نتایج جستجو برای: hilberts 16th problem

تعداد نتایج: 884250  

2000
Valery A. Gaiko

Two-dimensional polynomial dynamical systems are mainly considered. We develop Erugin’s two-isocline method for the global analysis of such systems, construct canonical systems with field-rotation parameters and study various limit cycle bifurcations. In particular, we show how to carry out the classification of separatrix cycles and consider the most complicated limit cycle bifurcation: the bi...

2002
Keith De'Bell John Whitehead

In a wide variety of physical systems cooperative phenomena resulting from interactions at the atomic or molecular levels give rise to structures on mesoscopic to macroscopic length scales. The problem of calculating the properties of such systems from simulations based on mathematical models is computationally intense because of the range of length scales and length of time that must be includ...

Journal: :I. J. Bifurcation and Chaos 2006
Sharon Wang Pei Yu Jibin Li

In this paper, we consider the weakened Hilbert’s 16th problem for symmetric planar perturbed polynomial Hamiltonian systems. In particular, a perturbed Hamiltonian polynomial vector field of degree 9 is studied, and an example of Z10-equivariant planar perturbed Hamiltonian systems is constructed. With maximal number of closed orbits, it gives rise to different configurations of limit cycles. ...

Journal: :I. J. Bifurcation and Chaos 2004
Maoan Han Tonghua Zhang Hong Zang

A part of the well-known Hilbert’s 16th problem is to consider the existence of maximal number of limit cycles for a general planar polynomial system. In general, this is a very difficult question and it has been studied by many mathematicians (see e.g. [Bautin, 1952; Zhang et al., 2004]). By [Ye, 1986] we know that there exists a quadratic system having four limit cycles. [Bautin, 1952] proved...

Journal: :Electronic Proceedings in Theoretical Computer Science 2013

Journal: :Pathophysiology of Haemostasis and Thrombosis 2000

Journal: :British Journal of Ophthalmology 1948

Journal: :TRENDS IN THE SCIENCES 1999

Journal: :Journal of Family Planning and Reproductive Health Care 2006

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