American Journal of Computational and Applied Mathematics

American Journal of Computational and Applied Mathematics is a peer-reviewed international journal. This journal publishes significant research papers from all branches of applied mathematical and computational sciences. It publishes original papers of high scientific value in all areas of computational and applied mathematics.


Matej Mencinger

Associate Professor, University of Maribor, Faculty of Civil Engineering, Slovenia

Research Areas

Nonassociative algebra, Dynamical Systems, Qualitative theory in nonlinear systems of ODEs and DDS (Stability, Center-Focus problem), Mathematical Biology

Education

1999-2013Ph.D.University of Maribor
1996-1999M.Sc.University of Maribor
1991-1996B.Sc.University of Maribor

Publications: Journals

[1]  ROMANOVSKI, Valery, MENCINGER, Matej, FERČEC, Brigita. Investigation of center manifolds of three-dimensional systems using computer algebra. Programming and computer software, ISSN 0361-7688, 2013, vol. 39, no. 2, p. 67-73
[2]  MENCINGER, Matej, KUTNJAK, Milan. The dynamics of NQ-systems in the plane. International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, Jan. 2009, vol. 19, iss. 1, p. 117-133
[3]  KUTNJAK, Milan, MENCINGER, Matej. A family of completely periodic quadratic discrete dynamical system. International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, May 2008, vol. 18, iss. 5, p. 1425-1433.
[4]  MENCINGER, Matej. On nonchaotic behaviour in quadratic systems. Nonlinear phenomena in complex systems, ISSN 1561-4085, 2006, vol. 9, no. 3, p. 283-287.
[5]  MENCINGER, Matej, ZALAR, Borut. A class of nonassociative algebras arising from quadratic ODEs. Communications in algebra, ISSN 0092-7872, 2005, vol. 33, no. 3, p. 807-828.
[6]  MENCINGER, Matej. On stability of the origin in quadratic systems of ODEs via Markus approach. Nonlinearity, ISSN 0951-7715, 2003, 16, p. 201-218.
[7]  MENCINGER, Matej. On the stability of Riccati differential equation X [dot] = TX + Q(x) in [R] [sup] n. Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 2002, vol. 45, isue 3, p. 601-615.

Publications: Conferences/Workshops/Symposiums

[1]  MENCINGER, Matej, FERČEC, Brigita. The study of isochronicity and critical period bifurcations on center manifolds of 3-dim polynomial systems using computer algebra. V: ACA 2013, Málaga, July 2nd-6th, 2013, Hotel Málaga Palacio, Málaga, Spain. GALÁN GARCÍA, José Luis (ur.). Proceedings of Applications of Computer Algebra.
[2]  FERČEC, Brigita, MENCINGER, Matej. Isochronicity of centers at a center manifold. In: ROBNIK, Marko (ed.), ROMANOVSKI, Valery (ed.). "Let's Face Chaos through Nonlinear Dynamics", (AIP conference proceedings, ISSN 0094-243X, 1468). Melville, N.Y.: American Institute of Physics, 2012, p. 148-157
[3]  MENCINGER, Matej. On algebraic approach in quadratic systems. In: 7th International Summer School/Conference at the University of Maribor, 29 June - 13 July 2008, Maribor, Slovenia. ROBNIK, Marko (ed.), ROMANOVSKI, Valery (ed.). "Let's face chaos through nonlinear dynamics", (AIP conference proceedings, ISSN 0094-243X, vol. 1076). Melville: American Institute of Physics, 2008, p. 149-153.

Publications: Books/Book Chapters

[1]  MENCINGER, Matej. Uvod v parcialne diferencialne enačbe. 1st Edition. Maribor: Faculty of Civil Engineering, 2011. IX, 203 p. ISBN 978-961-248-305-0 (in Slovene).