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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 : M. Gazor
- Associate Professor, Department of Mathematical Sciences
- 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:
- Bulletin of the Iranian Mathematical Society, Section Editor, Springer, 2019-2022.
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Computational Methods for Differential Equations, Editorial Board member, 2020-2023.
Our Maple library: Singularity
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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Unpublished manuscripts and supplementary files:
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M. Gazor, N. Sadri,
A supplementary file for homoclinic and heteroclinic controller sets for Bogdanov-Takens singularity.
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M. Gazor, A. Shoghi,
Tone-colour in music and bifurcation control,
arXiv:2009.03446 (2021) 29 pages.
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
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M. Gazor, A. Shoghi,
Toral CW complexes and bifurcation control in Eulerian flows with multiple Hopf singularities,
arXiv:2002.10452 (2021) 44 pages.
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M. Gazor, A. Shoghi,
Parametric normal form classification for Eulerian and rotational non-resonant double Hopf singularities,
arXiv:1812.11528 (2021) 38 pages.
Matlab simulation files for bifurcation control of a robotic double-arm oscillator are avialable here.
Painting robot and path tracking control and robotic acrobot
- M. Gazor,
Condensation rank of injective Banach spaces,
arXiv:1104.4896 (2011).
Recent Publications:
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M. Gazor, A. Shoghi,
Bifurcation control and sound intensities in musical art,
J. Differential Equations 293 (2021) 86--110.
Free download is avaliable at here.
A Geometric analysis of musical chords and sound intensity variations using bifurcation control,
Simulated first 13 bars of the Godfather music by differential systems
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M. Gazor, M. Kazemi,
Singularity: A Maple library for local zero bifurcation control of scalar smooth maps,
Transactions of the ASME Computational and Nonlinear Dynamics, 15 (2020) 011001.
The American Society of Mechnaical Engineers (ASME).
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M. Gazor, F. Mokhtari, J.A. Sanders,
Vector potential normal forms for integrable solenoidal nilpotent singularities,
J. Differential Equations 267 (2019) 407--442. [pdf]
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M. Gazor, N. Sadri,
Bifurcation controller designs for the generalized cusp plants of Bogdanov--Takens singularity with an application to ship control,
SIAM J. Control and Optimization 57 (2019) 2122--2151.
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M. Gazor, M. Kazemi,
Normal Form Analysis of Z_2-Equivariant Singularities,
Internat. J. Bifurcation and Chaos 29 (2019) 1950015, 20 pages.
- M. Gazor, N. Sadri,
Bifurcation control and universal unfolding for Hopf-zero singularities with leading solenoidal terms,
SIAM J. Applied Dynamical Systems 15 (2016) 870–903. [pdf]
Dedicated to the late Professor James Murdock.
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M. Gazor, F. Mokhtari,
Normal Forms of Hopf--Zero singularity,
Nonlinearity 28 (2015) 311--330.
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M. Gazor, M. Moazeni,
Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case,
Discrete and Continuous Dynamical Systems 35 (2015) 205–224.
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M. Gazor, F. Mokhtari, J.A. Sanders,
Normal forms for Hopf--Zero singularities with nonconservative nonlinear part,
J. Differential Equations 254 (2013) 1571--1581.
- M. Gazor, F. Mokhtari,
Volume-preserving normal forms of Hopf-Zero singularity,
Nonlinearity 26 (2013) 2809-2832.
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M. Gazor, P. Yu,
Spectral sequences and parametric normal forms,
J. Differential Equations 252 (2012) 1003--1031.
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A. Ghobadzadeh, S. Gazor, M.R. Taban, A.A. Tadaion, M. Gazor,
Separating Function Estimation Tests: A New Perspective on Binary Composite Hypothesis Testing,
IEEE Transaction on Signal Processing 60 (2012) 5626--5639.
