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pro vyhledávání: '"Pantazi, Chara"'
Autor:
Mañosa, Víctor, Pantazi, Chara
In this work we investigate the set of cubic Hamiltonian vector fields for which their associated Kahan-Hirota-Kimura maps preserve the original Hamiltonian function. We analyze these fields in $\mathbb{R}^2$ and $\mathbb{R}^4$. We also study a famil
Externí odkaz:
http://arxiv.org/abs/2405.01321
We consider a three dimensional complex polynomial, or rational, vector field (equivalently, a two-form in three variables) which admits a Liouvillian first integral. We prove that there exists a first integral whose differential is the product of a
Externí odkaz:
http://arxiv.org/abs/2310.20451
Autor:
Llibre, Jaume, Pantazi, Chara
Publikováno v:
In Journal of Differential Equations 5 June 2024 393:155-173
We deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dynamics in the Poincar\'e disc, obtaining $15$ different topological pha
Externí odkaz:
http://arxiv.org/abs/2001.02565
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincar\'e from dimension two to dimension three. Suc
Externí odkaz:
http://arxiv.org/abs/1907.12536
We study a necessary condition for the integrability of the polynomials fields in the plane by means of the differential Galois theory. More concretely, by means of the variational equations around a particular solution it is obtained a necessary con
Externí odkaz:
http://arxiv.org/abs/1707.04446
Akademický článek
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Autor:
Pantazi, Chara
Publikováno v:
TDX (Tesis Doctorals en Xarxa).
Externí odkaz:
http://hdl.handle.net/10803/3083
Publikováno v:
In Journal of Differential Equations 5 October 2019 267(8):4572-4588
There are many works studying the integrability of the Bianchi class A cosmologies with k=1. Here we characterize the analytic integrability of the Bianchi class A cosmological models when 0<= k<1.
Externí odkaz:
http://arxiv.org/abs/1207.4997