Main publications: |
- Buse O, Kuznetsov A, Perez R, Existence of limit cycles in the repressilator equations. To appear in Int. J. of Bif. And Chaos, 2009.
- Yang D, Li Y, Kuznetsov A. Characterization and merger of oscillatory mechanisms in an artificial genetic regulatory network. Chaos 19(3):033115, 2009.
- A. Kuznetsov, N.Kopell, C. Wilson, Transient High-Frequency Firing in a Coupled-Oscillator Model of the Mesencephalic Dopamine Neuron. J.Neurophysiology. 95:932-947, 2006.
- A.S. Kuznetsov, G.L. Forty, V.D. Shalfeev, Analysis of Pattern Formation in a Chain of Coupled Bistable Elements. Int. J. Bifurcation and Chaos 16(3): 741-747, 2006.
- A.S. Kuznetsov, V.D. Shalfeev, L.S. Tsimring, 2005, Regularization of Dynamics in an Ensemble of Nondiffusively Coupled Chaotic Elements. Phys. Rev. E 72, p. 046209, 2005.
- A. Kuznetsov, M. Kaern, N. Kopell, Synchrony in a Population of Hysteresis-based Genetic Oscillators. SIAM J. Applied Math., V. 65, N 2, pp. 392-425, 2004.
- A.S. Kuznetsov, J. Kurths, Stable Heteroclinic Cycles for ensembles of chaotic oscillators. Phys Rev. E 66 p. 026201, 2002.
|