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Volumn 52, Issue 3, 2001, Pages 421-432

A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria

Author keywords

Discretization; Hartman Grobman theorem; Retarded functional differential equation

Indexed keywords


EID: 0035533247     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001554     Document Type: Article
Times cited : (20)

References (13)
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    • Aulbach, B.1    Garay, B.M.2
  • 2
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    • Beyn, W.J.1
  • 4
    • 0007273836 scopus 로고    scopus 로고
    • Unstable manifolds for RFDE under discretization: The Euler method
    • to appear
    • G. Farkas, Unstable manifolds for RFDE under discretization: The Euler method, Comp. Math. Applic. (to appear)
    • Comp. Math. Applic.
    • Farkas, G.1
  • 5
    • 0000076579 scopus 로고
    • Discretization and some qualitative properties of ordinary differential equations about equilibria
    • B.M. Garay, Discretization and some qualitative properties of ordinary differential equations about equilibria, Acta Math. Univ. Comenianae 62 (1993), 249-275.
    • (1993) Acta Math. Univ. Comenianae , vol.62 , pp. 249-275
    • Garay, B.M.1
  • 8
    • 0346338234 scopus 로고    scopus 로고
    • Periodic orbits of delay differential equations under discretization
    • K. In 'T Hout and C. Lubich, Periodic orbits of delay differential equations under discretization, BIT 38 (1998), 72-91.
    • (1998) BIT , vol.38 , pp. 72-91
    • In 'T Hout, K.1    Lubich, C.2
  • 9
    • 0031581231 scopus 로고    scopus 로고
    • Structural stability of flows under numerics
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    • (1997) J. Differential Equations , vol.141 , pp. 1-12
    • Li, M.-C.1
  • 10
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    • A Hartman-Grobman theorem for a class of retarded functional differential equations
    • N. Sternberg, A Hartman-Grobman Theorem for a class of retarded functional differential equations, J. Math. Anal. Appl. 176 (1993), 156-165.
    • (1993) J. Math. Anal. Appl. , vol.176 , pp. 156-165
    • Sternberg, N.1
  • 11
    • 38249039169 scopus 로고
    • On the Hartman-Grobman theorem for maps
    • J. Quandt, On the Hartman-Grobman theorem for maps, J. Differential Equations 64 (1986), 154-164.
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    • Quandt, J.1
  • 12
    • 0002849416 scopus 로고
    • A Hartman-Grobman theorem for scalar reaction-diffusion equations
    • K.N. Lu, A Hartman-Grobman Theorem for scalar reaction-diffusion equations, J. Differential Equations 93 (1991), 364-394.
    • (1991) J. Differential Equations , vol.93 , pp. 364-394
    • Lu, K.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.