaëtan, Eynard, Bertrand
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Nonlinear analysis of spacecraft thermal models [PDF]
, 2010 We study the differential equations of lumped-parameter models of spacecraft thermal control. Firstly, we consider a satellite model consisting of two isothermal parts (nodes): an outer part that absorbs heat from the environment as radiation of various ...
A. Berman +23 more
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