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Volumn 35, Issue 24, 2002, Pages 5059-5077

Symmetries and infinitesimal symmetries of singular differential equations

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EID: 0041969799     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/24/306     Document Type: Article
Times cited : (19)

References (35)
  • 2
    • 0002540789 scopus 로고    scopus 로고
    • Symmetry and reduction in implicit generalized Hamiltonian systems
    • [BS01]
    • [BS01] Blankenstein G and van der Schaft A J 2001 Symmetry and reduction in implicit generalized Hamiltonian systems Rep. Math. Phys. 47 57-100
    • (2001) Rep. Math. Phys. , vol.47 , pp. 57-100
    • Blankenstein, G.1    Van der Schaft, A.J.2
  • 4
    • 0024036931 scopus 로고
    • Normal forms for constrained nonlinear differential equations: Part I. Theory
    • [CO88]
    • [CO88] Chua L O and Oka H 1988 Normal forms for constrained nonlinear differential equations: Part I. Theory IEEE Trans. Circuits Syst. 35 881-901
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 881-901
    • Chua, L.O.1    Oka, H.2
  • 6
    • 0003398737 scopus 로고
    • [Die70] (Paris: Gauthier-Villars)
    • [Die70] Dieudonné J 1970 Élements d'analyse vol 3 (Paris: Gauthier-Villars)
    • (1970) Élements d'Analyse , vol.3
    • Dieudonné, J.1
  • 10
    • 36749116497 scopus 로고
    • Presymplectic manifolds and the Dirac-Bergmann theory of constraints
    • [GNH78]
    • [GNH78] Gotay M J, Nester J M and Hinds G 1978 Presymplectic manifolds and the Dirac-Bergmann theory of constraints J. Math. Phys. 19 2388-99
    • (1978) J. Math. Phys. , vol.19 , pp. 2388-2399
    • Gotay, M.J.1    Nester, J.M.2    Hinds, G.3
  • 11
    • 0000226055 scopus 로고
    • Presymplectic Lagrangian systems I: The constraint algorithm and the equivalence theorem
    • [GN79]
    • [GN79] Gotay M J and Nester J M 1979 Presymplectic Lagrangian systems I: the constraint algorithm and the equivalence theorem Ann. Inst. H Poincaré A 30 129-42
    • (1979) Ann. Inst. H Poincaré A , vol.30 , pp. 129-142
    • Gotay, M.J.1    Nester, J.M.2
  • 12
    • 0039862111 scopus 로고
    • Constrained systems: A unified geometric approach
    • [GP91]
    • [GP91] Gràcia X and Pons J M 1991 Constrained systems: a unified geometric approach Int. J. Theor. Phys. 30 511-6
    • (1991) Int. J. Theor. Phys. , vol.30 , pp. 511-516
    • Gràcia, X.1    Pons, J.M.2
  • 13
    • 0001146699 scopus 로고
    • A generalized geometric framework for constrained systems
    • [GP92]
    • [GP92] Gràcia X and Pons J M 1992 A generalized geometric framework for constrained systems Differ. Geom. Appl. 2 223-47
    • (1992) Differ. Geom. Appl. , vol.2 , pp. 223-247
    • Gràcia, X.1    Pons, J.M.2
  • 14
    • 0037709866 scopus 로고
    • Higher order Lagrangian systems: Geometric structures, dynamics, and constraints
    • [GPR91]
    • [GPR91] Gràcia X, Pons J M and Roman-Roy N 1991 Higher order Lagrangian systems: geometric structures, dynamics, and constraints J. Math. Phys. 32 2744-63
    • (1991) J. Math. Phys. , vol.32 , pp. 2744-2763
    • Gràcia, X.1    Pons, J.M.2    Roman-Roy, N.3
  • 15
    • 0038047642 scopus 로고
    • Higher-order conditions for singular Lagrangian dynamics
    • [GPR92]
    • [GPR92] Gràcia X, Pons J M and Román-Roy N 1992 Higher-order conditions for singular Lagrangian dynamics J. Phys. A: Math. Gen. 25 1989-2004
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 1989-2004
    • Gràcia, X.1    Pons, J.M.2    Román-Roy, N.3
  • 16
    • 0021724073 scopus 로고
    • Solutions of singular constrained differential equations: A generalization of circuits containing capacitor-only loops and inductor-only cutsets
    • [HB84]
    • [HB84] Haggman B C and Bryant P P 1984 Solutions of singular constrained differential equations: a generalization of circuits containing capacitor-only loops and inductor-only cutsets IEEE Trans. Circuits Syst. 31 1015-25
    • (1984) IEEE Trans. Circuits Syst. , vol.31 , pp. 1015-1025
    • Haggman, B.C.1    Bryant, P.P.2
  • 20
    • 0030529636 scopus 로고    scopus 로고
    • Symmetries and constants of the motion for singular Lagrangian systems
    • [LM96]
    • [LM96] de León M and Martín de Diego D 1996 Symmetries and constants of the motion for singular Lagrangian systems Int. J. Theor. Phys. 35 975-1011
    • (1996) Int. J. Theor. Phys. , vol.35 , pp. 975-1011
    • De León, M.1    Martín de Diego, D.2
  • 22
    • 0011497434 scopus 로고
    • Symmetries and constants of the motion for dynamics in implicit form
    • [MMT92]
    • [MMT92] Marmo G, Mendella G and Tulczijew W M 1992 Symmetries and constants of the motion for dynamics in implicit form Ann. Inst. H Poincaré A 57 147-66
    • (1992) Ann. Inst. H Poincaré A , vol.57 , pp. 147-166
    • Marmo, G.1    Mendella, G.2    Tulczijew, W.M.3
  • 23
  • 24
    • 0031556893 scopus 로고    scopus 로고
    • Constrained Hamiltonian systems as implicit differential equations
    • [MMT97]
    • [MMT97] Marmo G, Mendella G and Tulczijew W M 1997 Constrained Hamiltonian systems as implicit differential equations J. Phys. A: Math. Gen. 30 277-93
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 277-293
    • Marmo, G.1    Mendella, G.2    Tulczijew, W.M.3
  • 25
    • 0041658086 scopus 로고    scopus 로고
    • Implicit quasilinear differential systems: A geometrical approach
    • [MR99]
    • [MR99] Muñoz-Lecanda M C and Roman-Roy N 1999 Implicit quasilinear differential systems: a geometrical approach El. J. Differ. Equ. 1999 1-33
    • (1999) El. J. Differ. Equ. , vol.1999 , pp. 1-33
    • Muñoz-Lecanda, M.C.1    Roman-Roy, N.2
  • 26
    • 0000687764 scopus 로고
    • Infinitesimal symplectic relations and generalized Hamiltonian dynamics
    • [MT78]
    • [MT78] Menzio M R and Tulczyjew W M 1978 Infinitesimal symplectic relations and generalized Hamiltonian dynamics Ann. Inst. H Poincaré A 28 349-67
    • (1978) Ann. Inst. H Poincaré A , vol.28 , pp. 349-367
    • Menzio, M.R.1    Tulczyjew, W.M.2
  • 28
    • 0025640697 scopus 로고
    • On a geometrical interpretation of differential-algebraic equations
    • [Rei90]
    • [Rei90] Reich S 1990 On a geometrical interpretation of differential-algebraic equations Circuits Syst. Signal Process. 9 367-82
    • (1990) Circuits Syst. Signal Process. , vol.9 , pp. 367-382
    • Reich, S.1
  • 29
    • 0025807374 scopus 로고
    • On an existence and uniqueness theory for nonlineal differential-algebraic equations
    • [Rei91]
    • [Rei91] Reich S 1991 On an existence and uniqueness theory for nonlineal differential-algebraic equations Circuits Syst. Signal Process. 10 343-59
    • (1991) Circuits Syst. Signal Process. , vol.10 , pp. 343-359
    • Reich, S.1
  • 30
    • 84966208410 scopus 로고
    • Differential-algebraic systems as differential equations on manifolds
    • [Rhe84]
    • [Rhe84] Rheinboldt W C 1984 Differential-algebraic systems as differential equations on manifolds Math. Comput. 43 473-82
    • (1984) Math. Comput. , vol.43 , pp. 473-482
    • Rheinboldt, W.C.1
  • 31
    • 84972545522 scopus 로고
    • A general existence and uniqueness theory for implicit differential-algebraic equations
    • [RR91]
    • [RR91] Rabier P J and Rheinboldt W C 1991 A general existence and uniqueness theory for implicit differential-algebraic equations Differ. Integral Equ. 4 563-82
    • (1991) Differ. Integral Equ. , vol.4 , pp. 563-582
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 32
    • 0000877389 scopus 로고
    • A geometric treatment of implicit differential-algebraic equations
    • [RR94]
    • [RR94] Rabier P J and Rheinboldt W C 1994 A geometric treatment of implicit differential-algebraic equations J. Differ. Equ. 109 110-46
    • (1994) J. Differ. Equ. , vol.109 , pp. 110-146
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 33
    • 36749105971 scopus 로고
    • First-order equations of motion for classical mechanics
    • [Ski83]
    • [Ski83] Skinner R 1983 First-order equations of motion for classical mechanics J. Math. Phys. 24 2581-8
    • (1983) J. Math. Phys. , vol.24 , pp. 2581-2588
    • Skinner, R.1
  • 34
    • 36749118052 scopus 로고
    • Generalized Hamiltonian dynamics: I. Formulation on T* Q ⊕ T Q
    • [SR83]
    • [SR83] Skinner R and Rusk R 1983 Generalized Hamiltonian dynamics: I. Formulation on T* Q ⊕ T Q J. Math. Phys. 24 2589-94
    • (1983) J. Math. Phys. , vol.24 , pp. 2589-2594
    • Skinner, R.1    Rusk, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.