Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Giacomini, Héctor"'
Autor:
Gasull, Armengol, Giacomini, Hector
For planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve. We present a general approach to prove non existence of periodic orbits not contained in this given algebraic
Externí odkaz:
http://arxiv.org/abs/2210.15803
Autor:
Gasull, Armengol, Giacomini, Hector
We illustrate with several new applications the power and elegance of the Bendixson Dulac theorem to obtain upper bounds of the number of limit cycles for several families of planar vector fields. In some cases we propose to use a function related wi
Externí odkaz:
http://arxiv.org/abs/2101.03874
Autor:
Gasull, Armengol, Giacomini, Hector
In this work we consider a given root of a family of n-degree polynomials as a one-variable function that depends only on the independent term. Then we prove that this function satisfies several ordinary differential equations (ODE). More concretely,
Externí odkaz:
http://arxiv.org/abs/2006.09362
Publikováno v:
JCAP 1612, no 12, 037 (2016)
The growth index $\gamma$ is an interesting tool to assess the phenomenology of dark energy (DE) models, in particular of those beyond general relativity (GR). We investigate the possibility for DE models to allow for a constant $\gamma$ during the e
Externí odkaz:
http://arxiv.org/abs/1610.00363
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 curves, that enables us to prove the exis
Externí odkaz:
http://arxiv.org/abs/1602.00113
Autor:
Giacomini, Héctor, Grau, Maite
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. We present several examples of kn
Externí odkaz:
http://arxiv.org/abs/1410.4480
Autor:
Gasull, Armengol, Giacomini, Hector
During the last years the authors have studied the number of limit cycles of several families of planar vector fields. The common tool has been the use of an extended version of the celebrated Bendixson-Dulac Theorem. The aim of this work is to prese
Externí odkaz:
http://arxiv.org/abs/1305.3402
Autor:
Gasull, Armengol, Giacomini, Hector
In this paper we introduce a precise definition of algebraic traveling wave solution for general n-th order partial differential equations. All examples of explicit traveling waves known by the authors fall in this category. Our main result proves th
Externí odkaz:
http://arxiv.org/abs/1305.2775
We consider the 1-parameter family of planar quintic systems, $\dot x= y^3-x^3$, $\dot y= -x+my^5$, introduced by A. Bacciotti in 1985. It is known that it has at most one limit cycle and that it can exist only when the parameter $m$ is in $(0.36,0.6
Externí odkaz:
http://arxiv.org/abs/1304.2163
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-
Externí odkaz:
http://arxiv.org/abs/1303.2065