Articles in Journal or Book chapter:

1. Z. Aminzare and A. Kay. Mathematical modeling of ion homeostasis & cell volume stabilization: impact of ion transporters, impermeant molecules, & Donnan effect. [Submitted]

2. Z. Aminzare and V. Srivastava. Stochastic synchronization in nonlinear network systems driven by intrinsic and coupling noise Biological cybernetics, 116 (2), 147-162, 2022 [PDF]

3. Z. Aminzare. Stochastic Logarithmic Lipschitz Constants: A Tool to Analyze Contractivity of Stochastic Differential Equations IEEE control systems letters, 6, 2311--2316, 2022 [PDF]

4. J. Park and Z. Aminzare. A mathematical description of bacterial chemotaxis in response to two stimuli. Bulletin of mathematical biology, 84 (1), 1-35, 2022 [PDF]

5. Z. Aminzare and P. Holmes. Heterogeneous inputs to central pattern generators can shape insect gaits. SIAM J. on Applied Dynamical Systems, 18(2), 1037-1059, 2019. [PDF]

6. E. N. Davison, Z. Aminzare, B. Dey, and N. Ehrich Leonard. Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(3): 033105, 2019. [PDF]

7. Z. Aminzare, B. Dey, E. N. Davison, and N. Ehrich Leonard. Cluster synchronization of diffusively coupled nonlinear systems: A contraction based approach. J. of Nonlinear Science, 1-23, 2018. [PDF] [Poster]

8. Z. Aminzare, V. Srivastava, and P. Holmes. Gait transitions in a phase oscillator model of insect central pattern generators. SIAM J. on Applied Dynamical Systems, 17(1): 626-671, 2018. [PDF] [Poster]

9. F. Menolascina, R. Rusconi, V. I. Fernandez, S. P. Smriga, Z. Aminzare, E. D. Sontag, and R. Stocker. Logarithmic sensing in Bacillus subtilis aerotaxis. Nature Systems biology and Applications, 3:16036-, 2017. [PDF]

10. Z. Aminzare and E.D. Sontag. Some remarks on spatial uniformity of solutions of reaction-diffusion PDEs. 2015. Nonlinear Analysis: Theory, Methods & Applications, 147:125-144, 2016. [PDF]

11. J. L. Gevertz, Z. Aminzare, Kerri-Ann Norton, J. Pérez-Velázquez, A. Volkening, K. A. Rejniak. Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model.
In A. Radunskaya and T. Jackson, editors, Applications of Dynamical Systems in Biology and Medicine, IMA Volumes in Mathematics and its Applications, 158:1- 34, Springer-Verlag, 2015. [PDF]
12. Z. Aminzare and E.D. Sontag. Synchronization of diffusively-connected nonlinear systems: results based on contractions with respect to general norms. IEEE Transactions on Network Science and Engineering, 1(2):91-106, 2014. [PDF]

13. Z. Aminzare, Y. Shafi, M. Arcak, E.D. Sontag. Remarks on weighted L² norm contractions of reaction-diffusion systems. In V. Kulkarni, K. Raman, and G.-B. Stan, editors, System Theoretic Approaches to Systems and Synthetic Biology, 73-110. Springer-Verlag, 2014. [PDF]

14. Z. Aminzare and E.D. Sontag. Logarithmic Lipschitz norms and diffusion-induced instability. Nonlinear Analysis: Theory, Methods & Applications, 83:31-49, 2013. [PDF]

Conference Papers:

1. F. Ndow and Z. Aminzare. Global synchronization analysis of non-diffusively coupled networks through Contraction Theory. [Submitted] [Poster]

2. Z. Aminzare, P. Holmes, and V. Srivastava. On Phase Reduction and Time Period of Noisy Oscillators. In Proc. IEEE Conf. Decision and Control, Nice, France, Dec. 2019, pages 4717-4722, 2019. [PDF]

3. Z. Aminzare and E. D. Sontag. Contraction methods for nonlinear systems: A brief introduction and some open problems. In Proc. IEEE Conf. Decision and Control, Los Angeles, Dec. 2014, pages 3835-3847, 2014. [PDF]

4. Z. Aminzare and E. D. Sontag. Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms. In Proc. IEEE Conf. Decision and Control, Los Angeles pages 6086-6091, 2014. [PDF]

5. Y. Shafi, Z. Aminzare, M. Arcak, E.D. Sontag. Spatial uniformity in diffusively-coupled systems using weighted L² norm contractions In Proc. American Control Conference 2013. pages 5639-5644. [PDF]

Internal Reports: