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YOHANNA PAULINA MANCILLA MARTINEZ

Profesora Asistente

Universidad del Bío-Bío

Concepción, Chile

Líneas de Investigación


Teoría cualitativa; Ecuaciones Diferenciales Ordinarias, Sistemas Dinámicos.

Educación

  •  Matemática, UNIVERSIDAD DEL BIO-BIO. Chile, 2018
  •  Matemática Aplicada, UNIVERSIDAD DEL BIO-BIO. Chile, 2014
  •  Profesor de ens. media en Matemática, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2009
  •  Licenciatura en Matemática, UNIVERSIDAD DE CONCEPCION. Chile, 2008
  •  Licenciada en Educación, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2009

Experiencia Académica

  •   Profesor Other

    UNIVERSIDAD DEL BIO-BIO

    Ciencias

    Concepcion, Chile

    2012 - 2013

  •   Docente Other

    Ciencias

    Concepción, Chile

    2017 - 2018

  •   Docente Full Time

    Colegio Felmer Niklitschek

    Puerto Varas, Chile

    2010 - 2011

  •   Docente/Investigadora Full Time

    Universidad del Bío-Bío

    Ciencias

    Concepción, Chile

    2020 - A la fecha

Experiencia Profesional

  •   Postdoctorate Position Full Time

    Centre de Recerca Matematica

    Barcelona, España

    2018 - 2019

Formación de Capital Humano


Fondecyt Iniciación F11230544


Difusión y Transferencia


Presidenta Comité Organizador JMZS 2026
Organizadora sesión Edo y Aplicaciones, SOMACHI 2025
Organizadora Sesión EDO, SOMACHI 2024



 

Article (19)

Hopf bifurcation in Kolmogorov systems of degree 4 in R<SUP>2</SUP> and R<SUP>3</SUP>

Llibre, J.; Mancilla-Martinez, Y. P.

Article ISI
JOURNAL OF MATHEMATICAL PHYSICS  (2025)

On the dynamics of the Muthuswamy-Chua systems in R3

Mancilla-Martínez, YP; Llibre, J.; Valls C.

Article ISI SCOPUS
Chaos  (2025)

Global Attractor in the Positive Quadrant of the Lotka-Volterra System in R2

Llibre, J.; Mancilla-Martínez, YP

Article ISI SCOPUS
International Journal of Bifurcation and Chaos  (2023)

Dynamics of a Competitive Lotka–Volterra Systems in R3

Llibre, J.; Martínez Y.P.

Article ISI SCOPUS
Acta Applicandae Mathematicae  (2020)

Dynamics of a family of Lotka–Volterra systems in R3

Llibre, J.; Martínez Y.P.

Article ISI SCOPUS
Nonlinear Analysis, Theory, Methods and Applications  (2020)

Global dynamics of a Lotka-Volterra system in Double-struck capital R<SUP>3</SUP>

Llibre, Jaume; Paulina Martinez, Y.; Valls, Claudia

Article ISI
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS  (2020)

Limit cycles bifurcating of Kolmogorov systems in R2 and in R3

Llibre, J.; Martínez Y.P.; Valls C.

Article ISI SCOPUS
Communications in Nonlinear Science and Numerical Simulation  (2020)

Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin

Llibre, J.; Martínez P.; Vidal, C

Article ISI SCOPUS
Canadian Mathematical Bulletin  (2020)

McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature



Article ISI SCOPUS
Qualitative Theory of Dynamical Systems  (2020)

On the global dynamics of a three-dimensional forced-damped differential system

Llibre, J.; Paulina Martínez Y.; Valls C.

Article ISI SCOPUS
Journal of Nonlinear Mathematical Physics  (2020)

( )PHASE PORTRAITS OF LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH HAMILTONIAN FUNCTION OF DEGREE 5 OF THE FORM H = H-1(x) plus H-2(y)



Article ISI SCOPUS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  (2019)

LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH NONLINEARITIES OF DEGREE 4 SYMMETRIC WITH RESPECT TO THE Y-AXIS

Martinez, YP

Article ISI SCOPUS
Discrete and Continuous Dynamical Systems - Series B  (2018)

Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential

Martinez, YP

Article ISI SCOPUS
JOURNAL OF DIFFERENTIAL EQUATIONS  (2016)

Algebraic and Topological Classification of Homogeneous Quartic Vector Fields in the Plane



Article
Submitted  

Dynamics of a competitive Lotka-Volterra systems in R^3



Article
Submitted  

Dynamics of a family of Lotka-Volterra systems in R^3



Article
Submitted  

Limit cycles of a perturbation of a polynomial hamiltonian systems of degree 4 symmetric with respect to y-axis



Article
Submitted  

On the global dynamics and integrability of the Chemostat system



Article
Pre-print  

On the global dynamics of a three-dimensional forced damped differential system

Valls, Claudia

Article
Submitted  

1
Jose Vidal

Full Professor

Mathematics

UNIVERSIDAD DEL BIO BIO

Concepcion, Chile

1
Francisco Crespo

Asistente A

Departamento de matemáticas

Universidad del Bío-Bío

Concepción, Chile

1
Jaime Andrade

Profesor

Departamento de Matemática

Universidad del Bío-Bío

Concepción, Chile

19
YOHANNA MANCILLA

Profesora Asistente

Matemática

Universidad del Bío-Bío

Concepción, Chile