Edit Profile (opens in new tab) Arbib, Michael A. Compute Distance To: Compute Author ID: arbib.michael-a Published as: Arbib, Michael A.; Arbib, M. A.; Arbib, Michael; Arbib, M. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 102 Publications since 1961, including 19 Books 6 Contributions as Editor · 5 Further Contributions Co-Authors: 44 Co-Authors with 73 Joint Publications 726 Co-Co-Authors all top 5 Co-Authors 34 single-authored 31 Manes, Ernest G. 3 Anderson, Brian David Outram 3 Bonaiuto, James 3 Dominey, Peter Ford 3 Kfoury, Assaf J. 3 Liaw, Jim-Shih 3 Moll, Robert N. 3 Schweighofer, Nicolas 2 Alagic, Suad 2 Amari, Shun-ichi 2 Cervantes-Pérez, Francisco 2 Chipalkatti, Renu 2 Corbacho, Fernando J. 2 Falb, Pl. L. 2 Kalman, Rudolf Emil 2 Nishikawa, Kiisa C. 2 Oztop, Erhan 2 Spoelstra, Jacob 2 Weerasuriya, Ananda 2 Zeiger, H. Paul 1 Albrecht, Duane G. 1 Assmus, Edward Ferdinand jun. 1 Barlow, Horace Basil 1 Barrès, Victor 1 Blum, Manuel 1 Bobrow, Leonard S. 1 Bremermann, Hans Joachim 1 Burks, Arthur W. 1 Buslenko, Nikolai Pantelejmonovich 1 Cowan, Jack D. 1 Day, Jane Maxwell 1 de Valois, Russell L. 1 Didday, Richard L. 1 Drischel, H. 1 Ehrig, Hartmut 1 Eimas, P. D. 1 Elul, R. 1 Eppler, Richard 1 Érdi, Péter 1 Ermentrout, George Bard 1 Findler, Nicholas V. 1 Flanagan, James L. 1 Florentin, J. J. 1 Ginsburg, A. P. 1 Ginsburg, Seymour 1 Give’on, Y. 1 Goldstein, A. J. 1 Guckenheimer, John M. 1 Händler, Wolfgang 1 Hauske, Gert 1 Horn, Werner 1 Julesz, Bela 1 Kauffman, Stuart Alan 1 Kawato, Mitsuo 1 Keidel, Wolf D. 1 Kilmer, William L. 1 Klix, Friedhart 1 Kopell, Nancy J. 1 Krohn, K. B. 1 Lawden, M. 1 Levin, Simon Asher 1 Mackay, D. M. 1 Marr, D. 1 McNaughton, Robert 1 Mittelstaedt, H. 1 Moulin-Frier, Clément 1 Mundie, J. R. 1 Nishihara, H. K. 1 Oestreicher, H. L. 1 Overton, K. J. 1 Padulo, Louis 1 Papert, Seymour Aubrey 1 Pfeiffer, R. R. 1 Poggio, Tomaso A. 1 Pustejovsky, James 1 Rhodes, John Lewis 1 Rinzel, John 1 Rock, J. C. 1 Romo, Ranulfo 1 Rosta, Edina 1 Rudomin, Pablo 1 Scandura, Joseph M. 1 Schlag-Rey, Madeleine 1 Schlag, John 1 Scott, R. N. 1 Segel, Lee Aaron 1 Shadmehr, Reza 1 Simons, Arthur III 1 Spira, Philip M. 1 Spreng, Manfred 1 Steenstrup, Martha E. 1 Suppes, Patrick 1 Szentágothai, Janos 1 Tilson, Bret R. 1 Trappl, Robert 1 Tsypkin, Yakov Zalmanovich 1 Uttal, W. R. 1 von Baumgartner, R. 1 von Foerster, Heinz 1 von Gierke, H. E. ...and 7 more Co-Authors all top 5 Serials 13 Biological Cybernetics 5 Information and Control 3 International Journal of Man-Machine Studies 3 Automatica 3 Journal of Computer and System Sciences 2 Journal of Mathematical Biology 2 Journal of the Association for Computing Machinery 2 Journal of Pure and Applied Algebra 2 Neural Networks 2 Journal of the Australian Mathematical Society 2 Lecture Notes in Biomathematics 1 Acta Informatica 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Acta Cybernetica 1 IEEE Transactions on Computers 1 Journal of Algebra 1 Kybernetika 1 Proceedings of the American Mathematical Society 1 Synthese 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Bulletin of the European Association for Theoretical Computer Science (EATCS) 1 Journal of Structural Learning 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Neurocomputing 1 Autonomous Robots 1 Journal of Mathematics and Mechanics 1 SIAM Journal on Control 1 The Bulletin of Mathematical Biophysics 1 Lecture Notes in Economics and Mathematical Systems 1 MAA Studies in Mathematics 1 Annals of Mathematical Statistics 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 IEEE Control Systems all top 5 Fields 59 Computer science (68-XX) 36 Biology and other natural sciences (92-XX) 29 Category theory; homological algebra (18-XX) 29 Systems theory; control (93-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Mathematical logic and foundations (03-XX) 9 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 1,347 times in 1,129 Documents Cited by ▼ Year ▼ Topics in mathematical system theory. Zbl 0231.49001Kalman, R. E.; Falb, P. L.; Arbib, M. A. 557 1969 Algebraic theory of machines, languages, and semigroups. Zbl 0181.01501Arbib, M. A. 69 1968 Arrows, structures and functors. The categorical imperative. Zbl 0374.18001Arbib, Michael A.; Manes, Ernest G. 66 1975 Algebraic approaches to program semantics. Zbl 0599.68008Manes, Ernest G.; Arbib, Michael A. 60 1986 Theories of abstract automata. Zbl 0193.32801Arbib, M. A. 49 1969 Machines in a category: An expository introduction. Zbl 0288.18005Arbib, Michael A.; Manes, Ernest G. 37 1974 Adjoint machines, state-behavior machines, and duality. Zbl 0323.18002Arbib, Michael A.; Manes, Ernest G. 27 1975 A categorist’s view of automata and systems. Zbl 0306.18002Arbib, M. A.; Manes, E. G. 26 1975 Foundations of system theory: Decomposable systems. Zbl 0294.93002Arbib, Michael A.; Manes, Ernest G. 24 1974 Algebra automata. I: Parallel programming as a prolegomena to the categorical approach. II: The categorial framework for dynamic analysis. Zbl 0164.32201Arbib, M. A.; Give’on, Y. 22 1968 On the relevance of abstract algebra to control theory. Zbl 0199.49303Arbib, M. A.; Zeiger, H. P. 22 1969 Fuzzy machines in a category. Zbl 0318.18008Arbib, Michael A.; Manes, Ernest G. 19 1975 Partially additive categories and flow-diagram semantics. Zbl 0429.68021Arbib, Michael A.; Manes, Ernest G. 19 1980 System theory. A unified state-space approach to continuous and discrete systems. Zbl 0317.93001Padulo, Louis; Arbib, Michael A. 18 1974 Topics in mathematical system theory. (Ocherki po matematicheskoj teorii sistem.) Übersetzung aus dem Englischen von Eh. L. Nappel’baum. Herausgegeben von Ya. Z. Tsypkin. Zbl 0231.49002Kalman, R. E.; Falb, Pl. L.; Arbib, M. A. 17 1971 Brains, machines and mathematics. Zbl 0174.02401Arbib, M. A. 15 1968 Brains, machines, and mathematics. 2nd ed. (Brains, machines, and mathematics.) Zbl 0645.68001Arbib, Michael A. 14 1987 Automata theory and control theory - a rapprochement. Zbl 0141.28402Arbib, M. A. 14 1966 The metaphorical brain. An introduction to cybernetics as artificial intelligence and brain theory. Zbl 0269.92002Arbib, Michael A. 13 1972 The design of well-structured and correct programs. Zbl 0393.68005Alagic, Suad; Arbib, Michael A. 12 1978 Foundations of system theory: Finitary and infinitary conditions. Zbl 0462.93003Anderson, B. D. O.; Arbib, M. A.; Manes, E. G. 12 1976 Simple self-reproducing universal automata. Zbl 0143.02102Arbib, M. A. 12 1966 The handbook of brain theory and neural networks. 2 nd ed. Zbl 1106.92011 11 2003 A common framework for automata theory and control theory. Zbl 0145.12401Arbib, Michael A. 11 1965 Schema design and implementation of the grasp-related mirror neuron system. Zbl 1104.92313Oztop, Erhan; Arbib, Michael A. 10 2002 A programming approach to computability. Zbl 0497.68025Kfoury, A. J.; Moll, Robert N.; Arbib, Michael A. 9 1982 A mathematical analysis of the force-stiffness characteristics of muscles in control of a single joint system. Zbl 0825.92024Shadmehr, Reza; Arbib, Michael A. 8 1992 Basic concepts of category theory applicable to computation and control. Zbl 0306.18001Arbib, M. A.; Manes, E. G. 8 1975 The pattern-of-calls expansion is the canonical fixpoint for recursive definitions. Zbl 0478.68016Arbib, Michael A.; Manes, Ernest G. 8 1982 Tolerance automata. Zbl 0153.01201Arbib, M. A. 8 1967 Hitting and martingale characterizations of one-dimensional diffusions. Zbl 0202.47203Arbib, M. A. 8 1965 Discrete mathematics: Applied algebra for computer and information science. Zbl 0314.94002Bobrow, Leonard S.; Arbib, Michael A. 7 1974 From automata theory to brain theory. Zbl 0314.94031Arbib, Michael A. 7 1975 Partially-additive monoids, graph-growing, and the algebraic semantics of recursive calls. Zbl 0414.68055Arbib, M. A.; Manes, E. G. 7 1979 Automaton automorphisms. Zbl 0156.25404Arbib, M. A. 7 1967 Neural organization: structure, function, and dynamics. Zbl 1053.92501Arbib, Michael A.; Érdi, Péter; Szentágothai, János 7 1997 Parametrized data types do not need highly constrained parameters. Zbl 0505.68013Arbib, Michael A.; Manes, Ernest G. 7 1982 The metaphorical brain 2. Neural networks and beyond. Zbl 1079.92500Arbib, M. A. 6 1989 A category-theoretic approach to systems in a fuzzy world. Zbl 0301.18002Arbib, Michael A.; Manes, Ernest G. 6 1975 Machines in a category. Zbl 0441.18010Arbib, Michael A.; Manes, Ernest G. 6 1980 Foundations of system theory: The Hankel matrix. Zbl 0446.93003Arbib, Michael A.; Manes, Ernest G. 6 1980 Categories of \((\mathfrak M, \mathfrak R)\)-systems. Zbl 0151.00804Arbib, Michael 5 1966 Mirror neurons and imitation: a computationally guided review. Zbl 1095.68649Oztop, Erhan; Kawato, Mitsuo; Arbib, Michael 5 2006 A model of the cerebellum in adaptive control of saccadic gain. I: The model and its biological substrate. Zbl 0873.92007Schweighofer, Nicolas; Arbib, Michael A.; Dominey, Peter F. 4 1996 Coproducts and decomposable machines. Zbl 0279.94043Arbib, Michael A. 4 1973 Fuzzy morphisms in automata theory. Zbl 0306.18003Arbib, M. A.; Manes, E. G. 4 1975 Generalized Hankel matrices and system realization. Zbl 0469.93028Arbib, Michael A.; Manes, Ernest G. 4 1980 Competition and cooperation in neural nets. Proceedings of the U.S.-Japan Joint Seminar held at Kyoto, Japan, February 15-19, 1982. Zbl 0477.00041 4 1982 The automata theory of semigroup embeddings. Zbl 0159.02502Arbib, M. A. 4 1968 Intertwined recursion, tree transformations, and linear systems. Zbl 0413.68053Arbib, Michael A.; Manes, Ernest G. 3 1979 A basis for theoretical computer science. Zbl 0471.68002Arbib, Michael A.; Kfoury, A. J.; Moll, Robert N. 3 1981 An introduction to formal language theory. With contributions by James Pustejovsky. Zbl 0655.68002Moll, Robert N.; Arbib, Michael A.; Kfoury, A. J. 2 1988 Port automata and the algebra of concurrent porcesses. Zbl 0535.68025Steenstrup, Martha; Arbib, Michael A.; Manes, Ernest G. 2 1983 From universal Turing machines to self-reproduction. Zbl 0681.01009Arbib, Michael A. 2 1988 Extensions of semilattices. Zbl 0325.94033Arbib, M. A.; Manes, E. G. 2 1975 Foundations of system theory: Multidecomposable systems. Zbl 0363.93009Anderson, Brian D. O.; Arbib, Michael A.; Manes, Ernest G. 2 1976 Extending the mirror neuron system model. I: Audible actions and invisible grasps. Zbl 1118.92008Bonaiuto, James; Rosta, Edina; Arbib, Michael 2 2007 Machine dependence of degrees of difficulty. Zbl 0135.25002Arbib, M. A.; Blum, M. 2 1965 Sequential and jumping machines and their relation to computers. Zbl 0244.68027Culik, Karel; Arbib, Michael A. 2 1973 Schema-based learning of adaptable and flexible prey-catching in anurans. II: Learning after lesioning. Zbl 1172.92375Corbacho, Fernando; Nishikawa, Kiisa C.; Weerasuriya, Ananda; Liaw, Jim-Shih; Arbib, Michael A. 2 2005 The cue interaction model of depth perception: A stability analysis. Zbl 0713.92004Chipalkatti, Renu; Arbib, Michael A. 2 1988 Modeling the dishabituation hierarchy: The role of the primordial hippocampus. Zbl 0775.92021Wang, DeLiang; Arbib, Michael A. 1 1992 The prey localisation model: a stability analysis. Zbl 0622.92027Chipalkatti, R.; Arbib, M. A. 1 1987 Models of visuomotor coordination in frog and monkey. Zbl 1126.92303Arbib, Michael A. 1 1994 A model of the cerebellum in adaptive control of saccadic gain. II: Simulation results. Zbl 0873.92008Schweighofer, Nicolas; Arbib, Michael A.; Dominey, Peter F. 1 1996 Colliding saccades evoked by frontal eye field stimulation: Artifact or evidence for an oculomotor compensatory mechanism underlying double-step saccades? Zbl 0925.92036Dominey, Peter Ford; Schlag, John; Schlag-Rey, Madeleine; Arbib, Michael A. 1 1997 An automaton framework for neural nets that learn. Zbl 0269.68054Kilmer, William L.; Arbib, Michael A. 1 1973 Eye movements and visual perception: A ’two visual system’ model. Zbl 0307.68080Didday, Richard L.; Arbib, Michael A. 1 1975 Time-varying systems. Zbl 0319.93007Arbib, Michael A.; Manes, Ernest G. 1 1975 Kybernetik und Bionik. Cybernetics and bionics. Berichtswerk über den 5. Kongress der Deutschen Gesellschaft für Kybernetik, durchgeführt in Nürnberg vom 28. bis 30. März 1973. Proceedings of the 5th congress of the Deutsche Gesellschaft für Kybernetik held at Nuremberg, March 28-30, 1973. Zbl 0323.93001 1 1974 Automata theory in the context of theoretical neurophysiology. Zbl 0336.92005Arbib, Michael A. 1 1973 Efficient state-splitting. Zbl 0364.18004Arbib, M. A.; Manes, E. G. 1 1977 Tree transformations and the semantics of loop-free programs. Zbl 0413.68054Arbib, M. A.; Manes, E. G. 1 1978 Systems matching and topographic maps: The branch-arrow model (BAM). Zbl 0483.92006Overton, K. J.; Arbib, M. A. 1 1982 Abstract syntax and the canonical fixpoint of recursive calls. Zbl 0492.68021Arbib, M. A.; Manes, E. G. 1 1981 Extending the mirror neuron system model. II: What did I just do? A new role for mirror neurons. Zbl 1266.92016Bonaiuto, James; Arbib, Michael A. 1 2010 Realization of stochastic systems. Zbl 0147.36801Arbib, M. A. 1 1967 Turing machines, finite automata and neural nets. Zbl 0173.01501Arbib, M. A. 1 1961 Extending the mirror neuron system model. II: What did I just do? A new role for mirror neurons. Zbl 1266.92016Bonaiuto, James; Arbib, Michael A. 1 2010 Extending the mirror neuron system model. I: Audible actions and invisible grasps. Zbl 1118.92008Bonaiuto, James; Rosta, Edina; Arbib, Michael 2 2007 Mirror neurons and imitation: a computationally guided review. Zbl 1095.68649Oztop, Erhan; Kawato, Mitsuo; Arbib, Michael 5 2006 Schema-based learning of adaptable and flexible prey-catching in anurans. II: Learning after lesioning. Zbl 1172.92375Corbacho, Fernando; Nishikawa, Kiisa C.; Weerasuriya, Ananda; Liaw, Jim-Shih; Arbib, Michael A. 2 2005 The handbook of brain theory and neural networks. 2 nd ed. Zbl 1106.92011 11 2003 Schema design and implementation of the grasp-related mirror neuron system. Zbl 1104.92313Oztop, Erhan; Arbib, Michael A. 10 2002 Neural organization: structure, function, and dynamics. Zbl 1053.92501Arbib, Michael A.; Érdi, Péter; Szentágothai, János 7 1997 Colliding saccades evoked by frontal eye field stimulation: Artifact or evidence for an oculomotor compensatory mechanism underlying double-step saccades? Zbl 0925.92036Dominey, Peter Ford; Schlag, John; Schlag-Rey, Madeleine; Arbib, Michael A. 1 1997 A model of the cerebellum in adaptive control of saccadic gain. I: The model and its biological substrate. Zbl 0873.92007Schweighofer, Nicolas; Arbib, Michael A.; Dominey, Peter F. 4 1996 A model of the cerebellum in adaptive control of saccadic gain. II: Simulation results. Zbl 0873.92008Schweighofer, Nicolas; Arbib, Michael A.; Dominey, Peter F. 1 1996 Models of visuomotor coordination in frog and monkey. Zbl 1126.92303Arbib, Michael A. 1 1994 A mathematical analysis of the force-stiffness characteristics of muscles in control of a single joint system. Zbl 0825.92024Shadmehr, Reza; Arbib, Michael A. 8 1992 Modeling the dishabituation hierarchy: The role of the primordial hippocampus. Zbl 0775.92021Wang, DeLiang; Arbib, Michael A. 1 1992 The metaphorical brain 2. Neural networks and beyond. Zbl 1079.92500Arbib, M. A. 6 1989 An introduction to formal language theory. With contributions by James Pustejovsky. Zbl 0655.68002Moll, Robert N.; Arbib, Michael A.; Kfoury, A. J. 2 1988 From universal Turing machines to self-reproduction. Zbl 0681.01009Arbib, Michael A. 2 1988 The cue interaction model of depth perception: A stability analysis. Zbl 0713.92004Chipalkatti, Renu; Arbib, Michael A. 2 1988 Brains, machines, and mathematics. 2nd ed. (Brains, machines, and mathematics.) Zbl 0645.68001Arbib, Michael A. 14 1987 The prey localisation model: a stability analysis. Zbl 0622.92027Chipalkatti, R.; Arbib, M. A. 1 1987 Algebraic approaches to program semantics. Zbl 0599.68008Manes, Ernest G.; Arbib, Michael A. 60 1986 Port automata and the algebra of concurrent porcesses. Zbl 0535.68025Steenstrup, Martha; Arbib, Michael A.; Manes, Ernest G. 2 1983 A programming approach to computability. Zbl 0497.68025Kfoury, A. J.; Moll, Robert N.; Arbib, Michael A. 9 1982 The pattern-of-calls expansion is the canonical fixpoint for recursive definitions. Zbl 0478.68016Arbib, Michael A.; Manes, Ernest G. 8 1982 Parametrized data types do not need highly constrained parameters. Zbl 0505.68013Arbib, Michael A.; Manes, Ernest G. 7 1982 Competition and cooperation in neural nets. Proceedings of the U.S.-Japan Joint Seminar held at Kyoto, Japan, February 15-19, 1982. Zbl 0477.00041 4 1982 Systems matching and topographic maps: The branch-arrow model (BAM). Zbl 0483.92006Overton, K. J.; Arbib, M. A. 1 1982 A basis for theoretical computer science. Zbl 0471.68002Arbib, Michael A.; Kfoury, A. J.; Moll, Robert N. 3 1981 Abstract syntax and the canonical fixpoint of recursive calls. Zbl 0492.68021Arbib, M. A.; Manes, E. G. 1 1981 Partially additive categories and flow-diagram semantics. Zbl 0429.68021Arbib, Michael A.; Manes, Ernest G. 19 1980 Machines in a category. Zbl 0441.18010Arbib, Michael A.; Manes, Ernest G. 6 1980 Foundations of system theory: The Hankel matrix. Zbl 0446.93003Arbib, Michael A.; Manes, Ernest G. 6 1980 Generalized Hankel matrices and system realization. Zbl 0469.93028Arbib, Michael A.; Manes, Ernest G. 4 1980 Partially-additive monoids, graph-growing, and the algebraic semantics of recursive calls. Zbl 0414.68055Arbib, M. A.; Manes, E. G. 7 1979 Intertwined recursion, tree transformations, and linear systems. Zbl 0413.68053Arbib, Michael A.; Manes, Ernest G. 3 1979 The design of well-structured and correct programs. Zbl 0393.68005Alagic, Suad; Arbib, Michael A. 12 1978 Tree transformations and the semantics of loop-free programs. Zbl 0413.68054Arbib, M. A.; Manes, E. G. 1 1978 Efficient state-splitting. Zbl 0364.18004Arbib, M. A.; Manes, E. G. 1 1977 Foundations of system theory: Finitary and infinitary conditions. Zbl 0462.93003Anderson, B. D. O.; Arbib, M. A.; Manes, E. G. 12 1976 Foundations of system theory: Multidecomposable systems. Zbl 0363.93009Anderson, Brian D. O.; Arbib, Michael A.; Manes, Ernest G. 2 1976 Arrows, structures and functors. The categorical imperative. Zbl 0374.18001Arbib, Michael A.; Manes, Ernest G. 66 1975 Adjoint machines, state-behavior machines, and duality. Zbl 0323.18002Arbib, Michael A.; Manes, Ernest G. 27 1975 A categorist’s view of automata and systems. Zbl 0306.18002Arbib, M. A.; Manes, E. G. 26 1975 Fuzzy machines in a category. Zbl 0318.18008Arbib, Michael A.; Manes, Ernest G. 19 1975 Basic concepts of category theory applicable to computation and control. Zbl 0306.18001Arbib, M. A.; Manes, E. G. 8 1975 From automata theory to brain theory. Zbl 0314.94031Arbib, Michael A. 7 1975 A category-theoretic approach to systems in a fuzzy world. Zbl 0301.18002Arbib, Michael A.; Manes, Ernest G. 6 1975 Fuzzy morphisms in automata theory. Zbl 0306.18003Arbib, M. A.; Manes, E. G. 4 1975 Extensions of semilattices. Zbl 0325.94033Arbib, M. A.; Manes, E. G. 2 1975 Eye movements and visual perception: A ’two visual system’ model. Zbl 0307.68080Didday, Richard L.; Arbib, Michael A. 1 1975 Time-varying systems. Zbl 0319.93007Arbib, Michael A.; Manes, Ernest G. 1 1975 Machines in a category: An expository introduction. Zbl 0288.18005Arbib, Michael A.; Manes, Ernest G. 37 1974 Foundations of system theory: Decomposable systems. Zbl 0294.93002Arbib, Michael A.; Manes, Ernest G. 24 1974 System theory. A unified state-space approach to continuous and discrete systems. Zbl 0317.93001Padulo, Louis; Arbib, Michael A. 18 1974 Discrete mathematics: Applied algebra for computer and information science. Zbl 0314.94002Bobrow, Leonard S.; Arbib, Michael A. 7 1974 Kybernetik und Bionik. Cybernetics and bionics. Berichtswerk über den 5. Kongress der Deutschen Gesellschaft für Kybernetik, durchgeführt in Nürnberg vom 28. bis 30. März 1973. Proceedings of the 5th congress of the Deutsche Gesellschaft für Kybernetik held at Nuremberg, March 28-30, 1973. Zbl 0323.93001 1 1974 Coproducts and decomposable machines. Zbl 0279.94043Arbib, Michael A. 4 1973 Sequential and jumping machines and their relation to computers. Zbl 0244.68027Culik, Karel; Arbib, Michael A. 2 1973 An automaton framework for neural nets that learn. Zbl 0269.68054Kilmer, William L.; Arbib, Michael A. 1 1973 Automata theory in the context of theoretical neurophysiology. Zbl 0336.92005Arbib, Michael A. 1 1973 The metaphorical brain. An introduction to cybernetics as artificial intelligence and brain theory. Zbl 0269.92002Arbib, Michael A. 13 1972 Topics in mathematical system theory. (Ocherki po matematicheskoj teorii sistem.) Übersetzung aus dem Englischen von Eh. L. Nappel’baum. Herausgegeben von Ya. Z. Tsypkin. Zbl 0231.49002Kalman, R. E.; Falb, Pl. L.; Arbib, M. A. 17 1971 Topics in mathematical system theory. Zbl 0231.49001Kalman, R. E.; Falb, P. L.; Arbib, M. A. 557 1969 Theories of abstract automata. Zbl 0193.32801Arbib, M. A. 49 1969 On the relevance of abstract algebra to control theory. Zbl 0199.49303Arbib, M. A.; Zeiger, H. P. 22 1969 Algebraic theory of machines, languages, and semigroups. Zbl 0181.01501Arbib, M. A. 69 1968 Algebra automata. I: Parallel programming as a prolegomena to the categorical approach. II: The categorial framework for dynamic analysis. Zbl 0164.32201Arbib, M. A.; Give’on, Y. 22 1968 Brains, machines and mathematics. Zbl 0174.02401Arbib, M. A. 15 1968 The automata theory of semigroup embeddings. Zbl 0159.02502Arbib, M. A. 4 1968 Tolerance automata. Zbl 0153.01201Arbib, M. A. 8 1967 Automaton automorphisms. Zbl 0156.25404Arbib, M. A. 7 1967 Realization of stochastic systems. Zbl 0147.36801Arbib, M. A. 1 1967 Automata theory and control theory - a rapprochement. Zbl 0141.28402Arbib, M. A. 14 1966 Simple self-reproducing universal automata. Zbl 0143.02102Arbib, M. A. 12 1966 Categories of \((\mathfrak M, \mathfrak R)\)-systems. Zbl 0151.00804Arbib, Michael 5 1966 A common framework for automata theory and control theory. Zbl 0145.12401Arbib, Michael A. 11 1965 Hitting and martingale characterizations of one-dimensional diffusions. Zbl 0202.47203Arbib, M. A. 8 1965 Machine dependence of degrees of difficulty. Zbl 0135.25002Arbib, M. A.; Blum, M. 2 1965 Turing machines, finite automata and neural nets. Zbl 0173.01501Arbib, M. A. 1 1961 all cited Publications top 5 cited Publications all top 5 Cited by 1,316 Authors 25 Arbib, Michael A. 17 Fuhrmann, Paul A. 13 Alpay, Daniel Aron 12 Rusanov, Vyacheslav Anatolievich 11 Ehrig, Hartmut 11 Manes, Ernest G. 11 Warner, Mary Wynne 10 Kaashoek, Marinus Adriaan 10 Sakhnovich, Alexander L. 9 Adámek, Jiří 9 Kučera, Vladimir V. 9 Kvitko, Aleksandr Nikolaevich 8 Bart, Harm 8 Belishev, Mikhail Igorevitch 8 Ésik, Zoltán 8 Metel’skij, A. V. 7 Anan’evskiĭ, Igor M. 7 Casti, John L. 7 Formalskii, Alexander M. 7 Goguen, Joseph Amadee 7 Gohberg, Israel 7 Grasselli, Osvaldo Maria 7 Helmke, Uwe R. 7 Jacobs, Bart 7 Naude, Gert 7 Sontag, Eduardo D. 7 Willems, Jan Camiel 6 Arov, Damir Zyamovich 6 Kalenova, Vera I. 6 Minyuk, S. A. 6 Morozov, Victor M. 6 Rutten, Jan J. M. M. 6 Silva, Alexandra 6 Steinberg, Benjamin 6 Tiwari, S. P. 5 Ammar-Khodja, Farid 5 Bahamonde, Antonio 5 Benabdallah, Assia 5 Costanza, Vicente 5 Fliess, Michel 5 González-Burgos, Manuel 5 Koubek, Vaclav 5 Kreowski, Hans-Jörg 5 Lakeyev, Anatoliĭ Valentinovich 5 Linke, Yuriĭ Èrnievich 5 Longhi, Sauro 5 Marchenko, Vladimir M. 5 Osetinskii, N. I. 5 Pushkov, Sergey G. 5 Rivadeneira, Pablo S. 5 Tarlecki, Andrzej 5 Violet, Grey 5 Zahedi, Mohammad Mehdi 4 Abolpour, Khadijeh 4 Anderson, Brian David Outram 4 Benson, David B. 4 Bittanti, Sergio 4 Delforge, Jacques 4 Haghverdi, Esfandiar 4 Hammer, Jacob 4 Meseguer Guaita, José 4 Ovseevich, Aleksandr Iosifovich 4 Rodman, Leiba X. 4 Ryabchenko, Vladimir Nikolaevich 4 Scott, Philip J. 4 Sharpinskii, D. Yu. 4 Stamova, Ivanka Milkova 4 Vainshtein, F. S. 4 Vinnikov, Victor L. 4 Volok, Dan 4 Zalcstein, Yechezkel 4 Zeigler, Bernard P. 3 Amoroso, Serafino 3 Antoulas, Athanasios C. 3 Aoustin, Yannick 3 Balandin, Dmitriĭ Vladimirovich 3 Baratchart, Laurent 3 Bloom, Stephen L. 3 Bonaiuto, James 3 Bozapalidis, Symeon 3 Climent, Joan-Josep 3 Cockett, J. Robin B. 3 Colombo, Fabrizio 3 Conte, Giuseppe 3 Daneev, Aleksey Vasilyevich 3 de Teresa, Luz 3 Demchenko, Maxim Nikolaevich 3 Duan, Guangren 3 Fornasini, Ettore 3 Frazho, Arthur E. 3 Fritzsche, Bernd 3 Gaines, Brian R. 3 Georgiou, Tryphon T. 3 Göknar, Izzet Cem 3 Habel, Annegret 3 Heij, Christiaan 3 Hermida, Claudio 3 Herranz, Victoria 3 Horikawa, Yo 3 Johnson, C. D. ...and 1,216 more Authors all top 5 Cited in 240 Serials 65 Theoretical Computer Science 55 Linear Algebra and its Applications 40 International Journal of Control 39 Journal of Computer and System Sciences 30 Biological Cybernetics 30 Mathematical Systems Theory 27 Automatica 23 Kybernetika 22 Systems & Control Letters 22 Differential Equations 21 Journal of Computer and Systems Sciences International 20 International Journal of Systems Science 18 International Journal of General Systems 17 Semigroup Forum 16 Journal of Pure and Applied Algebra 16 Automation and Remote Control 15 Journal of Mathematical Sciences (New York) 14 Mathematical Biosciences 13 Journal of Mathematical Analysis and Applications 13 Bulletin of Mathematical Biology 13 Information Sciences 13 Integral Equations and Operator Theory 13 Kybernetes 13 Information and Computation 12 Journal of the Franklin Institute 11 International Journal of Control, I. Series 10 Cybernetics and Systems Analysis 9 Applied Mathematics and Computation 9 Fuzzy Sets and Systems 9 Doklady Mathematics 8 Information Processing Letters 8 Journal of Applied Mathematics and Mechanics 8 Journal of Functional Analysis 8 Journal of Optimization Theory and Applications 8 MCSS. Mathematics of Control, Signals, and Systems 8 International Journal of Algebra and Computation 8 MSCS. Mathematical Structures in Computer Science 7 Acta Informatica 7 Neural Networks 6 Bulletin of the Australian Mathematical Society 6 Algebra Universalis 6 Czechoslovak Mathematical Journal 6 Synthese 6 Acta Applicandae Mathematicae 5 Prikladnaya Matematika i Mekhanika 5 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Psychology 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 Quaestiones Mathematicae 5 Transactions of the American Mathematical Society 5 Mathematical Social Sciences 5 Physica D 5 International Journal of Computer Mathematics 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Computers & Mathematics with Applications 4 Discrete Mathematics 4 Journal of Mathematical Physics 4 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Algebra 4 Journal of Differential Equations 4 Mathematics and Computers in Simulation 4 RAIRO, Informatique Théorique 4 Siberian Mathematical Journal 4 Cybernetics and Systems 4 International Journal of Intelligent Systems 4 Computational Mathematics and Mathematical Physics 4 Annals of Mathematics and Artificial Intelligence 4 European Journal of Control 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 4 Journal of Applied Mathematics and Computing 3 Artificial Intelligence 3 Stochastics 3 International Journal of Computer & Information Sciences 3 Applied Mathematics Letters 3 Formal Aspects of Computing 3 Computational Mathematics and Modeling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Diagrammes 3 Mathematical Problems in Engineering 3 RAIRO. Theoretical Informatics and Applications 3 Natural Computing 3 Journal of Intelligent and Fuzzy Systems 3 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Logical and Algebraic Methods in Programming 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics 2 Journal of Mathematical Biology 2 Mathematical Notes 2 Physics Letters. A 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 International Journal of Circuit Theory and Applications 2 Journal of Soviet Mathematics 2 Numerische Mathematik 2 Studia Logica 2 Optimal Control Applications & Methods 2 Cybernetics 2 Journal of Information & Optimization Sciences ...and 140 more Serials all top 5 Cited in 53 Fields 487 Systems theory; control (93-XX) 359 Computer science (68-XX) 143 Category theory; homological algebra (18-XX) 113 Biology and other natural sciences (92-XX) 67 Mathematical logic and foundations (03-XX) 58 Group theory and generalizations (20-XX) 58 Ordinary differential equations (34-XX) 52 Operator theory (47-XX) 46 Information and communication theory, circuits (94-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 36 Mechanics of particles and systems (70-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 General algebraic systems (08-XX) 29 Partial differential equations (35-XX) 27 Functional analysis (46-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 24 Associative rings and algebras (16-XX) 24 Probability theory and stochastic processes (60-XX) 23 Numerical analysis (65-XX) 18 Operations research, mathematical programming (90-XX) 15 Statistics (62-XX) 14 Combinatorics (05-XX) 14 Commutative algebra (13-XX) 14 Functions of a complex variable (30-XX) 13 General topology (54-XX) 11 Approximations and expansions (41-XX) 11 Quantum theory (81-XX) 10 Difference and functional equations (39-XX) 9 Integral equations (45-XX) 8 Number theory (11-XX) 8 Algebraic topology (55-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Field theory and polynomials (12-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Special functions (33-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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