A biologically consistent model of legged locomotion gaits

Biological Cybernetics

Volumn 76, Issue 6, 1997, Pages 429-440

  Shastri, S V ^a,b  

^a Yale University   (United States)

^b SRI INTERNATIONAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003812746     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050356     Document Type: Article

References (50)

1. Anderson BD, Full RJ (1990) Mechanics of locomotion in centipedes. Am Zool 30:135-135
2. Ashwin P, Swift JW (1992) The dynamics of n weakly coupled oscillators. J Nonlinear Sci 2:69-108
3. Bay JS, Hemami H (1987) Modeling of a neural pattern generator with coupled nonlinear oscillators. IEEE Trans Biomed Eng 34:297-306
4. Beer RD, Ritzman RE, McKenna T, (1993) Biological neural networks in invertebrate neuroethology and robotics. Academic Press, Boston, Mass
5. Brady M (1989) Robotics science. MIT Press, Cambridge, Mass
6. Camhi JM (1988) Escape behavior in the cockroach-distributed neural processing. Experientia 44(5):401-408
7. Casey TM (1991) Energetics of caterpillar locomotion: biomechanical constraints of a hydraulic skeleton. Science 252:112-114
8. Cohen AH, Rossigno S, Grillner S (1988) Neural control of rhythmic movements in vertebrates. (Wiley series in neurobiology) Wiley, New York
9. Collins JJ, Stewart IN (1993a) Hexapedal gaits and coupled nonlinear oscillator models. Biol Cybern 68:287-298
10. Collins JJ, Stewart IN (1993b) Coupled nonlinear oscillators and symmetries of animal gaits. J Nonlinear Sci 3:349-392
11. Collins JJ, Richmond SA (1994) Hard-wired central pattern generators for quadrupedal locomotion. Biol Cybern 71:375-385
12. Ermentrout GB, Kopell N (1990) Oscillator death in systems of coupled neural oscillators. SIAM J Appl Math 50:125-146
13. Ermentrout GB, Kopell N (1991) Multiple pulse interactions and averaging in systems of coupled oscillators. J Math Biol 25:195-217
14. Ermentrout GB, Kopell N (1994) Inhibition-produced patterning in chains of coupled nonlinear oscillators. SIAM J Appl Math 54:478-507
15. Franklin GF, Powell JD, Emami-Naeini A (1994) Feedback control of dynamic dystems. Addison Wesley, Reading, Mass
16. Graham D (1985) Pattern and control of walking in insects. Adv Insect Physiol 18:31-140
17. Guckenheimer J, Holmes P (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, Berlin Heidelberg New York
18. Guckenheimer J, Gueron S, Harris-Warwick RM (1993) Mapping the dynamics of a bursting neuron. Phil Trans R Soc B 341:345-359
19. Hirose S (1991) Generalized standard foot trajectory for a quadraped walking vehicle. Int J Robotics Res 10(1):3-12
20. Isidori A (1989) Nonlinear control systems. Springer, Berlin Heidelberg New York
21. Jayne BC, Davis JD (1991) Kinematics and performance capacity for the concertina locomotion of a snake (Coluber constrictor). J Exp Biol 156:539-556
22. Joos B (1992) Adaptations for locomotion at low body temperatures in eastern tent caterpillars, Malacosoma-americamim. Phys Zool 65:1148-1161
23. Kalman RE, Falb PL, Arbib MA (1969) Topics in mathematical systems theory, McGraw Hill, New York
24. Kanellakopoulos I, Kokotovic PV, Morse, AS (1991) Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans Automatic Control 36:1241-1253
25. Kelso JAS (1994) In: ONR workshop on dynamic neural systems. Florida, April 1994
26. Kelso JAS, Bressler SL, Buchanan S, Deguzman GC, Ding M (1992) A phase-transition in hman brain and behavior. Phys Lett A 169:134-144
27. Kopell N, Ermentrout GB, Williams TL (1991) On chains of oscillators forced at one end. SIAM J Appl Math 51:1397-1417
28. Mathematical biosciences (1988) vol 90, nos. 1 and 2. Elsevier, Amsterdam
29. Matsumoto G, Aihara K, Hanyu Y, Takahashi N, Toshizawa S (1987) Chaos and phase locking in normal squid axons. Phys Rev Lett A 123:162-166
30. Matsouka K (1987) Mechanisms of frequency and pattern control in the neural rhythm generators. Biol Cybern 56:345-353
31. McGhee RB (1967) Finite state control of quadraped locomotion. Simulation 9:135-140
32. McGhee RB (1983) Vehicular legged locomotion. In: Saridis GN (ed) Advances in automation and robotics. JAI Press
33. Mpistos G (1994) In: ONR Workshop on dynamic neural systems. Florida, April 1994
34. 2n + 2 = εαcoswt, α > 0, ω > 0 independent of e. SIAM J Appl Math 31:345-357
35. Raibert M (1984) Special issue on locomotion, Int J Robotics Res. MIT Press, Cambridge, Mass
36. Raibert M (1990) Special issue on locomotion. Int J Robotics Res. MIT Press, Cambridge, Mass
37. Schöner G (1990) A dynamic theory of coordination of discrete movement. Biol Cybem 63:257-270
38. Schoner G, Kelso JAS (1988) Dynamic pattern generation in behavioral and neural systems. Science 239:1513-1520
39. Secor SM, Jayne BC, Bennett AF (1992) Locomotor performance and energetic cost of sidewinding by the snake crotalus-cerastes. J Exp Biol 163:1-14
40. Shan Y, Koren Y (1993) Design and motion planning of a mechanical snake. IEEE Trans Sys Man Cybem 23:1091-1100
41. Taga G, Yamaguchi Y, Shimuzu H (1991) Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment. Biol Cybern 54:147-159
42. Takahashi N, Hanyu Y, Musha T, Kubo R, Matsumoto G (1990) Global bifurcation structure in periodically stimulated giant-axons of squid. Physica D 43:318-334
43. van der Pol B (1934) The nonlinear theory of electric oscillations. Proc Inst Radio Eng 22:1051
44. van der Pol B, van der Mark J (1928) The heartbeat considered as a relaxation oscillation and an electrical model of the heart. Phil Mag 6:365
45. Shastri SV (1997) On the control of legged locomotion gaits. In: Zelkovitz M (ed) Advances in Computers. Academic Press, New York (in press)
46. Venkataraman ST (1997) Control of hexapedal locomotion on rough terrain. In: Gulati S (ed) Perceptual robotics. Springer, Berlin Heidelberg New York (in press)
47. Venkataraman ST (1993) Biologically motivated control of robotic locomotion on rough terrain. JPL Technical Memorandum and Funded ONR Grant Proposal
48. Wilson DM (1996) Insect walking. Annu Rev Entomol 11:103-122
49. Woledge RC, Curtin NA (1990) Locomotion: the price of being a snake. Nature 347:619-620
50. Yuasa H, Ito M (1990) Coordination of many oscillators and generation of locomotory patterns. Biol Cybern 63:177-184