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Volumn 7, Issue 2, 2002, Pages 221-238

Nonholonomic systems

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EID: 37249074407     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2002v007n02ABEH000206     Document Type: Article
Times cited : (12)

References (85)
  • 5
    • 52649166520 scopus 로고
    • Transformation of equations of motion with the help of linear integrals of motion (with application to the n bodies problem)
    • P. V. Woronetz. Transformation of equations of motion with the help of linear integrals of motion (with application to the n bodies problem). Proc. of Kiev Univ., 1907. V. 47. No1. P. IV.1-IV.82.
    • (1907) Proc. of Kiev Univ. , vol.47 , Issue.1
    • Woronetz, P.V.1
  • 6
    • 52649096197 scopus 로고    scopus 로고
    • Proc. of Kiev Univ., 47. No2. P. IV.83-IV.180.
    • Proc. of Kiev Univ. , vol.47 , Issue.2
  • 7
    • 0346222511 scopus 로고
    • On equations of motion of nonholonomic systems
    • P. V. Woronetz. On equations of motion of nonholonomic systems. Math. Collection. 1901. V. 22. No.. 4.
    • (1901) Math. Collection , vol.22 , Issue.4
    • Woronetz, P.V.1
  • 9
    • 52649111920 scopus 로고
    • One transformation of the equations of dynamics
    • P. V. Woronetz. One transformation of the equations of dynamics. Proc. of Kiev Univ.. 1902. No7. Part. 2. P. 1-14.
    • (1902) Proc. of Kiev Univ. , vol.7 , Issue.PART. 2 , pp. 1-14
    • Woronetz, P.V.1
  • 13
    • 52649152080 scopus 로고
    • Rigid body motion about a fixed point under nonholonomic constraint
    • Kharlamova
    • E. I. Zabelina (Kharlamova). Rigid body motion about a fixed point under nonholonomic constraint. Proc. of Donetsk. Industr. Inst.. 1957. V. 20. No1. P. 69-75.
    • (1957) Proc. of Donetsk. Industr. Inst. , vol.20 , Issue.1 , pp. 69-75
    • Zabelina, E.I.1
  • 14
    • 0035550708 scopus 로고    scopus 로고
    • Geometrical interpretation of the Poincarè-Chetaev-Rumyantsev equations
    • S. A. Zegzhda, M. P. Yushkov. Geometrical interpretation of the Poincarè-Chetaev-Rumyantsev equations. Appl. Math. and Mech.. 2001. V. 65. No. 5. P. 746-754.
    • (2001) Appl. Math. and Mech.. , vol.65 , Issue.5 , pp. 746-754
    • Zegzhda, S.A.1    Yushkov, M.P.2
  • 15
    • 0001799750 scopus 로고
    • On the "possible motions" of material systems with linear differential constraints of the second order
    • V. I. Kirgetov. On the "possible motions" of material systems with linear differential constraints of the second order. Appl. Math. and Mech.. 1959. V. 23. No. 4. P. 666-671.
    • (1959) Appl. Math. and Mech.. , vol.23 , Issue.4 , pp. 666-671
    • Kirgetov, V.I.1
  • 17
    • 84921240785 scopus 로고
    • Structure of the differential equations of mechanics reducible to the canonical form
    • S. N. Kirpichnikov. Structure of the differential equations of mechanics reducible to the canonical form. Bull. of Leningr. Univ., Ser. Math., Mech., Astr.. 1973. No19. P. 92-99.
    • (1973) Bull. of Leningr. Univ., Ser. Math., Mech., Astr. , vol.19 , pp. 92-99
    • Kirpichnikov, S.N.1
  • 21
    • 0345808826 scopus 로고
    • Reducing a problem of nonholonomic mechanics to the conditional mechanical problem of holonomic systems
    • V. S. Novoselov. Reducing a problem of nonholonomic mechanics to the conditional mechanical problem of holonomic systems. Memoirs of Leningr. State Univ., Ser. Math. Sciences. 1957. No. 31. no217. P. 28-49.
    • (1957) Memoirs of Leningr. State Univ., Ser. Math. Sciences , vol.31 , Issue.217 , pp. 28-49
    • Novoselov, V.S.1
  • 22
    • 0346440050 scopus 로고
    • Application of nonlinear nonholonomic coordinates in analytical mechanics
    • V. S. Novoselov. Application of nonlinear nonholonomic coordinates in analytical mechanics. Memoirs of Leningr. State Univ., Ser. Math. Sciences. 1957. No. 31. No217. P. 50-83.
    • (1957) Memoirs of Leningr. State Univ., Ser. Math. Sciences , vol.31 , Issue.217 , pp. 50-83
    • Novoselov, V.S.1
  • 27
    • 0002070357 scopus 로고
    • On Poincaré-Chetaev equations
    • V. V.Rumyantsev. On Poincaré-Chetaev equations. Appl. Math. and Mech.. 1994. V. 58. No. 3. P. 3-16.
    • (1994) Appl. Math. and Mech. , vol.58 , Issue.3 , pp. 3-16
    • Rumyantsev, V.V.1
  • 28
    • 0007069450 scopus 로고    scopus 로고
    • General equations of analytical mechanics
    • V. V. Rumyantsev. General equations of analytical mechanics. Appl. Math. and Mech.. 1996. V. 60. No. 6. P. 917-928.
    • (1996) Appl. Math. and Mech. , vol.60 , Issue.6 , pp. 917-928
    • Rumyantsev, V.V.1
  • 29
    • 0345808829 scopus 로고    scopus 로고
    • On Poincaré and Chetaev equations
    • V. V. Rumyantsev. On Poincaré and Chetaev equations. Appl. Math. and Mech.. 1998. V. 62. No. 4. P. 531-538.
    • (1998) Appl. Math. and Mech. , vol.62 , Issue.4 , pp. 531-538
    • Rumyantsev, V.V.1
  • 30
    • 0007060991 scopus 로고
    • On Hamilton principle for nonholonomic systems
    • V. V. Rumyantsev. On Hamilton principle for nonholonomic systems. Appl. Math. and Mech.. 1978. V. 42. No. 3. P. 387-399.
    • (1978) Appl. Math. and Mech. , vol.42 , Issue.3 , pp. 387-399
    • Rumyantsev, V.V.1
  • 31
    • 33746089450 scopus 로고
    • On Lagrange and Jacobi principle for nonholonomic systems
    • V. V. Rumyantsev. On Lagrange and Jacobi principle for nonholonomic systems. Appl. Math. and Mech.. 1979. V. 43. No. 4.
    • (1979) Appl. Math. and Mech. , vol.43 , Issue.4
    • Rumyantsev, V.V.1
  • 32
    • 52649110348 scopus 로고
    • On some problems of analytical dynamics
    • V. V. Rumyantsev. On some problems of analytical dynamics. Theor. and Appl. Mech.. 1978. V. 9. No1.
    • (1978) Theor. and Appl. Mech. , vol.9 , Issue.1
    • Rumyantsev, V.V.1
  • 33
    • 52649132594 scopus 로고
    • Determination of maximal and minimal properties of plane curves
    • N. Ya. Sonin. Determination of maximal and minimal properties of plane curves. Proc. of Warsaw Univ.. 1886. No1. P. 1-68.
    • (1886) Proc. of Warsaw Univ. , vol.1 , pp. 1-68
    • Sonin, N.Ya.1
  • 34
    • 52649170599 scopus 로고
    • Nonextremality of curves' families defined by dynamical equations of nonholonomic Chaplygin's systems
    • A. S. Sumbatov. Nonextremality of curves' families defined by dynamical equations of nonholonomic Chaplygin's systems. Diff. Eqs.. 1984. V. 20. No5. P. 897-899.
    • (1984) Diff. Eqs. , vol.20 , Issue.5 , pp. 897-899
    • Sumbatov, A.S.1
  • 35
    • 52649106203 scopus 로고
    • On generalization of the Jacobi method for nonholonomic systems
    • Mosc. Univ. Press
    • A. S. Sumbatov. On generalization of the Jacobi method for nonholonomic systems. In collection "Problems of history of math. and mech." No. 1. Mosc. Univ. Press. 1972. P. 100-112.
    • (1972) Collection Problems of History of Math. and Mech. , vol.1 , pp. 100-112
    • Sumbatov, A.S.1
  • 40
    • 52649169470 scopus 로고
    • One modification of the d'Alembert principle
    • G. K. Suslov. One modification of the d'Alembert principle. Math. Collection. 1901. V. 22. No. 4.
    • (1901) Math. Collection , vol.22 , Issue.4
    • Suslov, G.K.1
  • 42
    • 49949133249 scopus 로고
    • On equations of motion of nonholonomic mechanical systems in Poincaré-Chetaev variables
    • Fam Guen. On equations of motion of nonholonomic mechanical systems in Poincaré-Chetaev variables. Appl. Math and Mech.. 1967. V. 31. No. 2. P. 253-259.
    • (1967) Appl. Math and Mech.. , vol.31 , Issue.2 , pp. 253-259
    • Guen, F.1
  • 43
    • 0014324338 scopus 로고
    • On equations of motion of nonholonomic mechanical systems in Poincaré-Chetaev variables
    • Fam Guen. On equations of motion of nonholonomic mechanical systems in Poincaré-Chetaev variables. Appl. Math and Mech.. 1968. V. 32. No. 5. P. 804-814.
    • (1968) Appl. Math and Mech. , vol.32 , Issue.5 , pp. 804-814
    • Guen, F.1
  • 44
    • 0014509252 scopus 로고
    • One form of motion equations of mechanical system
    • Fam Guen. One form of motion equations of mechanical system. Appl. Math and Mech.. 1969. V. 33. No. 3. P. 397-402.
    • (1969) Appl. Math and Mech. , vol.33 , Issue.3 , pp. 397-402
    • Guen, F.1
  • 45
    • 0037823663 scopus 로고
    • On theory of motion of nonholonomic systems. The reducing multiplier theorem
    • S. A. Chaplygin. On theory of motion of nonholonomic systems. The reducing multiplier theorem. Math. Collection. 1911. V. 28. No2. P. 303-314.
    • (1911) Math. Collection , vol.28 , Issue.2 , pp. 303-314
    • Chaplygin, S.A.1
  • 46
    • 0007019737 scopus 로고
    • On motion of a heavy body of revolution on a horizontal plane
    • Anthropology and Ethnography Soc.
    • S. A. Chaplygin. On motion of a heavy body of revolution on a horizontal plane. Proc. Depart. Phys. Sciences of Amateurs of Natural Sciences, Anthropology and Ethnography Soc.. 1897. V. 9. No1. P. 10-16.
    • (1897) Proc. Depart. Phys. Sciences of Amateurs of Natural Sciences , vol.9 , Issue.1 , pp. 10-16
    • Chaplygin, S.A.1
  • 47
    • 54149093288 scopus 로고
    • On theory of motion of nonholonomic systems; examples of application of reducing multiplier method
    • M.-L.: Gostechizdat
    • S. A. Chaplygin. On theory of motion of nonholonomic systems; examples of application of reducing multiplier method. Collection of works, vol. III. M.-L.: Gostechizdat. 1950. P. 248-259.
    • (1950) Collection of Works , vol.3 , pp. 248-259
    • Chaplygin, S.A.1
  • 48
    • 0039562421 scopus 로고
    • On Poincaré equations
    • N. G. Chetaev. On Poincaré equations. Appl. Math. and Mech.. 1941. V. 5. No. 2. P. 253-262.
    • (1941) Appl. Math. and Mech.. , vol.5 , Issue.2 , pp. 253-262
    • Chetaev, N.G.1
  • 49
    • 52649132110 scopus 로고
    • On equations of motion of similarly changed body
    • N. G. Chetaev. On equations of motion of similarly changed body. Memoirs of Kazan State Univ.. 1954. V. 114.
    • (1954) Memoirs of Kazan State Univ. , vol.114
    • Chetaev, N.G.1
  • 50
  • 51
    • 0000828014 scopus 로고
    • On the Gauss principle
    • Soc. of Kazan State Univ. Ser. 3
    • N. G. Chetaev. On the Gauss principle. Proc. of Phys.-math. Soc. of Kazan State Univ.. 1932-33. V. 6. Ser. 3. P. 68-71.
    • (1932) Proc. of Phys.-Math. , vol.6 , pp. 68-71
    • Chetaev, N.G.1
  • 52
    • 52649152801 scopus 로고
    • Method of kinematical characteristics in analytical mechanics
    • I. Z. Shagi-Sultan. Method of Kinematical Characteristics in Analytical Mechanics. Alma-Ata. 1966.
    • (1966) Alma-Ata
    • Shagi-Sultan, I.Z.1
  • 55
    • 65749321090 scopus 로고
    • Exemple de movement d'un point assujetti á une liaison exprimée par une relation non linéaire entre les composantes de la vitesse
    • P. Appell. Exemple de movement d'un point assujetti á une liaison exprimée par une relation non linéaire entre les composantes de la vitesse. Rend. Circ. mat. Palermo. 1911. V. 32. P. 48-50.
    • (1911) Rend. Circ. Mat. Palermo , vol.32 , pp. 48-50
    • Appell, P.1
  • 56
    • 0001675104 scopus 로고
    • Sur une forme générale des équations de la dynamique
    • P. Appell. Sur une forme générale des équations de la Dynamique. C. R. Acad. Sci. Paris. 1899. V. 129.
    • (1899) C. R. Acad. Sci. Paris , vol.129
    • Appell, P.1
  • 57
    • 52649125957 scopus 로고
    • Sur des transformations de movements
    • P. Appell. Sur des transformations de movements. J. reine und angew. Math. 1892. V. 110. P. 37-41.
    • (1892) J. Reine und Angew. Math. , vol.110 , pp. 37-41
    • Appell, P.1
  • 58
    • 52649089954 scopus 로고
    • Remarques d'odre analytique sur une nouvelle forme des éuations de la dynamique
    • Ser. 5
    • P. Appell. Remarques d'odre analytique sur une nouvelle forme des éuations de la Dynamique. J. math. pure et appl. 1901. V. 7. Ser. 5. P. 5-12.
    • (1901) J. Math. Pure et Appl. , vol.7 , pp. 5-12
    • Appell, P.1
  • 59
    • 52649125048 scopus 로고
    • Sur les équations de lagrange et le principe d'hamilton. bull. société
    • P. Appell. Sur les équations de Lagrange et le principe d'Hamilton. Bull. Société Math. de France. 1898. V. 26. P. 265-267.
    • (1898) Math. de France , vol.26 , pp. 265-267
    • Appell, P.1
  • 60
    • 84942397575 scopus 로고
    • Ueber die eigenschaften monocyklischer und anderer damit verwandter systeme
    • L. Boltzmann. Ueber die Eigenschaften monocyklischer und anderer damit verwandter Systeme. J. reine und angew. Math. 1885. Bd. 98. H. 1. P. 68-94.
    • (1885) J. Reine und Angew. Math. , vol.98 , Issue.1 , pp. 68-94
    • Boltzmann, L.1
  • 63
    • 52649120549 scopus 로고
    • Sul moto di una sfera che rotola su di un piano fisso
    • Ser. 4
    • E. Crescini. Sul moto di una sfera che rotola su di un piano fisso. Atti Accad. Lincei. 1889. Ser. 4. V. 5. P. 204-209.
    • (1889) Atti Accad. Lincei , vol.5 , pp. 204-209
    • Crescini, E.1
  • 65
    • 84942830232 scopus 로고
    • Solution of the inverse problem of the calculus of variations
    • J. Douglas. Solution of the inverse problem of the calculus of variations. Trans. Amer. Math. Soc. 1941. V. 50. No1. P. 71-128.
    • (1941) Trans. Amer. Math. Soc. , vol.50 , Issue.1 , pp. 71-128
    • Douglas, J.1
  • 66
    • 0347483558 scopus 로고
    • Extension of Lagrange's equations
    • N. M. Ferrers. Extension of Lagrange's equations. J. Pure and Appl. Math.. 1872. V. 12. No45. P. 1-5.
    • (1872) J. Pure and Appl. Math. , vol.12 , Issue.45 , pp. 1-5
    • Ferrers, N.M.1
  • 67
    • 0001775652 scopus 로고
    • On the fundamental formulae of dynamics
    • J. W. Gibbs. On the Fundamental Formulae of Dynamics. Amer. J. Math. Pure and Appl. 1879. V. 2. No1. P. 49-64.
    • (1879) Amer. J. Math. Pure and Appl. , vol.2 , Issue.1 , pp. 49-64
    • Gibbs, J.W.1
  • 71
    • 0003273906 scopus 로고
    • Nachrichten Kön. Ges. Wissenschaften zu Gottingen Math.-Phys. Kl.
    • O. Hölder. Ueber die Prinzipien von Hamilton und Maupertius. Nachrichten Kön. Ges. Wissenschaften zu Gottingen Math.-Phys. Kl. 1896. H. 2. P. 122-157.
    • (1896) Ueber die Prinzipien von Hamilton und Maupertius , vol.2 , pp. 122-157
    • Hölder, O.1
  • 75
    • 52649180811 scopus 로고
    • Sur les mouvement d'un corps de revolution roulant sur un plan horizontal
    • E. Lindelöf. Sur les mouvement d'un corps de revolution roulant sur un plan horizontal. Acta Societatia Scientiarum Fennicae. 1895. V. 20. No10. P. 3-18.
    • (1895) Acta Societatia Scientiarum Fennicae , vol.20 , Issue.10 , pp. 3-18
    • Lindelöf, E.1
  • 77
    • 52649137320 scopus 로고
    • Ueber die rollende bewegung eines körpers auf einer gegebenen horizontalebene unter dem einfluss der schwere
    • C. Neumann. Ueber die rollende Bewegung eines Körpers auf einer gegebenen Horizontalebene unter dem Einfluss der schwere. Math. Ann. 1886. Bd. 27.
    • (1886) Math. Ann. , vol.27
    • Neumann, C.1
  • 79
    • 0001229661 scopus 로고
    • Sur une forme nouvelle des équations de la méchanique
    • H. Poincaré. Sur une forme nouvelle des équations de la méchanique. C. R. Acad. Sci. Paris. 1901. V. 132. P. 369-371.
    • (1901) C. R. Acad. Sci. Paris , vol.132 , pp. 369-371
    • Poincaré, H.1
  • 82
    • 0018035861 scopus 로고
    • On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems
    • V. V. Rumyantsev, A. S. Sumbatov. On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems. ZAMM. 1978. Bd. 58. P. 477-481.
    • (1978) ZAMM , vol.58 , pp. 477-481
    • Rumyantsev, V.V.1    Sumbatov, A.S.2
  • 83
    • 0003284838 scopus 로고
    • Classical dynamics
    • Berlin-Göttingen-Heidelberg. Springer-Verlag
    • J. L. Synge. Classical Dynamics. Handbuch der Physik. Encyclopedia of Physics. V. III/1. Berlin-Göttingen-Heidelberg. Springer-Verlag. 1960.
    • (1960) Handbuch der Physik. Encyclopedia of Physics , vol.3 , Issue.1
    • Synge, J.L.1


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