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Physica D: Nonlinear Phenomena

Volumn 4, Issue 3, 1982, Pages 366-393

Chaotic attractors of an infinite-dimensional dynamical system

(1) Doyne Farmer, J a

a UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49049134700 PISSN: 01672789 EISSN: None Source Type: Journal
DOI: 10.1016/0167-2789(82)90042-2 Document Type: Article

Times cited : (805)

References (55)

1
- 0000241853
- (1963) Journal of the Atmospheric Sciences , vol.2 , pp. 130
- Lorenz¹

2
- 34250451946
- (1971) Comm. Math. Phys. , vol.20 , pp. 167
- Ruelle¹ Takens²

3
- 0003610623
- Pergamon, Oxford
- (1959) Fluid Mechanics
- Landau¹ Lifshitz²

4
- 35949040339
- (1975) Phys. Rev. Lett. , vol.35 , pp. 927
- Gollub¹ Swinney²

5
- 0018515437
- (1979) J. Fluid Mech. , vol.94 , pp. 103
- Fenstermacher¹ Gollub² Swinney³

6
- 0344540649
- (1979) Phys. Rev. Lett. , vol.42 , pp. 301
- Walden¹ Donnelly²

7
- 0001750017
- (1978) Phys. Rev. Lett. , vol.40 , pp. 712
- Ahlers¹ Behringer²

8
- 0002449201
- (1967) Rend. Sem. Mat. Padova , vol.3 , pp. 1
- Foias¹ Prodi²

9
- 0017369165
- (1977) Communications on Pure and Applied Mathematics , vol.30 , pp. 149
- Foias¹ Temam²

10
- 0006444781
- (1973) Soviet Physics (Doklady) , vol.17 , pp. 647
- Ladyzhenskaya¹

11
- 34250401659
- (1976) Journal of Soviet Mathematics , vol.3 , pp. 458
- Ladyzhenskaya¹

12
- 84909561329
- (1976) Journal of Differential Equations , vol.22 , pp. 33
- Mallet-Paret¹

13
- 84909540167
- IHES preprint
- (1980) Characteristic Exponents and Invariant Manifolds in Hilbert Space
- Ruelle¹

14
- 0000543733
- (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197
- Oseledec¹

15
- 35949037738
- (1976) Physical Review A , vol.14 , pp. 2338
- Bennetin¹ Galgani² Strelcyn³

16
- 0018989294
- also see
- (1980) Meccanica , vol.15 , pp. 9
- Benettin¹ Galgani² Giorgilli³ Strelcyn⁴

17
- 0000672504
- (1979) Progress of Theoretical Physics , vol.61 , pp. 1605
- Shimada¹ Nagashima²

18
- 0009520409
- (1981) Z. Naturforsch. , vol.36 a , pp. 80
- Shaw¹

19
- 0003922042
- H.O. Peitgen, H.O. Walther, Springer, Berlin, New York
- (1979) Functional Differential Equations and Approximation of Fixed Points , pp. 228
- Kaplan¹ Yorke²

20
- 84908714947
- (1980) Prog. Theor. Phys. , vol.63 , pp. 3
- Mori¹

21
- 0000099030
- (1980) Physical Review Letters , vol.45 , pp. 1175
- Russel¹ Hanson² Ott³

22
- 0017714604
- (1977) Science , vol.197 , pp. 287
- Mackey¹ Glass²

23
- 0009226564
- (1978) Progress of Theoretical Physics Supplement , vol.64 , pp. 339
- Ruelle¹

24
- 0013501719
- (1975) Inventiones Math. , vol.29 , pp. 181
- Bowen¹ Ruelle²

25
- 0003807472
- Princeton Univ. Press, Princeton
- (1948) Dimension Theory
- Hurewicz¹ Wallman²

26
- 0003666299
- Freeman, San Francisco
- (1977) Fractals: Form Chance and Dimension
- Mandelbrot¹

27
- 84968514104
- (1967) Bulletin of the American Mathematical Society , vol.13 , pp. 747
- Smale¹

28
- 0002591468
- (1976) Communications in Mathematical Physics , vol.50 , pp. 69
- Hénon¹

29
- 0009322175
- (Hungarian)
- (1956) Publ. Math. Inst. of the Hungarian Acad. of Sci. , vol.1 , pp. 9
- Balatoni¹ Rényi²

30
- 0012765397
- English translation, Academiai Budapest, Budapest
- (1976) Selected papers of A. Rényi , vol.1 , pp. 558

31
- 12144250294
- See also
- (1959) Acta Mathematica (Hungary) , vol.10 , pp. 193
- Rényi¹

32
- 84909540166
- D. Farmer, Information Dimension and the Probabilistic Structure of Chaos, Chapter 1, UCSC Doctoral Dissertation.

33
- 84909540165
- J. Yorke, private communication.

34
- 84940644968
- (1948) Bell System Technical Journal , vol.27 , pp. 379
- Shannon¹

35
- 0004288701
- Wiley, New York
- (1965) Ergodic Theory and Information
- Billingsley¹

36
- 0003709089
- Benjamin, New York
- (1968) Ergodic Problems of Classical Mechanics
- Arnold¹ Avez²

37
- 0002793720
- (1972) Russian Mathematical Surveys , vol.166 , pp. 21
- Sinai¹

38
- 0003823726
- Springer, New York
- (1975) Equilibrium States and the Ergodic Theory of Anasov Diffeomorphisms , pp. 470
- Bowen¹

39
- 84909540164
- V.M. Alekseyev and M.V. Yakobson, Symbolic Dynamics and Hyperbolic Dynamical Systems, to appear in Physics Reports.

40
- 84909540163
- preprint
- (1980) The Dimension of the Strange Attractor for a class of Difference Systems
- Frederickson¹ Kaplan² Yorke³

41
- 84909540064
- ? U. Math. Dept, preprint
- (1980) Entropy Increase in Dynamical Systems
- Goldstein¹

42
- 84909540063
- (1977) Uspekhi Mat. Nauk , vol.32 , pp. 55
- ?¹

43
- 84909540062
- J. Crutchfield and N. Packard, USCS preprint (1981).

44
- 84909540061
- Computing the Lyapunov exponents of an infinite dimensional system via a finite dimensional approximation was suggested to me by unpublished calculations of the Lyapunov exponents of a partial differential equation by N. Packard.

45
- 0003731284
- For a good introduction to center manifold theory, see, Springer, New York
- (1976) The Hopf Bifurcation Theorem and its Applications
- Barden¹ McKracken²

46
- 0000662340
- (1980) Annals of the NYAS , vol.357 , pp. 267
- May¹

47
- 0000621116
- (1980) Mathematical Biosciences , vol.51 , pp. 199
- Shibata¹

48
- 0001816458
- (1978) J. Stat. Phys. , vol.19 , pp. 25
- Feigenbaum¹

49
- 84926767644
- (1977) Z. Naturforsch , vol.32 a , pp. 1353
- Grossman¹ Thomae²

50
- 0003139697
- (1980) Phys. Lett. , vol.76 A , pp. 1
- Crutchfield¹ Farmer² Packard³ Shaw⁴ Jones⁵ Donnelly⁶

51
- 33744884687
- (1980) Annals of the New York Academy of Sciences , vol.357 , pp. 282
- Lorenz¹

52
- 0001181793
- (1981) Phys. Rev. Lett. , vol.47 , pp. 179
- Farmer¹

53
- 84949416968
- (1980) Annals of the New York Academy of Sciences , vol.357 , pp. 453
- Farmer¹ Crutchfield² Froehling³ Packard⁴ Shaw⁵

54
- 84911830189
- UCSC preprint
- (1980) Fluctuations and Chaotic Dynamics
- Crutchfield¹ Farmer² Huberman³

55
- 51249185427
- (1978) Il Nuovo Cimento B , vol.94 B , pp. 183
- Benettin¹ Casartelli² Galgani³ Strelcyn⁴

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