A. Publications – Journal Articles

Channell P, Cymbalyuk, G.S. , Shilnikov A (2007) Origin of bursting through homoclinic spike adding in a neuron model. Phys Review Letters 98 (13): Art. No. 134101

Olypher, A.V., Cymbalyuk, G.S. , Calabrese, R.L. (2006) Hybrid Systems Analysis of the Control of Burst Duration by Low-Voltage-Activated Calcium Current in Leech Heart Interneurons. J Neurophysiol. 96: 2857-2867

Weerasekara, A.B., Matsik, S.G., Cymbalyuk, G.S. , and Perera A.G.U. (2006) Grouping behavior of inter-pulse time intervals for triggered pulses in an AlGaAs/InGaAs multilayer structure Physica D: Nonlinear Phenomena 215: 159-165

Shilnikov, A. L., Calabrese R. and Cymbalyuk, G.S. (2005) Mechanism of bi-stability: tonic spiking and bursting in a neuron model. Phys Review E 71, 056214, 1-9

Cymbalyuk, G.S. & Shilnikov, A.L. (2005) Coexistence of tonic spiking oscillations in a leech neuron model, J. Computational Neuroscince 18(3):255-263

Shilnikov, A. L. and Cymbalyuk, G.S. (2005) Transition between tonic-spiking and bursting in a neuron model via the blue-sky catastrophe, Phys Review Letters 94(4):048101, 1-4

Cymbalyuk, G.S. , Calabrese R. and Shilnikov, A. L., (2005) How a neuron model can demonstrate co-existence of tonic spiking and bursting? Neurocomputing 65-66: 869-875

Bondarenko, V.E., Cymbalyuk, G.S. , Patel, G., DeWeerth, S.P., Calabrese, R.L. (2004) Bifurcation of a synchronous oscillations into torus in a system of two reciprocally inhibitory silicon neurons: Experimental observation and modeling, Chaos, 14(4): 995-1003.

Shilnikov, A. L. and Cymbalyuk, G.S. (2004) Homoclinic saddle-node orbit bifurcations en a route between tonic spiking and bursting in neuron models, Invited paper, Regular & Chaotic Dynamics, 9(3): 281-297

Sorensen, M., DeWeerth, S., Cymbalyuk, G.S. , Calabrese, R.L. (2004) Using a hybrid neural system to reveal regulation of neuronal network activity by an intrinsic current. J Neurosci. 24(23):5427-5438

Wenning A, Cymbalyuk, G.S. , Calabrese RL. (2004) Heartbeat Control in Leeches: I. Constriction Pattern and Neural Modulation of Blood Pressure in Intact Animals. J Neurophysiol. 91(1): 382-396

Simoni MF, Cymbalyuk GS, Sorensen ME, Calabrese RL, DeWeerth SP. (2004) A Multi-conductance silicon neuron with biologically matched dynamics. IEEE Transactions on Biomedical Engineering 51(2): 342 - 354

Wenning A, Cymbalyuk GS, Calabrese RL. (2004) Heartbeat Control in Leeches: I. Constriction Pattern and Neural Modulation of Blood Pressure in Intact Animals. J Neurophysiol. 91(1): 382-396

Bondarenko VE, Cymbalyuk GS, Patel G, DeWeerth SP, and Calabrese RL (2003) A bifurcation of a synchronous oscillations into a torus in a system of two mutually inhibitory aVLSI neurons: experimental observation. Neurocomputing. In Press

Cymbalyuk GS, Gaudry Q, Masino M, and Calabrese RL (2002) Bursting in leech heart interneurons: cell autonomous and network based mechanisms. J Neuroscience. 22:10580-10592

Simoni M, Sorensen M, Cymbalyuk GS, Calabrese R, DeWeerth S (2002) Control of bursting properties in a silicon neuron CPG. Neurocomputing 44: 645-651

Cymbalyuk G.S. and Calabrese R.L. (2001) A model of slow plateau-like oscillations based upon the fast Na+ current in a window mode. Neurocomputing 38: 159-166

Cymbalyuk GS and Calabrese RL (2000) Oscillatory behaviors in pharmacologically isolated heart interneurons from the medicinal leech. Neurocomputing, 32-33, 97-104

Cymbalyuk G, Patel G, and Calabrese R, DeWeerth S, and Cohen A (2000) Modeling Alternation to Synchrony with Inhibitory Coupling: A VLSI Approach. Neural Computation 12, 2259-2278

Cymbalyuk GS, Borisyuk RM, Mueller-Wilm U, and Cruse H (1998) Oscillatory network controlling six-legged locomotion. Optimization of model parameters. Neural Networks 11: 1449-1460

Cruse H, Bartling C, Cymbalyuk G, Dean J, Dreifert M (1995) A modular artificial neural net for controlling a six- legged walking system. Biological Cybernetics 72: 421 - 430

Cruse H, Bartling C, Cymbalyuk G, Dean J, Dreifert M (1995) A modular artificial neural net for controlling a six-legged walking system. Proc. Fourth International Congress of Comparative Physiology and Biochemistry. Physiol. Zool. 68: 57

Dean J, Brunn D, Bartling C, Cruse H, Cymbalyuk G, Dreifert M and Schmitz J (1995) Control of hexapod walking using artificial and real neurons. BIONA-report 9: 17 - 36

Cymbalyuk GS, Nikolaev EV and Borisyuk RM (1994) In phase and anti- phase self-oscillations in a model of two electrically coupled pacemakers. Biological Cybernetics 71: 153 - 160

Borisyuk GN, Borisyuk RM, Kazanovich YB, Luzyanina TB, Turova TS, and Cymbalyuk GS (1992) Oscillatory neural networks. Mathematics and applications. Mathematical modeling 4: 3- 43 (in Russian) Review

B. Publications – Books/Monographs/Chapters
Cruse H, Bartling C, Cymbalyuk G, Dean J, Dreifert M, Kindermann T, Schmitz J, and Schumm M (2000) A modular artificial neural net for controlling a six- legged walking system. Prerational Intelligence: Adaptive behavior and intelligent systems without symbols and logic. Vol. 1. Editors: Dean J, Cruse H, Ritter H; Kluwer Press, Dordrecht, Boston, London.
Patel GN, Cymbalyuk GS, Calabrese RL, and DeWeerth, SP (2000) Bifurcation Analysis of a Silicon Neuron. NIPS'1999 Volume 12: Sara Solla, Todd Leen, Klaus-Robert Muller (eds), MIT Press, pp. 731-738.
Simoni MF, Cymbalyuk GS, Sorensen MQ, Calabrese RL, and DeWeerth SP (2001) Development of Hybrid Systems: Interfacing a Silicon Neuron to a Leech Heart Interneuron. NIPS'2000 Volume 13: Todd Leen, Tom Dietterich, Volker Tresp (eds), MIT Press, pp. 173-179.

C. Proceedings (Refereed)
Cymbalyuk GS and Calabrese RL (2003) Dynamics of Leech heart oscillator interneurons yoked together into a half-center oscillator. South East Nerve Net, the Whitney Lab, Florida, USA
Shilnikov AL, Cymbaluyk G. and Calabrese R., (2003) Multistability and infinite cycles in a model fof the leech heart interneuron, Nonlinear Dynamics of Electronic Systems, Scuol, Switzerland
Cymbalyuk GS and Calabrese RL (2003) Dynamics of endogenously bursting neurons from leech heart central pattern generator. “Symmetry and Bifurcation in Biology”, Banff, Canada
Cymbaluyk G., Calabrese R. and Shilnikov A. Yin and yang of leech heart central pattern generator: endogenously bursting neurons yoked together into a half-center oscillator. The Alecante, Spain, July 5-9, 2003
Cymbalyuk GS and Calabrese RL (2003) Control of bursting activity in a leech heart half-center oscillator. Neuroscience Meeting, November 8 -12, 2003, New Orleans, Louisiana
Cymbalyuk GS, Sorensen ME, Simoni MF, DeWeerth SP, Calabrese RL (2002) Software tools for hybrid system analysis. Neuroscience Annual Meeting, 67.9, Orlando, Fl
Sorensen M, Cymbalyuk G, Calabrese R, and DeWeerth S (2002) Effect of a hyperpolarization-activated inward current on rhythmic activity in a hybrid half-center oscillator [Engineering in Medicine and Biology, 2002. 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] EMBS/BMES Conference, 2002. Proceedings of the Second Joint ,Volume: 3 , 23-26 Oct. 2002 Pages:2074 - 2075 vol.3
Sorensen ME; Cymbalyuk GS; Calabrese RL; DeWeerth SP (2002) Control of rhythmic activity by modulating intrinsic currents in a hybrid half-center oscillator. Neuroscience Annual Meeting, 67.6, Orlando, Fl.
Bondarenko VE, Cymbalyuk GS, Patel G, DeWeerth SP, and Calabrese RL (2002) A bifurcation of a synchronous oscillations into a torus in a system of two reciprocally inhibitory aVLSI neurons: experimental observation. 11-th Annual Computational Neuroscience Meeting, Chicago
DeWeerth SP, Sorensen M, Cymbalyuk GS, Calabrese RL (2001) Dynamical Properties of Hybrid Neural-Microelectronic Oscillators. Biomedical Engineering Society's Conference Oct 4-7, 2.7.2.
Cymbalyuk GS, Gaudry Q, Masino MA, and Calabrese RL (2001) Bursting in leech heart interneurons: cell autonomous and networks based mechanisms. 10-th Annual Computational Neuroscience Meeting, San Francisco and Pacific Grove, California, June 30 - July 5
Simoni M, Sorensen M, Cymbalyuk G, Calabrese R, DeWeerth S (2001) Control of Bursting Properties in a Silicon Neuron CPG. 10-th Annual Computational Neuroscience Meeting, San Francisco and Pacific Grove, California, June 30 - July 5
Simoni MF, Cymbalyuk GS, Sorensen MQ, Calabrese RL, and DeWeerth SP (2000) Development of Hybrid Systems: Interfacing a Silicon Neuron to a Leech Heart Interneuron. Neural Information Processing Systems’00.
Cymbalyuk GS, and Calabrese RL (2000) Endogeneous bursting of leech heart interneurons. Neuroscience Annual Meeting, Nov. 4-9, 2000.
Sorensen M, Simoni M, Cymbalyuk GS, Calabrese RL, DeWeerth S (2000) An analog VLSI model of a leech heart interneuron. Neuroscience Annual Meeting, Nov. 4-9, 2000.
Cymbalyuk GS, and Calabrese RL (2000) A model of slow plateau-like oscillations based upon a window in the fast Na+ current. Computational Neuroscience Meeting
Patel GN, Cymbalyuk GS, Calabrese RL, and DeWeerth SP (1999) Bifurcation Analysis of a Silicon Neuron. Neural Information Processing Systems’99. November 29 - December 4, 1999.
Hill AAV, Cymbalyuk GS, Calabrese RL (1999) Oscillations of leech heart interneurons in isolated ganglia under different conditions of reduced network connectivity. Neuroscience meeting, Abstracts 25: 659.14, 1999
Cymbalyuk G., Calabrese R. (1999) Oscillatory behaviours in pharmacologically isolated heart inteneuron. Computational Neuroscience Meeting
Cymbalyuk G (1997) Synchronization and desynchronization in the population of electrotonically coupled pacemakers. Proceedings of Int. Workshop "Neuronal Coding", Versailles, France, p. 14
Cymbalyuk G (1997) Stimulus-dependent synchronization of electrically coupled neural oscillators. Proceedings of Int. Symposium "Electrical Activity of The Brain: Mathematical Models and Analytical Methods", Pushchino, p. 42 - 43
Cymbalyuk G and Cruse H (1995) The self-organization of the oscillatory network controlling six-legged locomotion by means of simulated annealing. Proceedings of Int. Workshop "Neuronal Coding", Prague, p. 15
Cruse H, Bartling C, Cymbalyuk G, Dean J, Dreifert M (1994) A neural net controller for six- legged walking system. In: From Perception to Action Conference. Ed: P. Gaussier, J.-D. Nicoud. IEEE Computer Society Press, Los Alamitos, California. p. 55 -65
Cruse H, Cymbalyuk G, Dean J (1993) A walking machine using coordinating mechanisms of three different animals: stick insect, crayfish and cat. Proceedings of ECAL`93 (European Conference of Artificial Life), Brussels, Belgium, p. 246 - 258
Cymbalyuk GS (1990) Modeling of rhythmic activity in small neural nets with noise. Proceedings Int. Symp. on Neural Networks and Neural Computing. Prague, p. 341 – 343