Results 11 to 20 of about 6,898 (176)
Linearizability conditions of quasi-cubic systems
In this paper we study the linearizability problem of the two-dimensional complex quasi-cubic system $\dot{z}=z+(zw)^{d}(a_{30}z^{3}+a_{21}z^{2}w+a_{12}zw^2+a_{03}w^{3}),~\dot{w}=-w-(zw)^{d}(b_{30}w^{3}+b_{21}w^{2}z+b_{12}wz^2+b_{03}z^{3})$, where $z, w,
Wentao Huang, Xingyu Fan, Xingwu Chen
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Linearization of Isochronous Centers
The authors propose a unified technique for the study of the isochronicity of polynomial systems. They first construct the linearizing changes of coordinates for isochronous systems having rational first integrals, namely for quadratic systems, for cubic systems symmetric with respect to a center and for reduced Kukles systems.
Mardesic, P., Rousseau, C., Toni, B.
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Centers and isochronous centers for generalized quintic systems
Agraïments: The first author is partially supported by FEDER-UNAB10-4E-378. The third author has been supported by FCT (grant PTDC/MAT/117106/2010 and through CAMGSDgrant number PEst-OE/EEI/LA0009/2013) In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d ≥ 5 odd that incomplex ...
Jaume Giné, Jaume Llibre, Claudia Valls
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Tephrostratigraphy of Jurassic-Cretaceous boundary beds of Western Siberia
The age of tuffaceous interlayers, represented by tuffs and tuffites, which are common in the Upper Jurassic-Lower Cretaceous deposits of Western Siberia (the Bazhenovo, Tutleim and Frolov Formations), is discussed.
Panchenko Ivan Vladimirovich +4 more
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Uniform isochronous cubic and quartic centers: Revisited
In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.
Artés Ferragud, Joan Carles +2 more
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Phase Portraits of Uniform Isochronous Centers with Homogeneous Nonlinearities [PDF]
We classify the phase portraits in the Poincaré disc of the differential equations of the form x' = - y + xf(x, y), ẏ = x + yf(x, y) where f(x,y) is a homogeneous polynomial of degree n - 1 when n = 2, 3, 4, 5, and f has only simple zeroes. We also provide some general results on these uniform isochronous centers for all n ≥ 2.
Llibre, Jaume, Valls, Claudia
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On Chouikha's isochronicity criterion [PDF]
Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation $x"+g(x)=0$, where $g$ is a real smooth function defined in some neighborhood of $0 \in \R$. We describe another proof of his characterization and
Strelcyn, Jean-Marie
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On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems
We study the number of limit cycles for the quadratic polynomial differential systems x˙=-y+x2, y˙=x+xy having an isochronous center with continuous and discontinuous cubic polynomial perturbations.
Ziguo Jiang
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Significance of functional organization of settlements for development of primary rural settlements in the City of Zaječar [PDF]
The aim of this paper is determination of the City of Zaječar settlements' functional organization characteristics significant for development of primary rural settlements on this territory.
Popović Vladimir
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Alta Floresta Gold Province occurs in the center-south portion of the Amazon Craton. Trairão gold deposit, which is located in the Alta Floresta Gold Province, is hosted by 1878 to 1854 Ma arc-related granites. Two important Au deposits take place in the
Mara Luiza Barros Pita Rocha +7 more
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