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YOHANNA PAULINA MANCILLA MARTINEZ

Profesora Asistente

Universidad del Bío-Bío

Concepción, Chile

Teoría cualitativa; Ecuaciones Diferenciales Ordinarias, Sistemas Dinámicos.

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

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

Postdoctorate Position Full Time

Centre de Recerca Matematica

Barcelona, España

2018 - 2019

Fondecyt Iniciación F11230544


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 LotkaâVolterra Systems in R3 Llibre, J.; MartÃƒÂnez Y.P. Article ISI SCOPUS Acta Applicandae Mathematicae (2020)
Dynamics of a family of LotkaâVolterra systems in R3 Llibre, J.; MartÃƒÂnez 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.; MartÃƒÂnez 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.; MartÃƒÂnez 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 MartÃƒÂnez 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

Jose Vidal

Full Professor

Mathematics

UNIVERSIDAD DEL BIO BIO

Concepcion, Chile

Francisco Crespo

Asistente A

Departamento de matemáticas

Universidad del Bío-Bío

Concepción, Chile

Jaime Andrade

Profesor

Departamento de Matemática

Universidad del Bío-Bío

Concepción, Chile

YOHANNA MANCILLA

Profesora Asistente

Matemática

Universidad del Bío-Bío

Concepción, Chile

YOHANNA PAULINA MANCILLA MARTINEZ

Líneas de Investigación

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

Docente Other

Docente Full Time

Experiencia Profesional

Postdoctorate Position Full Time

Formación de Capital Humano

Article (19)

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

On the dynamics of the Muthuswamy-Chua systems in R3

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

Dynamics of a Competitive LotkaâVolterra Systems in R3

Dynamics of a family of LotkaâVolterra systems in R3

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

Limit cycles bifurcating of Kolmogorov systems in R2 and in R3

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

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

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

( )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)

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

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

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

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

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

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

On the global dynamics and integrability of the Chemostat system

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

Jose Vidal

Francisco Crespo

Jaime Andrade

YOHANNA MANCILLA