Edit Profile (opens in new tab) Feigenbaum, Mitchell J. Compute Distance To: Compute Author ID: feigenbaum.mitchell-j Published as: Feigenbaum, Mitchell J.; Feigenbaum, Mitchell; Feigenbaum, M. J.; Feigenbaum, M. more...less Homepage: https://www.rockefeller.edu/our-scientists/heads-of-laboratories/1121-mitchell-j... External Links: MacTutor · MGP · Wikidata · GND Documents Indexed: 21 Publications since 1978 1 Further Contribution Biographic References: 2 Publications Co-Authors: 4 Co-Authors with 2 Joint Publications 146 Co-Co-Authors all top 5 Co-Authors 19 single-authored 1 Bowler, K. C. 1 Davidovich, Benny 1 Green, Michael B. 1 Gunton, James D. 1 Kenway, Richard D. 1 MacKay, Robert Sinclair 1 McKane, Alan J. 1 Procaccia, Itamar 1 Rebbi, Claudio 1 Swendson, R. H. 1 Vivaldi, Franco 1 Zia, R. K. P. Serials 8 Journal of Statistical Physics 1 Communications in Mathematical Physics 1 Nonlinearity 1 Physica D all top 5 Fields 14 Dynamical systems and ergodic theory (37-XX) 6 Fluid mechanics (76-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 876 times in 692 Documents Cited by ▼ Year ▼ Quantitative universality for a class of nonlinear transformations. Zbl 0509.58037Feigenbaum, Mitchell J. 514 1978 The universal metric properties of nonlinear transformations. Zbl 0515.58028Feigenbaum, Mitchell J. 197 1979 The transition to aperiodic behavior in turbulent systems. Zbl 0465.76050Feigenbaum, Mitchell J. 48 1980 Universal behaviour in families of area-preserving maps. Zbl 1194.37011Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J. 33 1981 Presentation functions, fixed points, and a theory of scaling function dynamics. Zbl 1084.37507Feigenbaum, Mitchell J. 20 1988 Some characterizations of strange sets. Zbl 0695.58021Feigenbaum, Mitchell J. 19 1987 Universal behaviour in nonlinear systems. Zbl 0533.58025Feigenbaum, M. J. 18 1983 Universal behavior in nonlinear systems. Zbl 0556.34046Feigenbaum, Mitchell J. 9 1983 Metric universality in nonlinear recurrence. Zbl 0401.92002Feigenbaum, M. J. 5 1979 Presentation functions and scaling function theory for circle maps. Zbl 0682.58025Feigenbaum, Mitchell J. 3 1988 Scaling spectra and return times of dynamical systems. Zbl 0695.58022Feigenbaum, Mitchell J. 3 1987 Low dimensional dynamics and the period doubling scenario. Zbl 0531.58034Feigenbaum, Mitchell 2 1983 An interview with Stan Ulam and Mark Kac. Zbl 0628.01041Feigenbaum, Mitchell 1 1985 Dynamics of finger formation in Laplacian growth without surface tension. Zbl 1040.76014Feigenbaum, 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 0482.58021Feigenbaum, Mitchell J. 1 1980 Complicated objects on regular trees. Zbl 0708.58008Feigenbaum, Mitchell 1 1988 Pattern selection: Determined by symmetry and modifiable by distant effects. Zbl 1079.76024Feigenbaum, Mitchell J. 1 2003 Pattern selection: Determined by symmetry and modifiable by distant effects. Zbl 1079.76024Feigenbaum, Mitchell J. 1 2003 Dynamics of finger formation in Laplacian growth without surface tension. Zbl 1040.76014Feigenbaum, Mitchell J.; Procaccia, Itamar; Davidovich, Benny 1 2001 Presentation functions, fixed points, and a theory of scaling function dynamics. Zbl 1084.37507Feigenbaum, Mitchell J. 20 1988 Presentation functions and scaling function theory for circle maps. Zbl 0682.58025Feigenbaum, Mitchell J. 3 1988 Complicated objects on regular trees. Zbl 0708.58008Feigenbaum, Mitchell 1 1988 Some characterizations of strange sets. Zbl 0695.58021Feigenbaum, Mitchell J. 19 1987 Scaling spectra and return times of dynamical systems. Zbl 0695.58022Feigenbaum, Mitchell J. 3 1987 An interview with Stan Ulam and Mark Kac. Zbl 0628.01041Feigenbaum, Mitchell 1 1985 Universal behaviour in nonlinear systems. Zbl 0533.58025Feigenbaum, M. J. 18 1983 Universal behavior in nonlinear systems. Zbl 0556.34046Feigenbaum, Mitchell J. 9 1983 Low dimensional dynamics and the period doubling scenario. Zbl 0531.58034Feigenbaum, Mitchell 2 1983 Universal behaviour in families of area-preserving maps. Zbl 1194.37011Greene, J. M.; Mackay, R. S.; Vivaldi, F.; Feigenbaum, M. J. 33 1981 The transition to aperiodic behavior in turbulent systems. Zbl 0465.76050Feigenbaum, Mitchell J. 48 1980 The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. Zbl 0482.58021Feigenbaum, Mitchell J. 1 1980 The universal metric properties of nonlinear transformations. Zbl 0515.58028Feigenbaum, Mitchell J. 197 1979 Metric universality in nonlinear recurrence. Zbl 0401.92002Feigenbaum, M. J. 5 1979 Quantitative universality for a class of nonlinear transformations. Zbl 0509.58037Feigenbaum, Mitchell J. 514 1978 all cited Publications top 5 cited Publications all top 5 Cited by 1,129 Authors 8 Eckmann, Jean-Pierre 8 Jiang, Yunping 8 Kuznetsov, Sergey P. 8 Tresser, Charles 8 Wang, Xingyuan 7 Arneodo, Alain 7 Martín, Jesús San 7 Yorke, James Alan 6 Collet, Pierre 6 Levin, Genadi M. 6 Peng, Shouli 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 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 Chandramouli, V. V. M. S. 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 Osbaldestin, Andrew H. 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 Anishchenko, Vadim Semenovich 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 ...and 1,029 more Authors all top 5 Cited in 182 Serials 57 Chaos 55 Journal of Statistical Physics 49 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 47 Chaos, Solitons and Fractals 40 Physica D 39 Communications in Mathematical Physics 24 Journal of Fluid Mechanics 13 Ergodic Theory and Dynamical Systems 11 Journal of Mathematical Physics 9 Applied Mathematics and Computation 9 Nonlinear Dynamics 8 Regular and Chaotic Dynamics 8 Communications in Nonlinear Science and Numerical Simulation 7 Transactions of the American Mathematical Society 7 Advances in Applied Mathematics 6 Biological Cybernetics 6 Physica A 6 Fractals 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 Combustion Theory and Modelling 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of the Franklin Institute 4 Journal of Mathematical Analysis and Applications 4 Reviews of Modern Physics 4 Theoretical Population Biology 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical and Computer Modelling 4 Computational Mathematics and Modeling 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Physics of Fluids 4 Discrete Dynamics in Nature and Society 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 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 Inventiones Mathematicae 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 Discrete and Continuous Dynamical Systems 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 Advances in Difference Equations 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 ...and 82 more Serials all top 5 Cited in 51 Fields 467 Dynamical systems and ergodic theory (37-XX) 90 Fluid mechanics (76-XX) 85 Ordinary differential equations (34-XX) 77 Biology and other natural sciences (92-XX) 51 Difference and functional equations (39-XX) 45 Mechanics of particles and systems (70-XX) 39 Measure and integration (28-XX) 37 Statistical mechanics, structure of matter (82-XX) 27 Real functions (26-XX) 24 Partial differential equations (35-XX) 23 Numerical analysis (65-XX) 19 Computer science (68-XX) 18 Functions of a complex variable (30-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Information and communication theory, circuits (94-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 General topology (54-XX) 13 Number theory (11-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Quantum theory (81-XX) 12 Mechanics of deformable solids (74-XX) 12 Systems theory; control (93-XX) 11 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) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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