Recent and Upcoming Events (2024)

• I will give a talk on the block feed-forward network  dynamical system in  ICMASC'24 (International Conference on Mathematical Analysis and Applications in Science and Engineering)

• Jesús Palacián, Patricia Yanguas, and I organized a mini-symposium titled 'Stability and Bifurcations of Hamiltonian Systems: Theory and Applications' at the XLIV Dynamics Days Europe in Bremen, held from July 29 to August 2, 2024.

• March 2024: I am back from maternity leave.

Publications

Projects and Preprints:

     Network Dynamical Systems

• "Lie Algebraic Structure of Nilpotent Feedforward (Single Nodes) Network Dynamical Systems"

"Lie Algebraic Structure of Nilpotent Feedforward (Block Forms) Network Dynamical Systems"

Riemann Ellipsoid

• "Bifurcation of Riemann Ellipsoid and Nonlinear Stability" (Joint work with Jesús Palacián, Patricia Yanguas)

Triple-zero Bifurcation

• "On the Bifurcation, Blow-up, and Unfolding of Triple-Zero Singularities" (Joint work with Santiago Ibáñez, University of Oviedo)

Publications:

• F. Mokhtari, Jesús Palacián, Patricia Yanguas. "Bifurcations of Riemann Ellipsoids." arXiv:2306.04258

• F. Mokhtari, J.A. Sanders. "The Lie algebraic structure of colored networks." arXiv:2109.11419

• F. Mokhtari, E. Roell, J.A. Sanders. "Normal form for maps with nilpotent linear part." Accepted in Proceedings A. arXiv:2003.01568

• F. Mokhtari, J.A. Sanders. "Equivariant decomposition of polynomial vector fields." Journal of Communications in Contemporary Mathematics, 17 September 2020. arXiv:1909.06955

• F. Mokhtari, J.A. Sanders. "Versal Normal Form for Nonsemisimple Singularities." Journal of Differential Equations, Volume 267, Issue 5, 15 August 2019, Pages 3083-3113. ScienceDirect

• F. Mokhtari. "On the representations and Z2 equivariant normal form of solenoidal Hopf–zero singularities." Physica D: Nonlinear Phenomena, Volumes 386–387, Pages 14-22, 2019. arXiv:1903.09892

• M. Gazor, F. Mokhtari, J.A. Sanders. "Vector potential normal forms for solenoidal nilpotent singularities." Journal of Differential Equations, Volume 267, 407-442, 2019. arXiv:1711.09126

• M. Gazor, F. Mokhtari. "Normal Forms of Hopf–Zero singularity." Nonlinearity, Volume 28, 311–330, 2015. IOP Science

• M. Gazor, F. Mokhtari. "Volume-preserving normal forms of Hopf–Zero singularity." Nonlinearity, Volume 26, 2809–2832, 2013. IOP ScienceM. Gazor, F. 

• Mokhtari, J.A. Sanders. "Normal forms for Hopf–Zero singularities with nonconservative nonlinear part." Journal of Differential Equations, Volume 254, 1571–1581, 2013. ScienceDirect

Teaching

Student's project

Feel free to contact me if you would like to carry out a research project (BSc/MSc) in the direction of the Network Dynamical System, Bifurcation Analysis of triple-zero singularities.

• Mathematical Modelling of Dynamical Systems (Mathematics)-Spring(2024)

• Calculus (ME) (VU-UTwente) https://www.utwente.edu/en/bachelor-mechanical-engineering-vu-ut/ Lecturer(2022)

• Mentoring projects of first-year BSc mechanical engineering students-(VU-UTwente) (Spring 2022/Spring 2021/Fall 2020)
• Differential Equation (ME-IUT/MNW-VU) Lecturer (Fall 2017/Spring 2020/Spring 2021/Fall 2021/Fall 2022, Fall 2023 (first block))
• Dynamical System (AUC) Lecturer (Fall 2020/Fall 2021/Fall 2022)

• Analysis II (School of Business and Economics-VU) Lecturer Feb-Mar (2021)

• Vector Calculus (MNW-VU) Lecturer and tutorial Feb-Mar2020.

• From 2019 to 2020 I assisted in several courses such as Dynamical Systems (Math-VU), Numerical Methods (Math-VU), Single variable calculus (Math-VU)Tutorial and Extra help section, Dynamics and Computation (Business analytic-VU), Partial differential equations  (Math-VU/UvA), and Vector calculus (MNW-VU)

• Tutorial teacher for international students (Math-IUT) In cooperation with the International and Scientific Cooperation Office at Isfahan University of Technology, Fall and Winter 2017. (Master course)

• Singularity Theory (Math-IUT)Teaching assistant Fall 2013. (Master course)

• Complex Analysis Teaching assistant (Math-IUT) Winter 2014–Spring 2015.

• Supervision of Bachelor project: Conjugate Phase Portraits Of Linear Systems (Math-IUT) September 2013.

• Cosupervision of the Master project: Parameter-dependent normal forms for maps (Math-Utrecht University) February 2020.

CV

Employment History:

• February 2019 - Present: Assistant Professor at the Department of Mathematics, Faculty of Sciences, VU Amsterdam

• March 2018 – February 2019: Visiting Researcher at the Department of Mathematics, Faculty of Sciences, VU Amsterdam

• September 2012 – June 2018: Ph.D. in Applied Mathematics (Dynamical Systems) from Isfahan University of Technology

• Chair of the OLC Committee for the Medical Natural Science (Medische Natuurwetenschappen) program. You can find more information about the program here: Bachelor and Master Program.

•  ICT  Committee member: Representative of the math department 

https://vu.nl/nl/medewerker/beta-wegwijzer/it-commissie-beta

Previously: Co-organizer of the general math colloquium at VU Amsterdam

• Universidad Pública de Navarra -UPNA, Department of Statistics, Computer Science and Mathematics 

• Universidade do Porto, Faculdade de Ciências (Mathematics) 27-30 January  2020 Hosts:  Ana Paula Dias and  Manuela Aguiar

• Universidad Pública de Navarra -UPNA, Department of Statistics, Computer Science and Mathematics  17-25 October 2019

• Department of Mathematics, Faculty of Sciences, VU Amsterdam(Netherlands) January 2016-April 2016

• Department of Mathematics of University of Utrecht (Netherlands)  November 2015-December 2015

Education:

• Ph.D.  Applied Mathematics (Dynamical Systems), Isfahan University of Technology.

• M. Sc . Applied Mathematics (Dynamical Systems), Isfahan University of Technology.

• BSc Pure Mathematics at the  Department of Mathematics University of Isfahan.

• Awarded a scholarship by the Ministry of Science, Research and Technology of Iran to conduct research at the University of Utrecht and Vrije Universiteit, Amsterdam (2015-2016).

• Received grants for research projects from the Presidency of the Islamic Republic of Iran National Elites Foundation (2014).

• Recognized as a "distinguished student" in scientific competitions among all students at Isfahan University of Technology (2016).

• Second laureate of the "Khwarizmi Youth Award" in the "Fundamental Researches" Section, Tehran, Iran (2013).

• Ranked among the top ten percent of distinguished students (2005-2009).

• Recognized as a distinguished student at the University of Isfahan (2005-2009).

• Second rank in Pure Math, B.Sc., at the Department of Mathematical Sciences, University of Isfahan, UI (2005-2009).

• Second rank in Applied Math (Dynamical System), M.Sc., at the Department of Mathematical Sciences, Isfahan University of Technology, IUT (2009-2011).

• First rank in Applied Math (Dynamical System), Ph.D., at the Department of Mathematical Sciences, Isfahan University of Technology, IUT.

Selected  talks:

• SIAM Conference on Applied Algebraic Geometry (AG23), On the Use of sl(2) representation in Feed-forward Networks.

https://www-siam-org.vu-nl.idm.oclc.org/conferences/cm/conference/ag23 (July 10-14 2023), Eindhoven University of Technology

• sSpt,  The linear Lie algebraic structure of colored network dynamics, http://www.sptspt.it/SPT2023.html,

Otranto (Apulia, Italy) (4-10 June 2023)

• XXVII CONGRESS OF DIFFERENTIAL EQUATIONS AND APPLICATIONS XVI CONGRESS OF APPLIED MATHEMATICS (CEDYA/CMA)(https://www.cedya2022.es/index.php?idpagina=1&idioma=ang), University of Zaragoza (July 18-22, 2022).

•  Mini-symposium in  Dynamical System, Title: Bifurcations in the Riemann ellipsoids-FM, Jesús F. Palacián(speaker), Patricia Yanguas.

•  VU/Delft/Leiden seminar. Title: Versal deformation for non-simple singularities, University of Leiden (18 May 2022)

• CooMot international workshop on Co-orbital Motion: modeling, understanding, and exploitation,

https://www.coomot.imati.cnr.it/home_page.php?ref_code=COOMOT

Virtual talk, Title:  Versal deformation of L_4 problem. (28-30 March 2022)

• Ninth workshop on integrable system

(https://www.maths.usyd.edu.au/u/integrable/2021/index.html) 

Virtual poster, Title: Normal form for completely integrable triple-zero singularities

School of Mathematics and Statistics, The University of Sydney (2-3 December 2021)

• Organized  mini-symposium, Title: Normal Forms and algebraic structures for dynamical systems

SIAM Conference on Applications of Dynamical Systems (DS21) (virtual)

• Talk in The Second Joint SIAM/CAIMS Annual Meeting (AN20)

• Algebraic Structure Study of Vector Fields Near the Triple-Zero Bifurcation Point (Virtual talk) Dynamics Days Digital (Europe) 2020. 

• Dynamical system and representation Theory Department of Mathematics, University of Porto.( 28-January, 2020)

• Department of Statistics, Computer Science and Mathematics, Universidad Pública de Navarra | UPNA  22 October (2019)

Title: On the Equivariant Decomposition of polynomial vector fields

• Algebraic structure study of vector fields near the triple-zero bifurcation point Equadiff 2019  (Leiden University ) July 8-12 ( 2019)

• Unique Normal Form of Three-dimensional Singularities VU University of Amsterdam April 17, 2019 (Colloquium Talk)

• Three Dimensional Singularities Isfahan University of Technology November 16, 2015. (Colloquium Talk)

• Symbolic Local Bifurcation Analysis of Singularities University of Utrecht November 25, 2015. (Colloquium Talk)

• Normal Form of Solenoidal Reversible Hopf–Zero singularities Isfahan University of Technology Isfahan Iran July 2016. (Colloquium Talk)