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Feigenbaum, Mitchell J.

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Author ID: feigenbaum.mitchell-j Recent zbMATH articles by "Feigenbaum, Mitchell J."
Published as: Feigenbaum, Mitchell J.; Feigenbaum, Mitchell; Feigenbaum, M. J.; Feigenbaum, M.
Homepage: https://www.rockefeller.edu/our-scientists/heads-of-laboratories/1121-mitchell-j...
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 21 Publications since 1978
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

17 Publications have been cited 844 times in 667 Documents Cited by Year
Quantitative universality for a class of nonlinear transformations. Zbl 0509.58037
Feigenbaum, Mitchell J.
494
1978
The universal metric properties of nonlinear transformations. Zbl 0515.58028
Feigenbaum, Mitchell J.
188
1979
The transition to aperiodic behavior in turbulent systems. Zbl 0465.76050
Feigenbaum, Mitchell J.
46
1980
Universal behaviour in families of area-preserving maps. Zbl 1194.37011
Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J.
33
1981
Presentation functions, fixed points, and a theory of scaling function dynamics. Zbl 1084.37507
Feigenbaum, Mitchell J.
20
1988
Some characterizations of strange sets. Zbl 0695.58021
Feigenbaum, Mitchell J.
19
1987
Universal behaviour in nonlinear systems. Zbl 0533.58025
Feigenbaum, M. J.
17
1983
Universal behavior in nonlinear systems. Zbl 0556.34046
Feigenbaum, Mitchell J.
9
1983
Metric universality in nonlinear recurrence. Zbl 0401.92002
Feigenbaum, M. J.
5
1979
Scaling spectra and return times of dynamical systems. Zbl 0695.58022
Feigenbaum, Mitchell J.
3
1987
Presentation functions and scaling function theory for circle maps. Zbl 0682.58025
Feigenbaum, Mitchell J.
3
1988
Low dimensional dynamics and the period doubling scenario. Zbl 0531.58034
Feigenbaum, Mitchell
2
1983
Pattern selection: Determined by symmetry and modifiable by distant effects. Zbl 1079.76024
Feigenbaum, Mitchell J.
1
2003
Dynamics of finger formation in Laplacian growth without surface tension. Zbl 1040.76014
Feigenbaum, Mitchell J.; Procaccia, Itamar; Davidovich, Benny
1
2001
The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. Zbl 0482.58021
Feigenbaum, Mitchell J.
1
1980
Complicated objects on regular trees. Zbl 0708.58008
Feigenbaum, Mitchell
1
1988
An interview with Stan Ulam and Mark Kac. Zbl 0628.01041
Feigenbaum, Mitchell
1
1985
Pattern selection: Determined by symmetry and modifiable by distant effects. Zbl 1079.76024
Feigenbaum, Mitchell J.
1
2003
Dynamics of finger formation in Laplacian growth without surface tension. Zbl 1040.76014
Feigenbaum, Mitchell J.; Procaccia, Itamar; Davidovich, Benny
1
2001
Presentation functions, fixed points, and a theory of scaling function dynamics. Zbl 1084.37507
Feigenbaum, Mitchell J.
20
1988
Presentation functions and scaling function theory for circle maps. Zbl 0682.58025
Feigenbaum, Mitchell J.
3
1988
Complicated objects on regular trees. Zbl 0708.58008
Feigenbaum, Mitchell
1
1988
Some characterizations of strange sets. Zbl 0695.58021
Feigenbaum, Mitchell J.
19
1987
Scaling spectra and return times of dynamical systems. Zbl 0695.58022
Feigenbaum, Mitchell J.
3
1987
An interview with Stan Ulam and Mark Kac. Zbl 0628.01041
Feigenbaum, Mitchell
1
1985
Universal behaviour in nonlinear systems. Zbl 0533.58025
Feigenbaum, M. J.
17
1983
Universal behavior in nonlinear systems. Zbl 0556.34046
Feigenbaum, Mitchell J.
9
1983
Low dimensional dynamics and the period doubling scenario. Zbl 0531.58034
Feigenbaum, Mitchell
2
1983
Universal behaviour in families of area-preserving maps. Zbl 1194.37011
Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J.
33
1981
The transition to aperiodic behavior in turbulent systems. Zbl 0465.76050
Feigenbaum, Mitchell J.
46
1980
The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. Zbl 0482.58021
Feigenbaum, Mitchell J.
1
1980
The universal metric properties of nonlinear transformations. Zbl 0515.58028
Feigenbaum, Mitchell J.
188
1979
Metric universality in nonlinear recurrence. Zbl 0401.92002
Feigenbaum, M. J.
5
1979
Quantitative universality for a class of nonlinear transformations. Zbl 0509.58037
Feigenbaum, Mitchell J.
494
1978
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Cited by 1,060 Authors

8 Eckmann, Jean-Pierre
8 Jiang, Yunping
8 Kuznetsov, Sergey P.
8 Tresser, Charles
8 Wang, Xingyuan
7 Arneodo, Alain
6 Collet, Pierre
6 Levin, Genadi M.
6 Peng, Shouli
6 Yorke, James Alan
5 Barnsley, Michael Fielding
5 Beyer, William A.
5 Borisov, Alekseĭ Vladimirovich
5 Cao, Kefei
5 Gaidashev, Denis G.
5 Holmes, Philip J.
5 Letellier, Christophe
5 Magnitskii, Nikolai Alexandrovich
5 Martens, Marco
5 Perevaryukha, Andreĭ Yur’evich
5 Świątek, Grzegorz
4 Avrutin, Viktor
4 Awrejcewicz, Jan
4 Cosnard, Michel Y.
4 Deng, Bo
4 Dixon, Tony W.
4 Feigenbaum, Mitchell J.
4 Franceschini, Valter
4 Kadanoff, Leo Philip
4 Khanin, Konstantin M.
4 Lyubich, Mikhail Yur’evich
4 McGuire, James B.
4 Schanz, Michael
4 Sonis, Michael
4 Tebaldi, Claudio
4 Thompson, Colin J.
4 Weiss, Nigel O.
4 Zhou, Zhong
3 Aurell, Erik
3 Bacry, Emmanuel
3 Bessis, Daniel
3 Catsigeras, Eleonora
3 Coullet, Pierre H.
3 de la Llave, Rafael
3 de Melo, Welington
3 Diakonos, Fotis K.
3 Gambaudo, Jean-Marc
3 Gardini, Laura
3 Glyzin, Sergeĭ D.
3 Grebogi, Celso
3 Györgyi, Géza
3 Harrington, Andrew N.
3 Jensen, Mogens H.
3 Kenny, Brian G.
3 Khajanchi, Subhas
3 Knobloch, Edgar
3 Koch, Hans-Friedrich
3 Kot, Mark
3 Krysko, Vadim Anatolievich
3 Lanford, Oscar E. III
3 Liang, Qingyong
3 López-Ruiz, Ricardo
3 Luo, Albert C. J.
3 Mayer-Kress, Gottfried
3 Moussa, Pierre
3 Muzy, Jean-François
3 Naudot, Vincent
3 Nicolis, Gregoire
3 Olsen, Lars Folke
3 Orszag, Steven Alan
3 Ott, Edward
3 Pati, N. C.
3 Pinto, Alberto Adrego
3 Sander, Evelyn
3 Sataev, Igor’ Rustamovich
3 Schmelcher, Peter
3 Shi, YongGuo
3 Sidorov, Sergey Vasilevich
3 Stein, Paul R.
3 Tanikawa, Kiyotaka
3 Vaienti, Sandro
2 Abdulla, Rashad U.
2 Abdulla, Ugur G.
2 Abraham, Ralph Herman
2 Aguirre, Luis Antonio
2 Almeida, Joao Paulo Andrade
2 Amon, Cristina H.
2 Artuso, Roberto
2 Ashish
2 Aslam, Tariq D.
2 Blackmore, Denis L.
2 Bruin, Henk
2 Caldas, Iberê L.
2 Cameron, Peter Jephson
2 Canel, Annemarie
2 Cao, Jinde
2 Chandramouli, V. V. M. S.
2 Chen, Jerry
2 Chen, Pu
2 Chen, Yi-Chiuan
...and 960 more Authors
all top 5

Cited in 178 Serials

56 Chaos
55 Journal of Statistical Physics
49 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
43 Chaos, Solitons and Fractals
39 Communications in Mathematical Physics
39 Physica D
22 Journal of Fluid Mechanics
13 Ergodic Theory and Dynamical Systems
10 Journal of Mathematical Physics
9 Applied Mathematics and Computation
9 Nonlinear Dynamics
7 Transactions of the American Mathematical Society
7 Advances in Applied Mathematics
7 Regular and Chaotic Dynamics
7 Communications in Nonlinear Science and Numerical Simulation
6 Biological Cybernetics
6 Journal of Difference Equations and Applications
6 Dynamical Systems
5 Bulletin of Mathematical Biology
5 Journal of Differential Equations
5 Celestial Mechanics and Dynamical Astronomy
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of the Franklin Institute
4 Journal of Mathematical Analysis and Applications
4 Physica A
4 Reviews of Modern Physics
4 Theoretical Population Biology
4 Applied Mathematics and Mechanics. (English Edition)
4 Mathematical and Computer Modelling
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Physics of Fluids
4 Fractals
4 Discrete Dynamics in Nature and Society
4 Combustion Theory and Modelling
4 Journal of Theoretical Biology
3 International Journal of Modern Physics B
3 Mathematical Biosciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Computational Mathematics and Modeling
3 Celestial Mechanics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Mathematical Sciences (New York)
3 Discrete and Continuous Dynamical Systems. Series B
2 Modern Physics Letters B
2 International Journal of Modern Physics A
2 Bulletin of the Australian Mathematical Society
2 Computers and Fluids
2 Geophysical and Astrophysical Fluid Dynamics
2 General Relativity and Gravitation
2 International Journal of Heat and Mass Transfer
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Physics Letters. A
2 Physics of Fluids, A
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Meccanica
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Journal of Economic Dynamics & Control
2 Applied Mathematics Letters
2 Dynamics and Stability of Systems
2 Aequationes Mathematicae
2 Applied Mathematical Modelling
2 European Journal of Operational Research
2 Historia Mathematica
2 Cybernetics and Systems Analysis
2 Continuum Mechanics and Thermodynamics
2 Journal of Computer and Systems Sciences International
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Abstract and Applied Analysis
2 Open Systems & Information Dynamics
2 Conformal Geometry and Dynamics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics C
2 Physical Review Letters
2 Differential Equations
2 Nonlinear Analysis. Modelling and Control
2 Advances in Complex Systems
2 SIAM Journal on Applied Dynamical Systems
2 Physical Review A, Third Series
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Ingenieur-Archiv
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Physics Reports
...and 78 more Serials
all top 5

Cited in 51 Fields

452 Dynamical systems and ergodic theory (37-XX)
85 Fluid mechanics (76-XX)
78 Ordinary differential equations (34-XX)
73 Biology and other natural sciences (92-XX)
50 Difference and functional equations (39-XX)
45 Mechanics of particles and systems (70-XX)
37 Measure and integration (28-XX)
35 Statistical mechanics, structure of matter (82-XX)
24 Real functions (26-XX)
23 Partial differential equations (35-XX)
22 Numerical analysis (65-XX)
19 Computer science (68-XX)
18 Functions of a complex variable (30-XX)
18 Information and communication theory, circuits (94-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Global analysis, analysis on manifolds (58-XX)
14 General topology (54-XX)
13 Number theory (11-XX)
13 Mechanics of deformable solids (74-XX)
13 Quantum theory (81-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Systems theory; control (93-XX)
10 Probability theory and stochastic processes (60-XX)
9 Operator theory (47-XX)
7 History and biography (01-XX)
7 Geophysics (86-XX)
6 General and overarching topics; collections (00-XX)
6 Manifolds and cell complexes (57-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistics (62-XX)
4 Combinatorics (05-XX)
4 Optics, electromagnetic theory (78-XX)
4 Relativity and gravitational theory (83-XX)
4 Astronomy and astrophysics (85-XX)
4 Operations research, mathematical programming (90-XX)
3 Differential geometry (53-XX)
2 Mathematical logic and foundations (03-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)

Citations by Year

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