Neural spike suppression by adaptive control of an unknown steady state

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5768 LNCS, Issue PART 1, 2009, Pages 618-627

  Tamaševičius, Arunas ^a   Tamaševičiute, Elena ^a,b   Mykolaitis, Gytis ^a,c   Bumeliene, Skaidra ^a   Kirvaitis, Raimundas ^c   Stoop, Ruedi ^d  

^a CENTER FOR PHYSICAL SCIENCES AND TECHNOLOGY   (Lithuania)

^b VILNIUS UNIVERSITY   (Lithuania)

^c VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

^d Institute of Neuroinformatics Zurich   (Switzerland)

Author keywords

Adaptive control; Neuron models; Nonlinear dynamics

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; ASYMMETRIC ACTIVATION; FIRST ORDER; FITZHUGH-NAGUMO TYPE; LINEAR FILTERS; NEURAL SPIKE; NEURON MODELS; NONLINEAR DYNAMICS; NONLINEAR ELECTRICAL CIRCUIT; SPIKING NEURON MODELS; STEADY STATE; UNSTABLE STEADY STATE;

BACKPROPAGATION; DYNAMICS; LEARNING ALGORITHMS; NEURAL NETWORKS;

ADAPTIVE CONTROL SYSTEMS;

EID: 70350576785     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04274-4_64     Document Type: Conference Paper

References (19)

1. Bielawski, S., Bouazaoui, M., Derozier, D., Glorieux, P.: Stabilization and Characterization of Unstable Steady State in a Laser. Phys. Rev. A 47, 3276-3279 (1993)
2. Johnson, G.A., Hunt, E.R.: Derivative Control of the Steady State in Chua's Circuit Driven in the Chaotic Region. IEEE Trans. Circuit Syst. 40, 833-834 (1993)
3. Parmananda, P., Rhode, M.A., Johnson, G.A., Rollins, R.W., Dewald, H.D., Mark-worth, A.J.: Stabilization of Unstable Steady Sstate in an Electrochemical System Using Derivative Control. Phys. Rev. E 49, 5007-5011 (1994)
4. Rulkov, N.F., Tsimring, L.S., Abarbanel, H.D.I.: Tracking Unstable Orbits in Chaos Using Dissipative Feedback Control. Phys. Rev. E 50, 314-324 (1994)
5. Namajūnas, A., Pyragas, K., Tamaševičius, A.: Stabilization of an Unstable Steady State in a Mackey-Glass System. Phys. Lett. A 204, 255-262 (1995)
6. Namajūnas, A., Pyragas, K., Tamaševičius, A.: Analog Techniques for Modeling and Controlling the Mackey-Glass System. Int. J. Bif. Chaos 7, 957-962 (1997)
7. Ciofini, M., Labate, A., Meucci, R., Galanti, M.: Stabilization of Unstable Fixed Points in the Dynamics of a Laser with Feedback. Phys. Rev. E 60, 398-402 (1999)
8. Schenck zu Schweinsberg, A., Dressler, U.: Characterization and Stabilization of the Unstable Fixed Points of a Frequency Doubled Nd: YAG Laser. Phys. Rev. E 63, 056210 (2001)
9. Huijberts, H.: Linear Controllers for the Stabilization of Unknown Steady States of Chaotic systems. IEEE Trans. Circuits and Syst.-I 53, 2246-2254 (2006)
10. Brown, D.J.: Adaptive Steady-State Stabilization for Nonlinear Dynamical Systems. Phys. Rev. E 78, 16213 (2008)
11. Rocşoreanu, C., Georgescu, A., Giugitȩanu, N.: The FitzHugh-Nagumo Model: Bifurcation and Dynamics. Kluwer Academic Publishers, Dordrecht (2000)
12. Binczak, S., Kazantsev, V.B., Nekorkin, V.I., Bilbaut, J.M.: Experimental Study of Bifurcations in Modified FitzHugh-Nagumo Cell. Electron. Lett. 39, 961-962 (2003)
13. Aliaga, J., Busca, N., Minces, V., Mindlin, G.B., Pando, B., Salles, A., Sczupak, L.: Electronic Neuron within a Ganglion of a Leech (Hirudo Medicinalis). Phys. Rev. E 67, 061915 (2003)
14. Jacquir, S., Binczak, S., Bilbaut, J.M., Kazantsev, V.B., Nekorkin, V.I.: Study of Electronic Master-Slave MFHN Neurons. In: 12th International Workshop on Nonlinear Dynamics of Electronic Systems, pp. 182-185. Centro de Geofisica de Évora, Universidade de Évora, Évora (2004)
15. Jacquir, S., Binczak, S., Bilbaut, J.-M., Kazantsev, V., Nekorkin, V.: Synaptic Coupling Between Two Electronic Neurons. Nonl. Dyn. 44, 29-36 (2006)
16. Sitt, J.D., Aliaga, J.: Versatile Biologically Inspired Electronic Neuron. Phys. Rev. E 76, 051919 (2007)
17. Duan, S., Liao, X.: An Electronic Implementation for Liao's Chaotic Delayed Neuron Model with Non-Monotonous Activation Function. Phys. Lett. A 369, 37-43 (2007)
18. Malmivuo, J., Plonsey, R.: Bioelectromagnetism - Principles and Applications of Bioelectric and Biomagnetic Fields. Oxford University Press, New York (1995), http://www.bem.fi/book/
19. Horowitz, P., Hill, W.: The Art of Electronics. Cambridge University Press, Cambridge (1993)