메뉴 건너뛰기




Volumn 84, Issue 7, 2004, Pages 472-482

Practical normal form computations for vector fields

Author keywords

Poincar Dulac normal form; Reduced vector field; Stability

Indexed keywords


EID: 3342914757     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200310115     Document Type: Article
Times cited : (10)

References (26)
  • 3
    • 0002428495 scopus 로고
    • Unique normal forms for vector fields and Hamiltonians
    • A. Baider, Unique normal forms for vector fields and Hamiltonians, J. Differ. Equ. 78, 33-52 (1989).
    • (1989) J. Differ. Equ. , vol.78 , pp. 33-52
    • Baider, A.1
  • 4
    • 0003156898 scopus 로고
    • Unique normal forms for planar vector fields
    • A. Baider and R. Churchill, Unique normal forms for planar vector fields, Math. Z. 199, 303-310 (1988).
    • (1988) Math. Z. , vol.199 , pp. 303-310
    • Baider, A.1    Churchill, R.2
  • 5
    • 0042302034 scopus 로고
    • The normal form of local mappings (Russian)
    • G. Belitskii, The normal form of local mappings (Russian), Usp. Mat. Nauk 30, 223 (1975).
    • (1975) Usp. Mat. Nauk , vol.30 , pp. 223
    • Belitskii, G.1
  • 8
    • 0002232810 scopus 로고
    • A simple global charcterization for normal forms of singular vector fields
    • C. Elphick, E. Tirapegui, M. W. Brachet, P. Coullet, and G. Iooss, A simple global charcterization for normal forms of singular vector fields, Physica D 29, 95-127 (1987).
    • (1987) Physica D , vol.29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.W.3    Coullet, P.4    Iooss, G.5
  • 9
    • 2942683084 scopus 로고    scopus 로고
    • Computer algebra methods for equivariant dynamical systems
    • Springer-Verlag, New York-Berlin
    • K. Gatermann, Computer Algebra Methods for Equivariant Dynamical Systems, Lecture Notes in Mathematics 1728, (Springer-Verlag, New York-Berlin, 2000).
    • (2000) Lecture Notes in Mathematics , vol.1728
    • Gatermann, K.1
  • 11
    • 0004290782 scopus 로고
    • Springer-Verlag, New York-Berlin
    • W. H. Greub, Linear Algebra (Springer-Verlag, New York-Berlin, 1975).
    • (1975) Linear Algebra
    • Greub, W.H.1
  • 13
    • 0000252593 scopus 로고
    • Bifurcation formulae derived from center manifold theory
    • B. Hassard and Y. H. Wan, Bifurcation formulae derived from center manifold theory, J. Math. Anal. Appl. 63, 297-312 (1978).
    • (1978) J. Math. Anal. Appl. , vol.63 , pp. 297-312
    • Hassard, B.1    Wan, Y.H.2
  • 15
    • 0003956970 scopus 로고
    • Addison-Wesley, Reading
    • S. Lang, Algebra (Addison-Wesley, Reading, 1965).
    • (1965) Algebra
    • Lang, S.1
  • 19
    • 4644326100 scopus 로고
    • On the computation of normal forms
    • Amsterdam, CWI Tract 84 (Math. Centrum, Centrum Wisk. Inform., Amsterdam, 1991)
    • J. A. Sanders, On the computation of normal forms, in: Computational Aspects of Lie Group Representations and Related Topics, Amsterdam, 1990, CWI Tract 84 (Math. Centrum, Centrum Wisk. Inform., Amsterdam, 1991), pp. 129-142.
    • (1990) Computational Aspects of Lie Group Representations and Related Topics , pp. 129-142
    • Sanders, J.A.1
  • 20
    • 0036123205 scopus 로고    scopus 로고
    • Geometric invariant theory in a model-independent analysis of spontaneous symmetry and supersymmetry breaking
    • G. Sartori, Geometric invariant theory in a model-independent analysis of spontaneous symmetry and supersymmetry breaking, Acta Appl. Math. 70, 183-207 (2002).
    • (2002) Acta Appl. Math. , vol.70 , pp. 183-207
    • Sartori, G.1
  • 21
    • 4644349344 scopus 로고    scopus 로고
    • On normal form computations
    • edited by P. K. Newton, P. Holmes, and A. Weinstein (Springer-Verlag, New York)
    • J. Scheurle and S. Walcher, On normal form computations, in: Geometry, Dynamics and Mechanics, edited by P. K. Newton, P. Holmes, and A. Weinstein (Springer-Verlag, New York, 2002), pp. 309-325.
    • (2002) Geometry, Dynamics and Mechanics , pp. 309-325
    • Scheurle, J.1    Walcher, S.2
  • 23
    • 0000575684 scopus 로고
    • On differential equations in normal form
    • S. Walcher, On differential equations in normal form, Math. Ann. 291, 293-314 (1991).
    • (1991) Math. Ann. , vol.291 , pp. 293-314
    • Walcher, S.1
  • 24
    • 0009824275 scopus 로고    scopus 로고
    • Multi-parameter symmetries of first-order ordinary differential equations
    • S. Walcher, Multi-parameter symmetries of first-order ordinary differential equations, J. Lie Theory 9, 249-269 (1999).
    • (1999) J. Lie Theory , vol.9 , pp. 249-269
    • Walcher, S.1
  • 25
    • 0036644812 scopus 로고    scopus 로고
    • Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling
    • P. Yu, Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling, J. Comput. Appl. Math. 144, 359-373 (2002).
    • (2002) J. Comput. Appl. Math. , vol.144 , pp. 359-373
    • Yu, P.1
  • 26
    • 4644261432 scopus 로고    scopus 로고
    • Web address: http://www.matha.rwth-aachen.de/~walcher/nofos


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.