Primitivo Belen Acosta-Humanez

 

Publications

 

 

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. DIFFERENTIAL ALGEBRA, COMPLEX ANALYSIS AND ORTHOGONAL POLYNOMIALS (With Francisco Marcellán), Vol. 509 of Contemp. Math. AMS, 2010.

 

  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. NON-INTEGRABILITY OF SOME FEW BODY PROBLEMS IN TWO DEGREES OF FREEDOM. (With Martha Alvarez and Joaquín Delgado) Qualitative Theory of Dynamical Systems. II, 2010. More information.

 

  1. NON-AUTONOMOUS HAMILTONIAN SYSTEMS AND MORALES-RAMIS THEORY. THE CASE $\ddot x=f(x,t)$. SIAM International Journal in Applied Dynamical Systems. Vol. 8, 2009. More information.

 

 

  1. ON HAMILTONIAN POTENTIALS WITH QUARTIC POLYNOMIAL NORMAL VARIATIONAL EQUATIONS. (With David Blázquez-Sanz and Camilo Vargas Contreras) Nonlinear Studies, Vol. 16, 2009. More information.

 

 

  1. HAMILTONIAN SYSTEMS AND VARIATIONAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS. (With David Blázquez-Sanz). Proceedings of Dynamic Systems and Application 5, Atlanta 2008. More information.

 

 

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

 

 

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

 

 

  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.

 

 

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

 

 

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

 

 

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

 

 

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

 

Preprints