Primitivo Belen Acosta-Humanez

Technical University of Catalonia

Department MA II

 

Publications

 

Dissertations

 

DIHEDRAL GROUPS AND (p,q) GROUPS. Bachelor dissertation in mathematics, Universidad Sergio Arboleda, Bogotá 2003. More information.

 

 

Books

 

  1. ALGEBRA I: FOUNDATIONS AND GROUP THEORY. (Spanish) (With Jairo Charris and Bernarda Aldana). Colección Academia Colombiana de Ciencias, Bogota 2005. More information.

 

 

  1.  LEARN PLAYING AND PLAY LEARNING: ELEMENTARY MATHEMATICS. (Spanish) Primy Math Ediciones, Bogotá 1998. More information.

 

 

  1. MATHEMATICS I: Vol  7. (Spanish) Coruniversitec, Bogotá 1998. More information.

 

 

Editor

 

 

  1. DANCE RTNS LECTURE NOTES Vol 1 (With Amadeu Delshams and Lluis Alsedá)

 

 

  1. DANCE RTNS LECTURE NOTES Vol 2 (With Amadeu Delshams and Lluis Alsedá)

 

 

  1. DANCE RTNS LECTURE NOTES Vol 3 (With Amadeu Delshams and Lluis Alsedá)

 

 

  1. LECTURE NOTES OF FIRST INTEGRABILITY SEMINAR AT TECHNICAL UNIVERSITY OF CATALONIA. (Spanish).

 

 

  1. CIVILIZAR SPECIAL ISSUE IN MATHEMATICS. (Spanish)

 

 

  1. SECOND SEMINAR OF MATHEMATICS AND AFFINES SCIENCES IN TECNOLÓGICO INESPRO - PROCEEDINGS. (Spanish).

 

 

  1. FIRST SEMINAR OF MATHEMATICS AND AFFINE SCIENCES IN TECNOLÓGICO INESPRO - PROCEEDINGS. (Spanish).

 

 

Papers

 

 

  1. GENEALOGY OF SIMPLE PERMUTATIONS WITH ORDER A POWER OF TWO. (Spanish) Revista Colombiana de Matemáticas, Vol 1, 2008. More information.

 

 

  1. NON-INTEGRABILITY OF SOME HAMILTONIANS WITH RATIONAL POTENTIALS. (With David Blázquez-Sanz) Discrete and Continuous Dynamical Systems Series B, Vol 10, 2008. More information

 

 

  1. DIFFERENTIAL GALOIS THEORY: AN APPROACH. (Spanish) (With Jesús Hernando Pérez Alcázar). Revista Matemáticas: Enseñanza Universitaria, Vol XV, 2007. More information.

 

 

  1. MORALES - RAMIS THEORY AND KOVACIC ALGORITHM. (Spanish) Lecturas matemáticas Volumen Especial, Bogotá 2006. More information.

 

 

  1. DYNAMICAL SYSTEMS AND GALOIS THEORY. (With Juan Morales-Ruiz, David Blázquez-Sanz and Sergi Simón). Forum FME 2006. More information.

 

 

  1. AN INTRODUCTION TO DIFFERENTIAL GALOIS THEORY. (Spanish) (With Jesús Hernando Pérez Alcázar). Boletín de Matemáticas, Universidad Nacional de Colombia, Bogotá 2004. More information.

 

 

  1. AN APPLICATION OF FUNCTIONAL ANALYSIS IN A PREDATOR - PREY SYSTEM. Proceedings of Dynamic Systems and Application 4, Atlanta 2004. More information.

 

 

  1. ON SECOND ORDER LINEAR DIFFERENTIAL EQUATION AND KOVACIC ALGORITHM. (Spanish) Civilizar, Edición Especial de Matemáticas, Bogotá 2004. More information.

 

 

  1. SEQUENCES OF POLYNOMIAL ROOTS. (Spanish) Civilizar, Bogotá 2004. More information.

 

 

  1. THE PASTING OPERATOR AND THE SQUARE OF NATURAL NUMBERS. (Spanish) Civilizar, Bogotá 2003. More information.

 

 

  1. ISOMORPHISM THEOREMS IN DIHEDRAL GROUPS. (Spanish) Lecturas matemáticas vol 24, Bogotá 2003. More information.

 

 

12. A MODEL OF CAPTURE WITH TOWERS AND ITERATED EXPONENTIALS. (Spanish) Integración, Bucaramanga 2001. More information.

 

 

13.  SOME REGULARITY IN ARITHMETICAL SEQUENCES. (Spanish) Notas de Matemáticas y Estadística, No 39, Bogotá 1999. More information.

 

 

14.  SOME PROPERTIES OF ARITHMETICAL SEQUENCES. (Spanish) Revista Muzangá, No 2, Bogotá 1999. More information.

 

 

15.  COSTEAN LAW. (Spanish) Proceedings First national meeting of students of mathematics, Popayán 1991. More information.

 

Preprints

 

  1. NON-AUTONOMOUS HAMILTONIAN SYSTEMS AND MORALES-RAMIS THEORY. Submitted tol SIAM International Journal in Applied Dynamical Systems. More Information

 

 

  1. ON HAMILTONIAN POTENTIALS WITH CUARTIC POLYNOMIAL NORMAL VARIATIONAL EQUATIONS. (With David Blázquez-Sanz and Camilo Vargas Contreras) Submitted to Journal of Dynamic Systems and Applications. More information

 

 

  1. SOME HOMOMORPHISMS IN DYSCRETE DYNAMICAL SYSTEMS. Submitted to Divulgaciones Matemáticas. More information

 

 

  1. HAMILTONIAN SYSTEMS AND VARIATIONAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS. (With David Blázquez-Sanz). Submitted to proceedings de ICDSA V. More information.

 

 

  1.  A METHOD TO OBTAIN EXACTS SQUARE ROOTS. (Spanish) (With Angie Marcela Acosta Maldonado). Submitted to Memorias del Encuentro de Geometría 2007. More information.

 

 

  1. AN INVERSE PROBLEM IN MORALES – RAMIS THEORY. (Spanish) Submitted to Memorias del Encuentro de Geometría 2007. More information.