Man

Jose Claudio Vidal Diaz

Full Professor

UNIVERSIDAD DEL BIO BIO

Concepcion, Chile

Líneas de Investigación


Dynamical systems. Ordinary differential and difference equations. Hamiltonian dynamical systems. Celestial Mechanics. Functional difference equations.

Educación

  •  Mathematics, Universidad de Talca. Chile, 1987
  •  Mathematics, Universidade Federal de Pernambuco. Brasil, 1992
  •  Mathematics, Universidade Federal de Pernambuco. Chile, 1996

Experiencia Académica

  •   Visitant professor Full Time

    Universidade Federal de Pernambuco

    Science

    Recife, Brasil

    1996 - 1998

  •   Associated prfessor Full Time

    Universidade Federal de Pernambuco

    Science

    Recife, Chile

    1998 - 2006

Experiencia Profesional

  •   Associated Professor Full Time

    Universidade Federal de Pernambuco

    Recife, Brasil

    1998 - 2006

  •   Visitant professor Full Time

    Universidade Federal de Pernambuco

    Recife, Brasil

    1997 - 1998

Formación de Capital Humano


Director of Postdoctoral stage:

• Dr. Edmundo Mansilla, Universidad de Magallanes, julio a noviembre de 2009. Proyecto de investigación ''Estabilidad de soluciones de equilibrio en sistemas Hamiltonianos en los caso criticos''.

• Dr. Marcelo Marchesin, Universidade Federal de Minas Gerais, marzo a agosto de 2011. Proyecto de investigación ''Dinámica en problemas restringidos de 5 cuerpos''.

• Dr. Angelo Alberti, Universidade Federal de Sergipe-UFS, agosto de 2015 a septiembre de 2016. Proyecto de investigación en ''Dinámica de problemas de atracción de una partícula de masa infinitesimal por un cuerpo macizo, existencia de soluciones periódicas siméricas en sistemas Hamiltonianos, transversalidad''.

Director of thesis of PhD student in Mathematics:

Carlinda Azevedo, Dinamica do problema do fio circular homog\^eneo}, 30 de junio de 2003. Depto. Matematica, UFPE, Brasil.

Fabio dos Santos, Estabilidade de solucoes de equilibrio de sistemas Hamiltonianos autonomos e periodicos, 22 de mayo de 2007. Depto. Matematica, UFPE,
Brasil.

Lucia de Fatima Medeiros, O problema restrito dos tres corpos eliptico com colisao, 22 de mayo de 2007. Depto. Matematica, UFPE, Brasil.

Angelo Alberti, Dinamica de uma particula infinitesimal ao redor de corpos na forma de anel ou disco, 22 de mayo de 2007. Depto. Matematica, UFPE, Brasil.

Director of thesis of Master student in Mathematics:

Marcelo Huenchucona, 2010, Modelo de depredador-presa y el efecto de la estructura de edades, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Jhon Vidarte, 2012, Estabilidad de soluciones en Sistemas Hamiltonianos y aplicaciones, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Cristian Carcamo, 2012, Estabilidad de Soluciones de equilibrio en Ecuaciones en Diferencias y Aplicaciones a Sistemas Hamiltonianos Discretos, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Jaime Andrade, 2013, Dinámica en el problema de N-vórtices en el plano y en la esfera, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Victor Carrasco, 2014, Sistemas de depredador-presa y el efecto de las estructuras de edades con preferencia alimentaria, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

José Hormazabal, 2014, Configuraciones centrales en el problema de N-cuerpos con potenciales gravitacionales, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Yohanna Martínez, 2014, Dinámica de campos Hamiltonianos racionales, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Efrain Nova, 2014, Estabilidad de soluciones de equilibrio de sistemas Hamiltonianos asumiendo la existencia de resonancias, Magíster en Matemática con Menciones; Mención Matemática Aplicada, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Daniela Cárcamo, 2015, Estabilidad de soluciones de equilibrio de sistemas Hamiltonianos bajo la existencia de resonancias múltiples, Magíster en Matemática con Menciones; Mención Matemática, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Néstor Davila, 2015, Regularización del problema de Kepler y del problema restringido circular de 3-cuerpos sobre la S^2 y en H^2, Magíster en Matemática con Menciones; Mención Matemática, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Felipe Cisterna, 2015, Problema restringido circular de tres cuerpos sobre la esfera y el hiperboloide, Magíster en Matemática con Menciones; Mención Matemática, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Mauricio Ascencio, 2015, Dinámica global de campos polinomiales semi-homogéneos y aplicaciones, Magíster en Matemática con Menciones; Mención Matemática, Departamento de Matemática, Universidad del Bío-Bío, Chile.

Rodrigo Gutiérrez, 2017, Estabilidad de soluciones de equilibrio en sistemas Hamiltonianos en casos críticos y aplicaciones, Magíster en Matemática con Menciones; Mención Matemática, Departamento de Matemática, Universidad del Bío-Bío, Chile.


Premios y Distinciones

  •   Premio Excelencia en Investigacio-UBB

    UNIVERSIDAD DEL BIO-BIO

    Chile, 2014

    Premio concursable que entrega la UBB a los investigadores destacados, y que una comision decide el ganador.


 

Article (127)

Dynamics of Axially Symmetric Perturbed Hamiltonians in 1:1:1 Resonance
Exponential stability criteria for systems with multiple time delays
LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH NONLINEARITIES OF DEGREE 4 SYMMETRIC WITH RESPECT TO THE Y-AXIS
Stability of equilibrium solutions of Hamiltonian systems with n -degrees of freedom and single resonance in the critical case
Stability of the Polar Equilibria in a Restricted Three-Body Problem on the Sphere
The restricted three body problem on surfaces of constant curvature
Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws
Dynamics and Chaos in the Elliptic Isosceles Restricted Three-Body Problem with Collision
Periodic solutions and KAM tori in a triaxial potential
CLASSIFICATION OF GLOBAL PHASE PORTRAITS AND BIFURCATION DIAGRAMS OF HAMILTONIAN SYSTEMS WITH RATIONAL POTENTIAL
Dynamics of restricted three and four vortices problem on the plane
Dynamics of restricted three and four vortices problem on the plane
First kind symmetric periodic solutions of the generalized van der Waals Hamiltonian
HOPF PERIODIC ORBITS FOR A RATIO{DEPENDENT PREDATOR-PREY MODEL WITH STAGE STRUCTURE
Periodic solutions of symmetric Kepler perturbations and applications
Stability of the equilibrium solutions in a charged restricted circular three-body problem
Stability of the equilibrium solutions in a charged restricted circular three-body problem
A Global Regularization for the (N+1)-Body Problem with the Primaries in a Regular N-gon Central Configuration
A Global Regularization for the (N+1)-Body Problem with the Primaries in a Regular N-gon Central Configuration
Dynamics and Chaos in the Elliptic Isosceles Restricted Three-Body Problem with Collision
New families of symmetric periodic solutions of the spatial anisotropic Manev problem
New families of symmetric periodic solutions of the spatial anisotropic Manev problem
On a planar circular restricted charged three-body problem
On a planar circular restricted charged three-body problem
Periodic Solutions of a Periodic FitzHugh-Nagumo System
Stability and global dynamic of a stage-structured predator-prey model with group defense mechanism of the prey
Stability and global dynamic of a stage-structured predator-prey model with group defense mechanism of the prey
Stability of Equilibrium Solutions in Planar Hamiltonian Difference Systems
Stability of Equilibrium Solutions in Planar Hamiltonian Difference Systems
Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances
Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances
The trapezoidal collinear four-body problem
Zero-Hopf bifurcation in the FitzHugh-Nagumo system
Zero-Hopf bifurcation in the FitzHugh-Nagumo system
Dynamics of Mechanical Systems with Polynomial Potentials
Dynamics of mechanical systems with the polynomial potentials
Global Dynamics of the Kummer-Schwarz Differential Equation
Global Dynamics of the Kummer-Schwarz Differential Equation
Global Regularization of a Restricted Four-Body Problem
Global Regularization of a Restricted Four-Body Problem
New 1:1:1 periodic solutions in -dimensional galactic-type Hamiltonian systems
New 1:1:1 periodic solutions in 3-dimensional galactic-type Hamiltonian systems
Periodic orbits associated to Hamiltonian functions of degree four
Periodic orbits associated to Hamiltonian functions of degree four
Stability of the Planar Equilibrium Solutions of a Restricted 1 + N Body Problem
Stability of the Planar Equilibrium Solutions of a Restricted 1+N Body Problem
Behavior of the binary collision in a planar restricted (N+1)-body problem
Behavior of the binary collision in a planar restricted (N+1)-body problem
On Co-Circular Central Configurations in the Four and Five Body-Problems for Homogeneous Force Law
On Co-Circular Central Configurations in the Four and Five Body-Problems for Homogeneous Force Law
Periodic Solutions, Stability and Non-Integrability in a Generalized Henon-Heiles Hamiltonian System
Periodic Solutions, Stability and Non-Integrability in a Generalized Henon-Heiles Hamiltonian System
Quasiperiodic Collision Solutions in the Spatial Isosceles Three-Body Problem with Rotating Axis of Symmetry
Quasiperiodic Collision Solutions in the Spatial Isosceles Three-Body Problem with Rotating Axis of Symmetry
Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions
Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions
Stability in a rhomboidal 5-body problem with generalized central forces
Stability in a rhomboidal 5-body problem with generalized central forces
Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom
Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom
Bounded and periodic solutions in retarded difference equations using summable dichotomies
BOUNDED AND PERIODIC SOLUTIONS IN RETARDED DIFFERENCE EQUATIONS USING SUMMABLE DICHOTOMIES
Geometric interpretation for the spectral stability in the charged three-body problem
Geometric interpretation for the spectral stability in the charged three-body problem
Periodic orbits and non-integrability in a cosmological scalar field
Periodic orbits and non-integrability in a cosmological scalar field
The Chetaev Theorem for Ordinary Difference Equations
The Chetaev Theorem for Ordinary Difference Equations
Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space
Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space
Dynamics aspects in a galactic type Hamiltonian
Dynamics aspects in a galactic type Hamiltonian
Restricted rhomboidal five-body problem
Restricted rhomboidal five-body problem
Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision
Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision
SINGULARITIES IN THE GRAVITATIONAL ATTRACTION PROBLEM DUE TO MASSIVE BODIES
SINGULARITIES IN THE GRAVITATIONAL ATTRACTION PROBLEM DUE TO MASSIVE BODIES
Stability of Equilibrium Solutions of Autonomous and Periodic Hamiltonian Systems with n-Degrees of Freedom in the Case of Single Resonance
Stability of Equilibrium Solutions of Autonomous and Periodic Hamiltonian Systems with n-Degrees of Freedom in the Case of Single Resonance
Weighted exponential trichotomy of di?erence equations and asymptotic behavior for nonlinear systems
Weighted exponential trichotomy of difference equations and asymptotic behavior for nonlinear systems
Dynamical Aspects of an Equilateral Restricted Four-Body Problem
Dynamical Aspects of an Equilateral Restricted Four-Body Problem
Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces
Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces
On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax (4) + cx (2) y (2)
On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax (4) + cx (2) y (2)
Periodic solutions of the elliptic isosceles restricted three-body problem with collision by the averaging method
Regularization of restricted 3-body problems
The Flow on negative energy of mechanical systems with homogeneous polynomial potentials
The flow on negative energy of mechanical systems with homogeneous polynomial potentials
The restricted planar isosceles three-body problem with non-negative energy
The restricted planar isosceles three-body problem with non-negative energy
Periodic solutions of the elliptic isosceles restricted three-body problem with collision
Periodic solutions of the elliptic isosceles restricted three-body problem with collision
Periodic solutions of the elliptic isosceles restricted three-body problem with collision
Stability of equilibrium solutions of Hamiltonian systems
Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case
Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case
Weighted exponential trichotomy of linear difference equations
Weighted exponential trichotomy of linear difference equations
Dynamics of a particle in a gravitational field of a homogeneous annulus disk
Dynamics of a particle in a gravitational field of a homogeneous annulus disk
On the dynamics of mechanical systems with homogeneous polynomial potentials of degree 4
On the dynamics of mechanical systems with homogeneous polynomial potentials of degree 4
PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
PERIODIC SOLUTIONS IN THE SINGULAR LOGARITHMIC POTENTIAL
Symmetry of the restricted 4+1 body problem with equal masses
Symmetry of the restricted 4+1 body problem with equal masses
A note on discrete maximal regularity for functional difference equations with infinite delay
Periodic Solutions of symmetric perturbations of Gravitacional potentials
Stability of equilibrium positions of periodic Hamiltonian systems under third and fourth order resonances
Homographic solutions in the n-body problem
The flow of classical mechanical with cubic potential systems
An extension of Poincaré compactification and geometric interpretation
The binary Collision and the infinity in the tetraedral 4-body problem
Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space
Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space
Global Dynamics of mechanical systems with cubic potencials
Periodic Solutions for any planar symmetric pertubation of the Kepler problem
Periodic Solutions of symmetric pertubations of the Kepler problem
A Aurora da mecânica Celeste
The Tetraedral 4-Body Problem
The Tetraedral 4-Body Problem with Rotation
Colisoes binárias no problema tetraedral simétrico com rotacao
Dynamics and regularization of the Kepler problem on surfaces of constant curvature

Proyecto (5)

Grupo de Investigación Consolidado de Sistemas Dinámicos y Aplicaciones-GISDA
Methods and Applications in Hamiltonian systems-MAPSH
Normalization and dynamics in Hamiltonian systems and applications
SIDIHAM-Hamiltonian Dynamical Systems, Celestial Mechanics, Weak KAM Theory
SIDIMEC-Hamiltonian Dynamics Systems and Celestial Mechanics
67
Jose Vidal

Full Professor

Mathematics

UNIVERSIDAD DEL BIO BIO

Concepcion, Chile

4
Jhon Vidarte

Académico

Matemática y Física Aplicadas

Universidad Católica de la Santisima Concepción

Concepción, Chile

4
Dante Carrasco

Docente

Matemática

UNIVERSIDAD DEL BÍO-BÍO

Concepción, Chile

3
Jaime Andrade

Profesor

Departamento de Matemática

Universidad del Bío-Bío

Concepción, Chile

3
Claudio Cuevas

associated professor

Mathematics

Universidade Federal de Pernambuco

Recife, Brasil

1
Marco Uribe

Docente

Matemática y Física Aplicadas

UNIVERSIDAD CATÓLICA DE LA SSMA. CONCEPCIÓN

Concepción, Chile

1
Yohanna Paulina Martinez

Postdoctorate student

Centre de Recerca Matemàtica

Barcelona, España