Frequency analysis with coupled nonlinear oscillators

Physica D: Nonlinear Phenomena

Volumn 237, Issue 13, 2008, Pages 1705-1718

  Buchli, Jonas ^a   Righetti, Ludovic ^a   Ijspeert, Auke Jan ^a  

^a EPFL   (Switzerland)

Author keywords

Adaptive frequency oscillator; Coupled oscillators; Frequency analysis

Indexed keywords

EMBEDDED SYSTEMS; NATURAL FREQUENCIES; OSCILLATORS (ELECTRONIC); PARAMETER ESTIMATION;

ADAPTIVE FREQUENCY OSCILLATORS; COUPLED OSCILLATORS;

NONLINEAR SYSTEMS;

EID: 45049085959     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2008.01.014     Document Type: Article

References (15)

1. Arnol'd V.I. Remarks on the perturbation theory for problems of mathieu type. Russ. Math. Surv. 38 4 (1983) 215-233
2. Buchli J., and Ijspeert A.J. Distributed central pattern generator model for robotics application based on phase sensitivity analysis. In: Ijspeert A.J., Murata M., and Wakamiya N. (Eds). Biologically Inspired Approaches to Advanced Information Technology: First International Workshop, BioADIT 2004. Lecture Notes in Computer Science vol. 3141 (2004), Springer Verlag, Berlin Heidelberg 333-349
3. Buchli J., and Ijspeert A.J. A simple, adaptive locomotion toy-system. In: Schaal S., et al. (Ed). Proceedings of SAB 04 (2004), MIT Press 153-162
4. Haken H., Kelso J.A.S., and Bunz H. A theoretical model of phase transitions in human hand movements. Biol. Cybern. 51 (1985) 347-356
5. Kempter R., Gerstner W., and van Hemmen J.L. Hebbian learning and spiking neurons. Phys. Rev. E 59 (1999) 4498-4514
6. Mallat S. A Wavelet Tour of Signal Processing. 2nd edition (1999), Academic Press
7. Mirollo R.E., and Strogatz S.H. Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 50 6 (1990) 1645-1662
8. Pikovsky A., Rosenblum M., and Kurths J. Synchronization, A Universal Concept in Nonlinear Sciences. Cambridge Nonlinear Science Series vol. 12 (2001), Cambridge University Press, Cambridge, UK
9. Righetti L., Buchli J., and Ijspeert A.J. From dynamic hebbian learning for oscillators to adaptive central pattern generators. Proceedings AMAM 2005 (2005), Verlag ISLE, Ilmenau
10. Righetti L., Buchli J., and Ijspeert A.J. Dynamic hebbian learning in adaptive frequency oscillators. Physica D 216 2 (2006) 269-281
11. L. Righetti, A.J. Ijspeert, Programmable central pattern generators: An application to biped locomotion control, in: Proceedings of the 2006 IEEE International Conference on Robotics and Automation, 2006
12. Risken H. The Fokker-Planck Equation. Springer Series in Synergetics vol. 18 (1984), Springer
13. Rössler O.E. An equation for continuous chaos. Phys. Lett. A 57 5 (1976) 397-398
14. Strogatz S.H. The mathematical structure of the human sleep-wake cycle. Lecture Notes in Biomathematics vol. 69 (1986)
15. Wiesenfeld K. New results on frequency-locking dynamics of disordered josephson arrays. Physica B 222 4 (1996) 315-319