S.M.Mintchev

Please email me if you would like a copy/preprint of these:

• Maama, M., Ambrosio, B., Aziz-Alaoui, M.A., and Mintchev, S.M. Emergent properties in a V1-inspired network of Hodkin-Huxley neurons. Mathematical Modelling of Natural Phenomena 19 (3), 2024.

• Frost, B. and Mintchev, S.M. A high-efficiency model indicating the role of inhibition in the resilience of neuronal networks to damage resulting from traumatic injury. Journal of Computational Neuroscience 51: 463-474, 2023.

• Ambrosio, B. and Mintchev, S.M. Periodically kicked feedforward chains of simple excitable FitzHugh-Nagumo neurons. Nonlinear Dynamics 110: 2805-2829, 2022.

• Fernandez, B. and Mintchev, S.M. Wave generation in unidirectional chains of idealized neural oscillators. The Journal of Mathematical Neuroscience 6:5, 2016. Available also at arXiv.

• Lanford III, O.E. and Mintchev, S.M. Stability of a family of traveling wave solutions in a feedforward chain of phase oscillators. Nonlinearity 28: 237-261, 2015.

• Mintchev, S.M. and Young, L.-S. Self-organization in predominantly feedforward oscillator chains. Chaos 19(4):043131, 2009.

• Ph.D. Thesis (2008): Self-organization Phenomena in Networks of Pulse-Coupled Phase Oscillators.

Thesis Advisor: Lai-Sang Young (Courant Institute (NYU), Dynamical Systems)

• Honors Thesis (2002): Continued Fraction Expansions and Self-similarity of Irrational Rotations.

Thesis Advisor: E.A. Robinson, Jr. (GWU, Dynamical Systems)

Currently in preparation:

• (with B. Fernandez) Existence of stable traveling waves in smooth systems of coupled phase oscillators.

• (with B. Ambrosio) Traveling waves and propagation of rhythmic dynamics in excitable extended systems.

• Stable perfectly-transmitted signals in phase oscillator chains with instantaneous Dirac impulse coupling.

• The applicability of return-map studies to the global stability analysis of traveling wave solutions in chains of neural oscillators.

In Progress (as of September 2024)

• Introduction to Linear Algebra - Fall 2024 (Cooper Union Moodle)
• Calculus I - Fall 2024 (Cooper Union Moodle)
• Linear Algebra - Fall 2024 (Cooper Union Moodle)

Stanislav M. Mintchev

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