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Office : Department of Mathematical Sciences, Isfahan University of Technology Email : mgazor@iut.ac.ir Phone : +98 31 33913634 Fax : +98 31 33912600 Web Site : Professor M. Gazor

Department of Mathematical Sciences

Research Fields : Geometric Control; Differential Geometry; Bifurcation Control and Nonlinear Control Theory

Nonlinear Dynamics, Singularity Theory and Equivariant dynamics, Applied Lie algebra

Topology, Functional analysis, Measure Theory, Descriptive Set Theory

Editorial Board Member:

Editor in Chief, June 2022- Now.
Bulletin of the Iranian Mathematical Society.
This is the oldest Iranian Mathematics journal in English, and it has continuously published papers since 1974. BIMS has been published by Springer Nature since 2018.
Editorial board member 2020-Now,
Computational Methods for Differential Equations.
Section Editor, September 2019-March 2022,
Bulletin of the Iranian Mathematical Society,
Published by Springer Nature.

National Mathematics Awards:

Kermani Riazi Prize, Iranian Mathematical Society Prize, 2019.
Hashtroudi Mathematics Prize, Iranian Mathematical Society Prize in Geometry and Topology, 2022.

Our Maple library: Singularity

M. Gazor, M. Kazemi,
A user guide for Singularity,
ArXiv:1601.00268 (2016) 32 pages.
The library and a sample Maple file describing how to use the library is available here.

Unpublished manuscripts and supplementary files:

M. Gazor, N. Sadri,
Symmetry-breaking controller design for Bogdanov-Takens bifurcations with an application to Chua system,
A supplementary file for homoclinic and heteroclinic controller sets for Bogdanov-Takens singularity.
M. Gazor, A. Shoghi,
CW complexes and bifurcation control in Eulerian flows with multiple Hopf singularities,
arXiv:2002.10452 (2024) 44 pages.
M. Gazor,
Condensation rank of injective Banach spaces,
arXiv:1104.4896 (2011).

Recent Publications:

M. Gazor, N. Sadri,
Orbital and parametric normal forms for families of Hopf-zero singularities,
Nonlinearity (2024) 105018 (47 pages).
Maple Files Finite determinancy
M. Gazor, A. Shoghi,
Normal forms of double Hopf oscillators with radial nonlinearities,
Physica D (2023) 133813.
For the arXiv version, see arXiv:1812.11528
M. Gazor, B. Hamzi, A. Shoghi,
The infinite level normal forms for non-resonant double Hopf singularities,
Systems & Control Letters 176 (2023) 105529.
For the arXiv version, see here.
M. Gazor, A. Shoghi,
Leaf-normal form classification for n-tuple Hopf singularities,
Communications in Mathematical Physics 396 (2022), no. 2, 481–526.
https://doi.org/10.1007/s00220-022-04470-2.
To view this paper, click here.
M. Gazor, A. Shoghi,
Tone-colour in music and bifurcation control,
J. Differential Equations 326 (2022) 129-163.
Generated sounds of C#4 can be downloaded from here:
1. Violin case: Two consecutive pitchfork bifurcations followed by a double saddle-node bifurcation. These constitute a complete hysteresis cycle:
An audio C#4 file played by a violin Simulated C#4 violin file obtained via bifurcation control
2. Piano case: A consecutive ordered set of four different type of pitchfork bifurcations. These correspond with appearances and disappearances of flow-invariant harmonic toral limit sets.
An audio C#4 file played by a piano Simulated C#4 piano file obtained via bifurcation control
M. Gazor, A. Shoghi,
Bifurcation control and sound intensities in musical art,
J. Differential Equations 293 (2021) 86--110.
A Geometric analysis of musical chords and sound intensity variations using bifurcation control,
Simulated first 13 bars of the Godfather music by differential systems