Home > Search Results: García-Saldaña, Johanna D.
  Search Tips
Simple Search
Search collections:
Sort by: Display results: Output format:
UAB Digital Repository of Documents 14 records found  1 - 10next  jump to record: Search took 0.02 seconds. 
1.
21 p, 392.8 KB A new approach for the study of limit cycles / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre national de la recherche scientifique (França). Institut Denis Poisson)
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solutions defined on a given interval of a new associated planar non-autonomous polynomial system or as heteroclinic solutions of a 3-dimensional polynomial system. [...]
2020 - 10.1016/j.jde.2020.04.038
Journal of differential equations, Vol. 269, Issue 7 (September 2020) , p. 6269-6292  
Detailed record - Creative Commons
2.
14 p, 298.1 KB Nilpotent global centers of linear systems with cubic homogeneous nonlinearities / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
In this paper, we characterize the global nilpotent centers of polynomial differential systems of the linear form plus cubic homogeneous terms.
2020 - 10.1142/S0218127420500108
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 1 (January 2020) , art. 2050010  
Detailed record -
3.
28 p, 837.2 KB Phase portraits of Abel quadratic differential systems of second kind with symmetries / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We provide normal forms and the global phase portraits on the Poincaré disk of the Abel quadratic differential equations of the second kind having a symmetry with respect to an axis or to the origin. [...]
2019 - 10.1080/14689367.2018.1530732
Dynamical Systems, Vol. 34, Issue 2 (2019) , p. 301-333  
Detailed record -
4.
18 p, 299.1 KB Linear type global centers of linear systems with cubic homogeneous nonlinearities / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
A center p of a differential system in R2 is global if R2\ { p} is filled of periodic orbits. It is known that a polynomial differential system of degree 2 has no global centers. Here we characterize the global centers of the differential systems x˙=ax+by+P3(x,y),y˙=cx+dy+Q3(x,y),with P3 and Q3 homogeneous polynomials of degree 3, and such that the center has purely imaginary eigenvalues, i. [...]
2019 - 10.1007/s12215-019-00433-0
Rendiconti del Circolo Matematico di Palermo, vol. 69 (July 2019) p. 771-785  
Detailed record -
5.
4 p, 262.6 KB On the Homoclinic Orbits of the Lü System / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción (Xile). Departamento de Matemática y Física Aplicadas)
In this paper, the existence of homoclinic orbits of the equilibrium point (0, 0, 0) is demonstrated in the case of the Lu ̈ system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.
2017 - 10.1142/S0218127417500705
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750070  
Detailed record -
6.
13 p, 358.8 KB Detection of special curves via the double resultant / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; García-Saldaña, Johanna Denise (Universidad de Talca (Xile). Instituto de Matemática y Física) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.
2017 - 10.1007/s12346-015-0180-x
Qualitative theory of dynamical systems, Vol. 16 (2017) , p. 101-117  
Detailed record -
7.
11 p, 1.1 MB Weak periodic solutions of x x 1 = 0 and the Harmonic balance method / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Abstract. We prove that the differential equation x''x 1 = 0 has continuous weak periodic solutions and compute their periods. Then, we use the Harmonic Balance Method until order six to approximate these periods and to illustrate how the accuracy of the method increases with the order. [...]
2017
Journal of physics, Vol. 811 (2017) , p. 12003  
Detailed record -
8.
27 p, 1007.0 KB Bifurcation diagram and stability for a one-parameter family of planar vector fields / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours(France). Laboratoire de Mathématiques et Physique Théorique)
We consider the 1-parameter family of planar quintic systems, ˙x = y3−x3, y˙ = −x + my5, 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. [...]
2014 - 10.1016/j.jmaa.2013.11.047
Journal of mathematical analysis and applications, Vol. 413 (2014) , p. 321-342  
Detailed record -
9.
17 p, 381.0 KB A theoretical basis for the Harmonic Balance method / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Harmonic Balance method provides a heuristic approach for finding truncated Fourier series as an approximation to the periodic solutions of ordinary differential equations. Another natural way for obtaining these type of approximations consists in applying numerical methods. [...]
2013 - 10.1016/j.jde.2012.09.011
Journal of differential equations, Vol. 254 Núm. 1 (2013) , p. 67-80  
Detailed record -
10.
33 p, 1.1 MB Bifurcation values for a familiy of planar vector fields of degree five / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours (France). Laboratoire de Mathématiques et Physique Théorique)
We study the number of limit cycles and the bifurcation diagram in the Poincar' sphere of a one-parameter family of planar differential equations of degree e ˙ five x = Xb (x) which has been already considered in previous papers. [...]
2015 - 10.3934/dcds.2015.35.669
Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 2 (2015) , p. 669-701  
Detailed record -

UAB Digital Repository of Documents : 14 records found   1 - 10next  jump to record:
Interested in being notified about new results for this query?
Set up a personal email alert or subscribe to the RSS feed.
UAB Digital Repository of Documents :: Search :: Submit :: Personalize :: Help
Powered by Invenio v1.1.6
Maintained by ddd.bib@uab.cat  :: Metadata license:
Working with