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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).