Recent Publications:
 

• 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 veiw 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

• 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).  
   

• M. Gazor, F. Mokhtari, J.A. Sanders,
  Vector potential normal forms for integrable solenoidal nilpotent singularities,
  J. Differential Equations 267 (2019) 407--442. [pdf]
   

• 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. 
  
   

• 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. 
   

• M. Gazor, F. Mokhtari,
  Normal Forms of Hopf--Zero singularity,
  Nonlinearity 28 (2015) 311--330.
   

• 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.
   

• 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.
   

• M. Gazor, P. Yu,
  Spectral sequences and parametric normal forms,
  J. Differential Equations 252 (2012) 1003--1031.
   

• 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.