[Alouges, F., DeSimone, A. and Lefebvre, A. (2008). Optimal Strokes for low Reynolds number swimmers: An example, Journal of Nonlinear Science 18: 27-302.10.1007/s00332-007-9013-7]Search in Google Scholar
[Becker, L.E, Koehler, S.A. and Stone, H.A. (2003). On self-propulsion of micro-machines at low Reynolds number: Purcell’s three-link swimmer, Journal of FluidMechanics 490: 15-35.10.1017/S0022112003005184]Search in Google Scholar
[Belter, D. and Skrzypczy´nski, P (2010). A biologically inspired approach to feasible gait learning for a hexapod robot, InternationalJournal of Applied Mathematics and ComputerScience 20(1): 69-84, DOI: 10.2478/v10006-010-0005-7.10.2478/v10006-010-0005-7]Search in Google Scholar
[Childress, S. (1981). Mechanics of Swimming and Flying, Cambridge University Press, Cambridge.10.1017/CBO9780511569593]Search in Google Scholar
[Dal Maso, Gi., DeSimone, A. and Morandotti, M. (2011). An existence and uniqueness result for the motion of self-propelled micro-swimmers, SIAM Journal of MathematicalAnalysis 43: 1345-1368.10.1137/10080083X]Search in Google Scholar
[Fukuda, T., Kawamoto, A., Arai, F. and Matsuura, H. (1995). Steering mechanism and swimming experiment of micro mobile robot in water, Proceedings of Micro Electro MechanicalSystems (MEMS’95), Amsterdam, The Netherlands, pp. 300-305.]Search in Google Scholar
[Fauci, L. and Peskin, C.S. (1988). A computational model of aquatic animal locomotion, Journal of ComputationalPhysics 77: 85-108.10.1016/0021-9991(88)90158-1]Search in Google Scholar
[Fauci, L. (1993). Computational modeling of the swimming of biflagellated algal cells, Contemporary Mathematics 141: 91-102.10.1090/conm/141/1212579]Search in Google Scholar
[Galdi, G.P. (1999). On the steady self-propelled motion of a body in a viscous incompressible fluid, Archive for RationalMechanics and Analysis 1448: 53-88.10.1007/s002050050156]Search in Google Scholar
[Galdi, G.P. (2002). On the motion of a rigid body in a viscous liquid: A mathematical analysis with applications, in S. Friedlander and D. Serre (Eds.), Handbook of MathematicalFluid Mechanics, Elsevier Science, Amsterdam, pp. 653-791.10.1016/S1874-5792(02)80014-3]Search in Google Scholar
[Gray, J. (1932). Study in animal locomotion IV: The propulsive power of the dolphin, Journal of Experimental Biology 10: 192-199.10.1242/jeb.13.2.192]Search in Google Scholar
[Gray, J. and Hancock, G.J. (1955). The propulsion of sea-urchin spermatozoa, Journal of Experimental Biology 32: 802.10.1242/jeb.32.4.802]Search in Google Scholar
[Guo, S. (2002). Afin type of micro-robot in pipe, Proceedingsof the 2002 International Symposium on Micromechatronicsand Human Science (MHS 2002), Ngoya, Japan, pp. 93-98.]Search in Google Scholar
[Gurtin, M.E. (1981). An Introduction to Continuum Mechanics, Academic Press, New York, NY.]Search in Google Scholar
[Hawthorne,M.F., Zink, J.I., Skelton, J.M., Bayer,M.J., Liu, Ch., Livshits, E., Baer, R. and Neuhauser, D. (2004). Electrical or photocontrol of rotary motion of a metallacarborane, Science 303: 1849.10.1126/science.1093846]Search in Google Scholar
[Happel, V. and Brenner, H. (1965). Low Reynolds Number Hydrodynamics, Prentice Hall, Upper Saddle River, NJ.]Search in Google Scholar
[Hirose, S. (1993). Biologically Inspired Robots: Snake-likeLocomotors and Manipulators, Oxford University Press, Oxford.]Search in Google Scholar
[Kanso. E., Marsden, J.E., Rowley, C.W. and Melli-Huber, J. (2005). Locomotion of articulated bodies in a perfect fluid, Journal of Nonlinear Science 15: 255-289.10.1007/s00332-004-0650-9]Search in Google Scholar
[Khapalov, A.Y. (1999). Approximate controllability properties of the semilinear heat equation with lumped controls, InternationalJournal of Applied Mathematics and ComputerScience 9(4): 751-765.10.1051/cocv:1999104]Search in Google Scholar
[Khapalov, A.Y. (2005). The well-posedness of a model of an apparatus swimming in the 2-D Stokes fluid, Technical Report 2005-5, Washington State University, Department of Mathematics, http://www.math.wsu.edu/TRS/2005-5.pdf.]Search in Google Scholar
[Khapalov, A.Y. and Eubanks, S. (2009). The wellposedness of a 2-D swimming model governed in the nonstationary Stokes fluid by multiplicative controls, Applicable Analysis88: 1763-1783, DOI:10.1080/00036810903401222.10.1080/00036810903401222]Search in Google Scholar
[Khapalov, A.Y. (2010). Controllability of Partial DifferentialEquations Governed by Multiplicative Controls, Lecture Notes in Mathematics Series, Vol. 1995, Springer-Verlag, Berlin/Heidelberg.]Search in Google Scholar
[Khapalov, A.Y. and Trinh, G. (2013). Geometric aspects of transformations of forces acting upon a swimmer in a 3-D incompressible fluid, Discrete and Continuous DynamicalSystems Series A 33: 1513-1544.10.3934/dcds.2013.33.1513]Search in Google Scholar
[Khapalov, A.Y. (2013). Micro motions of a swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, arXiv: 1205.1088 [math.AP], (preprint).]Search in Google Scholar
[Koiller, J., Ehlers, F. and Montgomery, R. (1996). Problems and progress in microswimming, Journal of Nonlinear Science6: 507-541.10.1007/BF02434055]Search in Google Scholar
[Ladyzhenskaya, O.A. (1963). The Mathematical Theory of ViscousIncompressible Flow, Cordon and Breach, New York, NY.]Search in Google Scholar
[Lighthill, M.J. (1975). Mathematics of Biofluid Dynamics, Society for Industrial and Applied Mathematics, Philadelphia, PA.]Search in Google Scholar
[Mason, R. and Burdick, J.W. (2000). Experiments in carangiform robotic fish locomotion, Proceedings of theIEEE International Conference on Robotics and Automation,San Francisco, CA, USA, pp. 428-435.]Search in Google Scholar
[McIsaac, K.A. and Ostrowski, J.P. (2000). Motion planning for dynamic eel-like robots, Proceedings of the IEEE InternationalConference on Robotics and Automation, San Francisco,CA, USA, pp. 1695-1700.]Search in Google Scholar
[Martinez, S. and Cortes, J. (2001). Geometric control of robotic locomotion systems, Proceedings of the 10th Fall Workshopon Geometry and Physics, Miraflores de la Sierra,Spain, Vol. 4, pp. 183-198.]Search in Google Scholar
[Morgansen, K.A., Duindam, V., Mason, R.J., Burdick, J.W. and Murray, R.M. (2001). Nonlinear control methods for planar carangiform robot fish locomotion, Proceedings ofthe IEEE International Conference on Robotics and Automation,Seoul, Korea, pp. 427-434.]Search in Google Scholar
[Peskin, C.S. (1977). Numerical analysis of blood flow in the heart, Journal of Computational Physics 25: 220-252.10.1016/0021-9991(77)90100-0]Search in Google Scholar
[Peskin, C.S. and McQueen, D.M. (1994). A general method for the computer simulation of biological systems interacting with fluids, SEB Symposium on Biological Fluid Dynamics,Leeds, UK.]Search in Google Scholar
[San Martin, J., Takashi, T. and Tucsnak, M. (2007). A control theoretic approach to the swimming of microscopic organisms, Quarterly Applied Mathematics 65: 405-424.10.1090/S0033-569X-07-01045-9]Search in Google Scholar
[San Martin, J., Scheid, J.-F., Takashi, T. and Tucsnak, M. (2008). An initial and boundary value problem modeling of fish-like swimming, Archive of Rational Mechanics andAnalysis 188: 429-455.10.1007/s00205-007-0092-2]Search in Google Scholar
[Shapere, A. and Wilczeck, F. (1989). Geometry of self-propulsion at low Reynolds number, Journal of FluidMechanics 198: 557-585.10.1017/S002211208900025X]Search in Google Scholar
[Sigalotti, M. and Vivalda, J.-C. (2009). Controllability properties of a class of systems modeling swimming microscopic organisms, ESAIM: Control, Optimisationand Calculus of Variations 16: 1053-1076.10.1051/cocv/2009034]Search in Google Scholar
[Taylor, G.I. (1951). Analysis of the swimming of microscopic organisms, Proceeding of the Royal Society of London A209: 447-461.10.1098/rspa.1951.0218]Search in Google Scholar
[Taylor, G.I. (1952). Analysis of the swimming of long and narrow animals, Proceedings of the Royal Society of LondonA 214(1117): 158-183.10.1098/rspa.1952.0159]Search in Google Scholar
[Temam, R. (1984). Navier-Stokes Equations, North-Holland, Amsterdam.]Search in Google Scholar
[Trintafyllou, M.S., Trintafyllou, G.S. and Yue, D.K.P. (2000). Hydrodynamics of fishlike swimming, Annual Review ofFluid Mechanics 32: 33-53.10.1146/annurev.fluid.32.1.33]Search in Google Scholar
[Tytell, E.D., Hsu, C.-Y, Williams, T.L., Cohen, A.H. and Fauci, L.J. (2010). Interactions between internal forces, body stiffness, and fluid environment in a neuromechanical model of lamprey swimming, Proceedings of the NationalAcademy Sciences, USA 107: 19832-19837.10.1073/pnas.1011564107]Search in Google Scholar
[Wu, T.Y. (1971). Hydrodynamics of swimming fish and cetaceans, Advances in Applied Mathematics 11: 1-63.10.1016/S0065-2156(08)70340-5]Search in Google Scholar