SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Differential Equations

Volumn 177, Issue 2, 2001, Pages 419-453

Canards in ℝ3

(2) Szmolyan, Peter a Wechselberger, Martin a

a VIENNA UNIVERSITY OF TECHNOLOGY (Austria)

Author keywords

Blow up; Canard solutions; Singular perturbations

Indexed keywords

EID: 0035842862 PISSN: 00220396 EISSN: None Source Type: Journal
DOI: 10.1006/jdeq.2001.4001 Document Type: Article

Times cited : (317)

References (28)

1
- 0003851731
- National Bureau of Standards Applied Mathematics Series Natl. Bur. of Standards, Washington, DC
- (1964) "Handbook of Mathematical Functions" , vol.55
- Abramowitz, M.¹ Stegun, A.²

2
- 0001938848
- Chasse au canard
- Nos. 1-3
- (1981) Collect. Math , vol.31-32 , pp. 37-119
- Benoit, E.¹ Callot, J.F.² Diener, F.³ Diener, M.⁴

3
- 0001031806
- 3 et leurs canards
- (1983) Asterisque , vol.109-110 , pp. 159-191
- Benoit, E.¹

4
- 51249174241
- Canards et enlacements
- (1990) Publ. Inst. Hautes Études Sci , vol.72 , pp. 63-91
- Benoit, E.¹

5
- 0003613267
- "Critical Phenomena in Dynamical Systems of van der Pol Type"
- Thesis, Rijksuniversiteit te Utrecht, The Netherlands
- (1993)
- Braaksma, B.¹

6
- 0002751215
- Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
- (1990) J. Differential Equations , vol.85 , pp. 338-366
- Brunella, M.¹ Miari, M.²

7
- 0003399991
- "Local Methods in Nonlinear Differential Equations"
- Springer-Verlag, Berlin/New York
- (1980)
- Bruno, A.D.¹

8
- 0002252484
- A method of desingularization for analytic two-dimensional vector field families
- No. 1
- (1991) Bol. Soc. Bras. Mat , vol.22 , pp. 93-126
- Denkowska, Z.¹ Roussarie, R.²

9
- 0002294440
- The canard unchained or how fast/slow dynamical problems bifurcate
- (1984) Math. Intelligence , vol.6 , pp. 38-49
- Diener, M.¹

10
- 0011502443
- Regularizing microscopes and rivers
- (1994) SIAM J. Appl. Math , vol.25 , pp. 148-173
- Diener, M.¹

11
- 84896881561
- Local study of planar vector fields: Singularities and their unfoldings
- (H. W. Broer et al., Eds.), Stud. Math. Phys. North-Holland, Amsterdam
- (1991) "Structures in Dynamics, Finite Dimensional Deterministic Studies" , vol.2 , pp. 161-241
- Dumortier, F.¹

12
- 0002336002
- Techniques in the theory of local Bifurcations: Blow up, normal forms, nilpotent bifurcations, singular perturbations
- (D. Szlomiuk, Ed.), Kluwer Academic, Dordrecht
- (1993) "Bifurcations and Periodic Orbits of Vector Fields" , pp. 19-73
- Dumortier, F.¹

13
- 0030136548
- Canard cycles and center manifolds
- (1996) Mem. Amer. Math. Soc , vol.557
- Dumortier, F.¹ Roussarie, R.²

14
- 0003297685
- Relaxation oscillations including a standard chase on French ducks
- Lecture Notes in Math. Springer-Verlag, New York/Berlin
- (1983) "Asymptotic Analysis, II" , vol.985 , pp. 449-494
- Eckhaus, W.¹

15
- 0001356311
- Persistence and smoothness of invariant manifolds and flows
- (1971) Indiana Univ. Math. J , vol.21 , pp. 193-226
- Fenichel, N.¹

16
- 34250627892
- Geometric singular perturbation theory
- (1979) Differential Equations , vol.31 , pp. 53-98
- Fenichel, N.¹

17
- 0003285244
- "Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields"
- Springer-Verlag, New York
- (1983) Applied Mathematical Sciences , vol.42
- Guckenheimer, J.¹ Holmes, P.²

18
- 0001441740
- "Invariant Manifolds"
- Springer-Verlag, New York
- (1977) Lecture Notes in Mathematics , vol.583
- Hirsch, M.W.¹ Pugh, C.C.² Shub, M.³

19
- 0002316532
- Geometric singular perturbation theory
- Lecture Notes in Math., Springer-Verlag, New York/Berlin, 1609
- (1995) "Dynamical Systems" , pp. 44-120
- Jones, C.K.R.T.¹

20
- 0002657319
- Geometric analysis of the singularly perturbed planar fold
- Springer-Verlag, New York/Berlin
- (2001) Multiple Time Scales Dynamical Systems, IMA Volumes in Mathematics and Its Applications , vol.122 , pp. 89-116
- Krupa, M.¹ Szmolyan, P.²

21
- 0036052772
- Extending geometric singular perturbation theory to nonhyperbolic points - Fold and canard points in two dimensions
- No. 2
- (2001) SIAM J. Math. Anal , vol.33 , pp. 286-314
- Krupa, M.¹ Szmolyan, P.²

22
- 0035839416
- Relaxation oscillations and canard explosion
- No. 2
- (2001) J. Differential Equations , vol.174 , pp. 312-368
- Krupa, M.¹ Szmolyan, P.²

23
- 85031470760
- Extending slow manifolds near transcritical and pitchfork sungularities
- in press
- Nonlinearity
- Krupa, M.¹ Szmolyan, P.²

24
- 0001188228
- Multiple time scales and canards in a chemical oscillator
- Springer-Verlag, New York/Berlin
- (2001) Multiple Time Scales Dynamical Systems, IMA Volumes in Mathematics and Its Applications , vol.122 , pp. 117-140
- Milik, A.¹ Szmolyan, P.²

25
- 0003957404
- "Differential Equations with Small Parameters and Relaxation Oscillations"
- Plenum, New York
- (1980)
- Mishchenko, E.F.¹ Rozov, N.Kh.²

26
- 0003724619
- "Asymptotic Methods in Singularly Perturbed Systems"
- Consultants Bureau, New York
- (1994) Monographs in Contemporary Mathematics
- Mishchenko, E.F.¹ Kolesov, Yu.S.² Kolesov, A.Yu.³ Rhozov, N.Kh.⁴

27
- 0001336249
- Techniques in the theory of local bifurcations: Cyclicity and desingularization
- (D. Szlomiuk, Ed.), Kluwer Academic, Dordrecht
- (1993) "Bifurcations and Periodic Orbits of Vector Fields" , pp. 347-382
- Roussarie, R.¹

28
- 0003915742
- 3"
- thesis, Vienna University of Technology, Austria
- (1998)
- Wechselberger, M.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.