Reaction-diffusion CNN algorithms to generate and control artificial locomotion

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 46, Issue 2, 1999, Pages 253-260

  Arena, P ^a   Fortuna, L ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Cellular neural networks; Central pattern generator; Reaction diffusion equations

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; MOBILE ROBOTS;

CENTRAL PATTERN GENERATORS; TURING PATTERNS;

CELLULAR NEURAL NETWORKS;

EID: 0033074975     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.747195     Document Type: Article

References (23)

1. J. D. Murray, Mathematical Biology. Berlin: Springer-Verlag, 1989.
2. V. I. KrinskyAutowaves: Results, problems, outlooksSelfOrganization: Autowaves and Structures Far from Equilibrium. Berlin: Springer-Verlag, 1984, pp. 9-18.
3. L. O. Chua and L. YangCellular neural networks: TheoryIEEE Trans. Circuits Syst. I, vol. 35, pp. 1257-1272, 1988.
4. L. O. Chua and T. RoskaThe CNN paradigmIEEE Trans. Circuits Syst. I, vol. 40, pp. 147-156, 1993.
5. T. Roska, L. O. Chua, D. Wolf, T. Kozek, R. Tezlaff, and F. PufferSimulating nonlinear waves and partial differential equations via CNN-Part I: Basic techniquesIEEE Trans. Circuits Syst. I, vol. 42, pp. 807-815, 1995.
6. P. Arena, M. Branciforte, and L. FortunaA CNN based experimental frame for patterns and autowavesInt. J. Circuit Theory Appl., to be published.
7. G. K. PearsonCommon principles of motor control invertebrates and invertebrates Ann. Rev. Neurosci., vol. 16, pp. 265-297, 1993.
8. L. O. Chua, Ed.Special issue on nonlinear waves, patterns and spatiotemporal chaosIEEE Trans. Circuits Syst. I, vol. 42, 1995.
9. L. O. Chua, M. Hasler, G. S. Moschytz, and J. NeirynckAutonomous cellular neural networks: A unified paradigm for pattern formation and active wave propagationIEEE Trans. Circuits Syst. I, vol. 42, pp. 559-577, 1995.
10. P. Arena, S. Baglio, L. Fortuna, and G. ManganaroSelf organization in a two-layer CNNIEEE Trans. Circuits Syst. I, vol. 45, pp. 157-162, Feb. 1998.
11. P. Arena, L. Fortuna, and G. ManganaroA CNN for pattern formation and active wave propagationProc. European Conf. Circuit Theory Design, ECCTD '97, Budapest, Hungary, Aug. 1997.
12. A. Perez-Munuzuri, V. Perez-Munuzuri, V. Ferez-Villar, and L. O. ChuaSpatiotemporal structures in discretely-coupled arrays of nonlinear circuits: A reviewInt. J. Bifurcation Chaos, vol. 5, no. 1, pp. 17-50, 1995.
13. L. Goras, L. O. Chua, and D. M. W. LeenaertsTuring patterns in CNN's-Part I: Once over lightlyIEEE Trans. Circuits Syst. I, vol. 42, pp. 602-611, 1995.
14. L. Goras and L. O. ChuaTuring patterns in CNN's-Part II: Equations and behaviorsIEEE Trans. Circuits Syst. I, vol. 42, pp. 612-626, 1995.
15. D. M. WilsonGenetic and sensory mechanisms for locomotion and orientation in animals Amer. Sei., vol. 60, pp. 358-365, 1972
16. R. L. CalabreseOscillation in motor pattern-generating networksCurr. Op. Neurobiol, 1995, 5, pp. 816-823.
17. P. S. G. SteinMotor systems, with specific reference to the control of locomotionAnn. Rev. Neurosci., 1978, pp. 61-81.
18. E. Niebur and P. ErdosTheory of the locomotion of nematodes: control of the somatic motor neurons by interneuronsMath. Biosci., vol. 118, pp. 51-82, 1993.
19. W. J. Davis and D. KennedyCommand interneurons controlling swimmeret movements in the lobster-I. Types of effects on motoneuronsJ. Neurophysiol., vol. 35, pp. 1-12, 1972.
20. R. M. Harris-Warrik and E. Marder "Modulation of neural networks for behaviorAnn. Rev. Neurosci., 39-57, 1991.
21. G. K. PearsonThe control of locomotionSei. Am., vol. 235, no. 6, pp. 72-86, 1976.
22. T. Roska and L. O. ChuaThe CNN universal machine: An analogic array computerIEEE Trans. Circuits Syst. II, vol. 40, pp. 163-173, 1993.
23. P. Arena, R. Caponetto, and L. Fortuna, L. OcchipintiMethod and circuit for motion generation and control in a multi-actuator electro-mechanical system European Patent 98830658.5, Oct. 30, 1998.