Low-dimensional dynamics and bifurcations in oscillator networks via bi-orthogonal spectral decomposition

Journal of Physics A: Mathematical and General

Volumn 33, Issue 18, 2000, Pages 3555-3566

  Schwarz, J ^a,b   Brauer K ^a   Dangelmayr, G ^c   Stevens, A ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b UNIVERSITY HOSPITAL TÜBINGEN   (Germany)

^c Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039028882     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/18/303     Document Type: Article

References (26)

1. Gray C M 1994 J. Comput. Neurosci. 1 11
2. Hoppensteadt F C and Izhikevich E M 1997 Weakly Connected Neural Networks (Berlin: Springer)
3. Hoppensteadt F C and Izhikevich E M 1998 BioSystems 48 85
4. Hoppensteadt F C and Izhikevich E M 1999 Phys. Rev. Lett. 82 2983
5. Hoppensteadt F C and Izhikevich E M 1999 Synchronization of laser oscillators, associative memory and optical neurocomputing Phys. Rev. E submitted
6. Izhikevich E M 1999 Computing with oscillators Neural Networks submitted
7. Terman D and Wang D L 1995 Physica D 81 148
8. Wang D L and Terman D 1997 Neural Comput. 9 805
9. Hoppensteadt F C and Izhikevich E M 1999 Synchronization of MEMS resonators and mechanical neurocomputing IEEE Trans. Circuits Syst. 1 submitted
10. Nguyen C T C and Howe R T 1999 IEEE J. Solid-State Circuits 34 440
11. Turner K L, Miller S A, Hartwell P G, MacDonald N C, Strogatz S H and Adams S G 1998 Nature 396 149
12. Mason A, Yazdi N, Chavan A V, Najafi K and Wise K D 1998 Proc. IEEE 86 1733
13. Yazdi N, Ayazi F and Najafi K 1998 Proc. IEEE 86 1640
14. Aubry N, Guyonnet R and Lima R 1991 J. Stat. Phys. 64 683
15. Aubry N, Guyonnet R and Lima R 1992 J. Nonlinear Sci. 2 183
16. Schwarz J, Sieck A, Dangelmayr G and Stevens A 2000 Biol. Cybern. 82 231
17. Schwarz J, Stevens A, Bräuer K and Bartels M 2000 Patterns of complexity and coherent oscillations in a thalamo-cortical network model Chaos in Brain? ed K Lehnartz et al (Singapore: World Scientific) pp 238-42
18. Schwarz J, Stevens A, Bräuer K and Bartels M 1999 Modulation of synchrony in a thalamo-cortical network model Preprint
19. Wang Y C, Adams S G, Thorp J S, MacDonald N C, Hartwell P and Bertsch F 1998 IEEE Trans. Circuits Syst. 45 1013
20. Defontaines A, Pomeau Y and Rostand B 1990 Physica D 46 201
21. Mackay R S and Sepulchre J A 1995 Physica D 82 243
22. Nekortin V I, Makarov V A, Kazanetsev V B and Velarde M G 1997 Physica D 100 330
23. Chicone C 1992 SIAM J. Math. Anal. 23 1577
24. Chicone C 1994 J. Diff. Eq. 112 407
25. Schwarz J, Dangelmayr G, Stevens A and Bräuer K 1999 Burst and spike synchronization of coupled neural oscillators Dyn. Stab. Syst. submitted
26. Somers D and Kopell N 1995 Biol. Cybern. 68 393