DOI: 10.1016/0167-2789(83)90235-x. The infinite number of generalized dimensions of fractals and strange attractors

The infinite number of generalized dimensions of fractals and strange attractors

10.1016/0167-2789(83)90235-x

Crossref journal-article

Elsevier BV

Physica D: Nonlinear Phenomena (78)

Bibliography

Hentschel, H. G. E., & Procaccia, I. (1983). The infinite number of generalized dimensions of fractals and strange attractors. Physica D: Nonlinear Phenomena, 8(3), 435â444.

Authors 2

H.G.E. Hentschel (first)
Itamar Procaccia (additional)

References 21 Referenced 1,342

{'key': '10.1016/0167-2789(83)90235-X_BIB1', 'series-title': 'Fractal-Form, Chance and Dimension', 'author': 'Mandelbrot', 'year': '1977'} / Fractal-Form, Chance and Dimension by Mandelbrot (1977)
10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 / J. Atm. Sci. by Lorenz (1963)
10.1007/BF01646553 / Comm. Math. Phys. by Ruelle (1971)
10.1143/PTP.63.1044 / Prog. Theor. Phys. by Mori (1980)
{'key': '10.1016/0167-2789(83)90235-X_BIB5', 'first-page': '204', 'article-title': 'Functional Differential Equations and Approximations of Fixed Points', 'volume': '730', 'author': 'Kaplan', 'year': '1979'} / Functional Differential Equations and Approximations of Fixed Points by Kaplan (1979)
10.1103/PhysRevLett.45.1175 / Phys. Rev. Lett. by Russel (1980)
{'key': '10.1016/0167-2789(83)90235-X_BIB7', 'first-page': '605', 'volume': '30', 'author': 'Froehling', 'year': '1981', 'journal-title': 'Physica'} / Physica by Froehling (1981)
10.1007/BF01106792 / J. Stat. Phys. by Grassberger (1981)
10.1103/PhysRevA.25.3453 / Phys. Rev. by Greenside (1982)
10.1103/PhysRevLett.50.346 / Phys. Rev. Lett. by Grassberger (1983)
{'key': '10.1016/0167-2789(83)90235-X_BIB11', 'series-title': 'Dynamical Systems and Chaos', 'author': 'Procaccia', 'year': '1982'} / Dynamical Systems and Chaos by Procaccia (1982)
P. Grassberger and I. Procaccia, Physica D, in press.
{'key': '10.1016/0167-2789(83)90235-X_BIB13', 'series-title': 'Proc. of the Warwick Symposium 1980', 'volume': '898', 'author': 'Takens', 'year': '1981'} / Proc. of the Warwick Symposium 1980 by Takens (1981)
{'key': '10.1016/0167-2789(83)90235-X_BIB15', 'first-page': '9', 'volume': '1', 'author': 'Balatoni', 'year': '1956', 'journal-title': 'Pub. Math. Inst. Hungarian Acad. Sci.'} / Pub. Math. Inst. Hungarian Acad. Sci. by Balatoni (1956)
J.D. Farmer, E. Ott and J.A. Yorke, to appear in Physica D.
{'key': '10.1016/0167-2789(83)90235-X_BIB23_1', 'first-page': '381', 'volume': '62', 'year': '1974', 'journal-title': 'J. Fluid Mech.'} / J. Fluid Mech. (1974)
10.1007/BF01020332 / J. Stat. Phys. by Feigenbaum (1978)
10.1007/BF01107909 / J. Stat. Phys. by Feigenbaum (1979)
{'key': '10.1016/0167-2789(83)90235-X_BIB20', 'series-title': 'Inequalities', 'author': 'Hardy', 'year': '1952'} / Inequalities by Hardy (1952)
10.1007/BF01608556 / Comm. Math. Phys. by Hénon (1976)
J.D. Farmer, preprint.

Dates

Type	When
Created	22 years, 10 months ago (Oct. 17, 2002, 3:58 p.m.)
Deposited	6 years, 4 months ago (April 6, 2019, 4:26 p.m.)
Indexed	2 days, 19 hours ago (Sept. 3, 2025, 6:14 a.m.)
Issued	42 years ago (Sept. 1, 1983)
Published	42 years ago (Sept. 1, 1983)
Published Print	42 years ago (Sept. 1, 1983)

Funders 0

None

BibTeX

@article{Hentschel_1983, title={The infinite number of generalized dimensions of fractals and strange attractors}, volume={8}, ISSN={0167-2789}, url={http://dx.doi.org/10.1016/0167-2789(83)90235-x}, DOI={10.1016/0167-2789(83)90235-x}, number={3}, journal={Physica D: Nonlinear Phenomena}, publisher={Elsevier BV}, author={Hentschel, H.G.E. and Procaccia, Itamar}, year={1983}, month=sep, pages={435–444} }

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