SCOPUS 정보 검색 플랫폼

Journal of Differential Equations

Volumn 26, Issue 1, 1977, Pages 112-159

Integral averaging and bifurcation

(2) Chow, Shui Nee a Mallet Paret, John b

a MICHIGAN STATE UNIVERSITY (United States)

b BROWN UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001509205 PISSN: 00220396 EISSN: 10902732 Source Type: Journal
DOI: 10.1016/0022-0396(77)90101-2 Document Type: Article

Times cited : (195)

References (48)

1
- 84912268322
- J. C. Alexander and J. A. Yorke, Global bifurcation of periodic orbits, Amer. J. Math., to appear.

2
- 0004252996
- Princeton Univ. Press, Princeton, N.J.
- (1949) Theory of Oscillations
- Andronov¹ Chaikin²

3
- 84912237851
- D. G. Aronson, to appear.

4
- 0009127211
- On one parameter families of diffeomorphisms
- (1970) Comment. Math. Univ. Carolinae , vol.11 , pp. 559-582
- Brunovsky¹

5
- 0039549563
- Qualitative integration of a system of n differential equations in a region containing a singular point and a limit cycle
- (1961) Dokl. Akad. Nauk SSSR , vol.139 , pp. 9-12
- Bruslinskaya¹

6
- 0006340611
- The bifurcation of one or more closed orbits from an equilibrium points of an autonomous differential systems
- (1968) J. Differential Equations , vol.4 , pp. 661-679
- Chafee¹

7
- 0000291028
- A bifurcation problem for a functional differential equation of finitely retarded type
- (1971) J. Math. Anal. Appl. , vol.35 , pp. 312-348
- Chafee¹

8
- 0016600448
- Applications of generic bifurcation, I
- (1975) Arch. Rational Mech. Anal. , vol.59 , pp. 159-188
- Chow¹ Mallet-Paret² Hale³

9
- 0043254838
- Applications of generic bifurcation, II
- (1976) Arch. Rat. Mech. Anal. , vol.62 , pp. 209-235
- Chow¹ Mallet-Paret² Hale³

10
- 25644446425
- Some equations modelling growth processes and gonorrhea epidemics
- (1973) Math. Biosci. , vol.16 , pp. 75-101
- Cooke¹ Yorke²

11
- 84912280439
- J. R. Dorroh and J. E. Marsden, Smoothness of nonlinear semigroups, J. Functional Analysis, to appear.

12
- 84912274157
- H. I. Freedman, On a bifurcation theorem of Hopf and Friedrichs, to appear.

13
- 0011614653
- Gordon and Breach, New York
- (1965) Advanced Ordinary Differential Equations
- Friedrichs¹

14
- 84912238417
- J. M. Greenberg, Periodic solutions to a population equation. Preprint.

15
- 0003952256
- McGraw-Hill, New York
- (1963) Oscillations in Nonlinear Systems
- Hale¹

16
- 0003983811
- McGraw-Hill, New York
- (1969) Ordinary Differential Equations
- Hale¹

17
- 0003492060
- Springer-Verlag, Berlin
- (1977) Theory of Functional Differential Equations
- Hale¹

18
- 0000791096
- Integral manifolds of perturbed differential systems
- (1961) The Annals of Mathematics , vol.73 , pp. 496-531
- Hale¹

19
- 0000617019
- Critical cases for neutral functional differential equations
- (1971) J. Differential Equations , vol.10 , pp. 59-82
- Hale¹

20
- 0009545352
- Behavior near constant solutions of functional differential equations
- (1974) J. Differential Equations , vol.15 , pp. 278-294
- Hale¹

21
- 0003769140
- Wiley, New York
- (1964) Ordinary Differential Equations
- Hartman¹

22
- 0007039384
- Stability in the critical case of pure imaginary roots for neutral functional differential equations
- (1973) J. Differential Equations , vol.13 , pp. 329-357
- Hausrath¹

23
- 0002674020
- Abzweigung einer periodischen Lösung von einer stationaren Losung eines Differential systems
- (1942) Ber. Math. Phys., Kl. Sachs Akad. Wiss. Leipzig , vol.94 , pp. 1-22
- Hopf¹

24
- 0002602858
- Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'évolution du type Navier-Stokes
- (1972) Arch. Rational Mech. Anal. , vol.46 , pp. 301-329
- Iooss¹

25
- 0001135605
- The existence of periodic solutions of f′(x) = −αf (x − 1)[1 + f(x)]
- (1962) J. Math. Anal. Appl. , vol.5 , pp. 435-450
- Jones¹

26
- 0002994233
- Bifurcating time periodic solutions and their stability
- (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 79-109
- Joseph¹ Sattinger²

27
- 0007198652
- A generalization of the Hopf bifurcation theorem
- (1972) Helv. Phys. Acta , vol.45 , pp. 258-276
- Jost¹ Zehneder²

28
- 0001571755
- The onset of auto-oscillations in a fluid
- (1971) PMM , vol.35 , pp. 638-655
- Judovich¹

29
- 0002120461
- On the nonlinear difference-differential equation y′(t) = [A −By(t − τ)]y(t)
- (1958) Contrib. Theory Nonlinear Oscillations , vol.4 , pp. 1-18
- Kakutani¹ Markus²

30
- 2442658699
- Bifurcations under nongeneric conditions
- (1974) Advances in Math. , vol.13 , pp. 274-283
- Kopell¹ Howard²

31
- 0003610623
- Addison-Wesley, Reading, Mass.
- (1959) Fluid Mechanics
- Landau¹ Lifshitz²

32
- 0038417898
- Bifurcation of Periodic Solutions into Invariant Tori: The Work of Ruelle and Takens
- Springer-Verlag, Berlin
- (1972) Springer-Verlag Lecture Notes 322 , pp. 159-192
- Lanford¹

33
- 0003840747
- Interscience, New York
- (1963) Differential Equations: Geometric Theory
- Lefschetz¹

34
- 0003575867
- Springer-Verlag, Berlin
- (1972) Nonhomogeneous Boundary Value Problems and Applications , vol.1
- Lions¹ Magenes²

35
- 84966242371
- The Hopf bifurcation for nonlinear semigroups
- (1973) Bulletin of the American Mathematical Society , vol.79 , pp. 537-541
- Marsden¹

36
- 0003731284
- Springer-Verlag, New York
- (1976) The Hopf bifurcation and its applications
- Marsden¹ McCracken²

37
- 84912239666
- M. F. McCracken, Computation of stability for the Hopf bifurcation theorem, to appear.

38
- 84912227178
- J. B. McLaughlin and P. C. Martin, “The Transition to Turbulence in a Statically Stressed Fluid,” preprint, Dept. of Physics, Harvard University.

39
- 34250474483
- Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field
- (1972) Functional Anal. Appl. , vol.6 , pp. 339-340
- Pyartli¹

40
- 34250451946
- On the nature of turbulence
- (1971) Comm. Math. Phys. , vol.20 , pp. 167-192
- Ruelle¹ Takens²

41
- 84972537058
- A new approach to the perturbation theory of invariant surfaces
- (1965) Communications on Pure and Applied Mathematics , vol.18 , pp. 717-732
- Sacker¹

42
- 0003714787
- Topics in Stability and Bifurcation Theory
- Springer-Verlag, Berlin
- (1973) Springer-Verlag Lecture Notes, 309
- Sattinger¹

43
- 84912225226
- D. S. Schmidt, Hopf's bifurcation theorem and the center theorem of Liapunov, J. Math. Anal. Appl., to appear.

44
- 54749118842
- Generic one-parameter families of vectors fields
- (1968) Bulletin of the American Mathematical Society , vol.74 , pp. 722-726
- Sotomayer¹

45
- 0000781644
- Local contraction and a theorem of Poincaré
- (1957) American Journal of Mathematics , vol.79 , pp. 809-824
- Sternberg¹

46
- 0000857092
- Unfolding of certain singularities of vector fields: generalized Hopf bifurcations
- (1973) J. Differential Equations , vol.14 , pp. 476-493
- Takens¹

47
- 0003003451
- Averaging in systems of ordinary differential equations
- (1962) Russian Mathematical Surveys , vol.17 , pp. 1-126
- Volosov¹

48
- 84941442792
- A nonlinear difference-differential equation
- (1955) J. Reine Angew. Math. , vol.194 , pp. 66-87
- Wright¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.