Synchronization of Diffusively Coupled Electronic Hindmarsh-Rose Oscillators

Dynamics and Control of Hybrid Mechanical Systems

Volumn , Issue , 2010, Pages 195-210

  Steur, E ^a   Kodde, L ^a   Nijmeijer, H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855239938     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (16)

1. Demidovich, B. P. (1967). Lectures on Stability Theory. Nauka-Moscow. in Russian.
2. Gray, C. M. (1994). Synchronous oscillations in neuronal systems: Mechanisms and functions. J. Comp. Neuroscience 1(1-2), 11-38.
3. Hindmarsh, J. L. and R. M. Rose (1984). A model of neuronal bursting using three coupled first order differential equations. Proc. R. Soc. London B 221(1222), 87-102.
4. Huijberts, H. J. C., H. Nijmeijer and R. M. A. Willems (1998). A control perspective on communication using chaotic systems. Proc. 37th IEEE Conf. Decision Contr. 2, 1957-1962.
5. Lee, Y. J., J. Lee, Y. B. Kim, J. Ayers, A. Volkovskii, A. Selverston, H. Abarbanel and M. Rabinovich (2004). Low power real time electronic neuron vlsi design using subthreshold technique. Proc. IEEE Int. Symp. Circ. And Syst. 4, 744-747.
6. th IFAC Symp. Nonlinear Contr. Systems, Stuttgart.
7. Pavlov, A. V., N. v. d. Wouw and H. Nijmeijer (2006). Uniform Output Regulation of Nonlinear Systems. Birkhäuser Berlin.
8. Pecora, L. M. (1998). Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems. Phys. Rev. E 58(1), 347-360.
9. Pecora, L. M. and T. L. Carroll (1990). Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821-824.
10. Pikovsky, A., M. Rosenblum and J. Kurths (2003). Synchronization. 2 ed. Cambridge University Press.
11. Pogromsky, A. Yu. (1998). Passivity based design of synchronizing systems. Int. J. Bif. Chaos 8(2), 295-319.
12. Pogromsky, A. Yu. and H. Nijmeijer (2001). Cooperative oscillatory behavior of mutually coupled dynamical systems. IEEE Trans. Circ. Syst. I 48(2), 152-162.
13. Pogromsky, A. Yu., G. Santoboni and H. Nijmeijer (2002). Partial synchronization: From symmetry towards stability. Physica D 172(1-4), 65-87.
14. Rodriguez-Angeles, A. and H. Nijmeijer (2001). Coordination of two robot manipulators based on position measurements only. Int. J. Contr. 74(13), 1311-1323(13).
15. Strogatz, S. H. and I. Stewart (1993). Coupled oscillators and biological synchronization. Sci. Am. 269(6), 102-109.
16. Wu, C. W. and L. O. Chua (1996). On a conjecture regarding the synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circ. Syst. I 43(2), 161-165.