Complex Systems

 Short Title: Complex Syst. Publisher: Complex Systems Publications, Champaign, IL ISSN: 0891-2513 Online: http://www.complex-systems.com/archives.htmlhttps://www.complex-systems.com/archives/ Comments: This journal is available open access.
 Documents Indexed: 576 Publications (since 1987)
all top 5

Latest Issues

 31, No. 1 (2022) 30, No. 4 (2021) 30, No. 3 (2021) 30, No. 2 (2021) 30, No. 1 (2021) 29, No. 4 (2020) 29, No. 3 (2020) 29, No. 1 (2020) 28, No. 4 (2019) 28, No. 3 (2019) 28, No. 2 (2019) 27, No. 4 (2018) 27, No. 2 (2018) 27, No. 1 (2018) 26, No. 4 (2017) 26, No. 3 (2017) 26, No. 2 (2017) 26, No. 1 (2017) 25, No. 4 (2016) 25, No. 3 (2016) 25, No. 2 (2016) 25, No. 1 (2016) 24, No. 4 (2015) 24, No. 3 (2015) 24, No. 2 (2015) 24, No. 1 (2015) 23, No. 4 (2014) 23, No. 3 (2014) 23, No. 2 (2014) 23, No. 1 (2014) 22, No. 4 (2013) 22, No. 3 (2013) 22, No. 2 (2013) 22, No. 1 (2013) 21, No. 4 (2013) 21, No. 3 (2012) 21, No. 2 (2012) 21, No. 1 (2012) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2011) 20, No. 1 (2011) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2010) 19, No. 1 (2010) 18, No. 4 (2010) 18, No. 3 (2009) 18, No. 2 (2009) 18, No. 1 (2008) 17, No. 4 (2008) 17, No. 3 (2007) 17, No. 1-2 (2007) 16, No. 4 (2007) 16, No. 3 (2006) 16, No. 2 (2006) 16, No. 1 (2006) 15, No. 4 (2005) 15, No. 3 (2005) 15, No. 2 (2005) 15, No. 1 (2004) 14, No. 4 (2004) 14, No. 3 (2004) 14, No. 2 (2003) 14, No. 1 (2003) 13, No. 4 (2001) 13, No. 3 (2001) 13, No. 2 (2001) 13, No. 1 (2001) 12, No. 4 (2000) 12, No. 3 (2000) 12, No. 2 (2000) 12, No. 1 (2000) 11, No. 6 (1997) 11, No. 5 (1997) 11, No. 4 (1997) 11, No. 3 (1997) 11, No. 2 (1997) 11, No. 1 (1997) 10, No. 6 (1996) 10, No. 5 (1996) 10, No. 4 (1996) 10, No. 3 (1996) 10, No. 2 (1996) 10, No. 1 (1996) 9, No. 6 (1995) 9, No. 5 (1995) 9, No. 4 (1995) 9, No. 3 (1995) 9, No. 2 (1995) 9, No. 1 (1995) 8, No. 6 (1994) 8, No. 5 (1994) 8, No. 4 (1994) 8, No. 3 (1994) 8, No. 2 (1994) 8, No. 1 (1994) 7, No. 6 (1993) 7, No. 5 (1993) 7, No. 4 (1993) ...and 36 more Volumes
all top 5

Authors

 11 Bays, Carter 10 Goldberg, David Edward 9 Alonso-Sanz, Ramón 8 Voorhees, Burton H. 7 Adamatzky, Andrew I. 7 Goles Chacc, Eric 6 Culik, Karel II 6 Garzon, Max H. 6 Martínez, Genaro J. 6 Neelakanta, Perambur S. 6 Szilagyi, Miklos N. 5 Deb, Kalyanmoy 5 Ndoundam, René 5 Saad, David 5 Squier, Richard K. 5 Steiglitz, Kenneth 5 Sutner, Klaus 4 Das, Sukanta 4 Gunji, Yukio-Pegio 4 Hurd, Lyman P. 4 Kargupta, Hillol 4 Marom, Emanuel 4 Wolpert, David H. 3 Abusalah, Salahalddin T. 3 Banzhaf, Wolfgang 3 Bartlett, Ron 3 Binder, Philippe M. 3 Bull, Larry 3 Cavalcante, Andre Luis Brasil 3 Chaudhuri, Parimal Pal 3 Chen, Fangyue 3 De Florio, Vincenzo 3 De Groff, Dolores F. 3 Doolen, Gary D. 3 Fukś, Henryk 3 Ghosh, Soumyabrata 3 Guan, Junbiao 3 Jeganathan, L. 3 Kůrka, Petr 3 Liepins, Gunar E. 3 Lindgren, Kristian 3 Maiti, Nirmalya Sundar 3 Mansilla, Ricardo 3 Margenstern, Maurice 3 Moore, Cristopher 3 Nordahl, Mats G. 3 de Sena Monteiro Ozelim, Luan Carlos 3 Park, Joseph C. H. 3 Rowland, Eric S. 3 Sikdar, Biplab K. 3 Sudhakar, Raghavan 3 Tomassini, Marco 3 Vilelamendes, R. 2 Aguirre, Carlos 2 Aicardi, Francesca 2 Anderson, James R. 2 Barfoot, Timothy D. 2 Botelho, Fernanda 2 Broomhead, David S. 2 Burkitt, Anthony N. 2 Caianiello, Eduardo R. 2 Calude, Cristian S. 2 Calude, Elena 2 Cannings, Chris 2 Chen, Hudong 2 Chen, Shiyi 2 Collard, Philippe 2 Cosnard, Michel Y. 2 Crutchfield, James P. 2 de F. Borges, Lucas P. 2 de Marrais, Robert P. C. 2 D’Eleuterio, Gabriele M. T. 2 Domany, Eytan 2 Dube, Simant 2 Fahner, Gerald 2 Fatès, Nazim A. 2 Flynn, David B. 2 Fokas, Athanassios S. 2 Franklin, Stan 2 Freund, Harald 2 Furutani, Hiroshi 2 Gafiychuk, Vasyl V. 2 Gómez Soto, José Manuel 2 Gorard, Jonathan 2 Grabowski, Franciszek 2 Grassberger, Peter 2 Gravner, Janko 2 Grössing, Gerhard 2 Grossman, Tal 2 Guan, Puhua 2 Halpern, Paul 2 Hénon, Michel 2 Heudin, Jean-Claude 2 Homaifar, Abdollah 2 Huerta, Ramón 2 Jen, Erica 2 Kawczynski, Andrzej Lech 2 Klüver, Jürgen 2 Kopocińska, Ilona 2 Korb, Bradley ...and 684 more Authors
all top 5

Fields

 423 Computer science (68-XX) 122 Dynamical systems and ergodic theory (37-XX) 94 Biology and other natural sciences (92-XX) 35 Statistical mechanics, structure of matter (82-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Operations research, mathematical programming (90-XX) 29 Fluid mechanics (76-XX) 29 Information and communication theory, circuits (94-XX) 24 Combinatorics (05-XX) 16 Probability theory and stochastic processes (60-XX) 14 Systems theory; control (93-XX) 13 Statistics (62-XX) 12 Mathematical logic and foundations (03-XX) 11 Numerical analysis (65-XX) 10 Number theory (11-XX) 8 Measure and integration (28-XX) 7 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 Ordinary differential equations (34-XX) 4 Convex and discrete geometry (52-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)

Citations contained in zbMATH Open

294 Publications have been cited 2,034 times in 1,609 Documents Cited by Year
Multivariable functional interpolation and adaptive networks. Zbl 0657.68085
1988
Lattice gas hydrodynamics in two and three dimensions. Zbl 0662.76101
Frisch, Uriel; d’Humières, Dominique; Hasslacher, Brosl; Lallemand, Pierre; Pomeau, Yves; Rivet, Jean-Pierre
1987
Cellular automata machines. Zbl 0655.68055
Margolus, Norman; Toffoli, Tommaso
1987
Simulated binary crossover for continuous search space. Zbl 0843.68023
Deb, Kalyanmoy; Agrawal, Ram Bhushan
1995
Universality in elementary cellular automata. Zbl 1167.68387
Cook, Matthew
2004
Messy genetic algorithms: Motivation, analysis, and first results. Zbl 0727.68097
Goldberg, David E.; Korb, Bradley; Deb, Kalyanmoy
1989
Undecidability of CA classification schemes. Zbl 0657.68054
Culik, Karel II; Yu, Sheng
1988
Equations of motion from a data series. Zbl 0675.58026
Crutchfield, James P.; McNamara, Bruce S.
1987
A fluid-dynamic model for the movement of pedestrians. Zbl 0776.92016
Helbing, Dirk
1992
On the entropy geometry of cellular automata. Zbl 0672.68025
Milnor, John
1988
Large-step Markov chains for the traveling salesman problem. Zbl 0736.90063
Martin, Olivier; Otto, Steve W.; Felten, Edward W.
1991
Gene expression programming: a new adaptive algorithm for solving problems. Zbl 1167.92329
Ferreira, Cândida
2001
Real-coded genetic algorithms, virtual alphabets, and blocking. Zbl 0764.68143
Goldberg, David E.
1991
Genetic algorithms and Walsh functions. I: A gentle introduction. Zbl 0748.68050
Goldberg, David E.
1989
Genetic algorithms, noise, and the sizing of populations. Zbl 0800.68600
Goldberg, David E.; Deb, Kalyanmoy; Clark, James H.
1992
Universal computation in simple one-dimensional cellular automata. Zbl 0724.68072
Lindgren, Kristian; Nordahl, Mats G.
1990
De Bruijn graphs and linear cellular automata. Zbl 0764.68100
Sutner, Klaus
1991
Revisiting the edge of chaos: Evolving cellular automata to perform computations. Zbl 0834.68086
Mitchell, Melanie; Hraber, Peter T.; Crutchfield, James P.
1993
A simple universal cellular automaton and its one-way and totalistic version. Zbl 0655.68065
Albert, Jürgen; Culik, Karel II
1987
Punctuated equilibria in genetic search. Zbl 0764.68149
Vose, Michael D.; Liepins, Gunar E.
1991
An experimental study of robustness to asynchronism for elementary cellular automata. Zbl 1167.37307
Fatès, Nazim A.; Morvan, Michel
2006
A mean field theory learning algorithm for neural networks. Zbl 0657.68082
Peterson, Carsten; Anderson, James R.
1987
How learning can guide evolution. Zbl 0651.92015
Hinton, Geoffrey E.; Nowlan, Steven J.
1987
Bayesian back-propagation. Zbl 0761.62031
Buntine, Wray L.; Weigend, Andreas S.
1991
Formal language characterizations of cellular automaton limit sets. Zbl 0655.68105
Hurd, Lyman P.
1987
Parallel networks that learn to pronounce English text. Zbl 0655.68107
Sejnowski, Terrence; Rosenberg, Charles R.
1987
Citations and the Zipf-Mandelbrot law. Zbl 0956.68541
1997
Cellular automata in the Cantor, Besicovitch, and Weyl topological spaces. Zbl 0928.68080
Blanchard, François; Formenti, Enrico; Kůrka, Petr
1997
A cellular automaton for Burgers’ equation. Zbl 0659.65119
Boghosian, Bruce M.; Levermore, C. David
1987
Quantum cellular automata. Zbl 0661.68050
Grössing, Gerhard; Zeilinger, Anton
1988
Period-doublings to chaos in a simple neural network: An analytical proof. Zbl 0765.58017
Wang, Xin
1991
A note on Boltzmann tournament selection for genetic algorithms and population-oriented simulated annealing. Zbl 0717.68083
Goldberg, David E.
1990
NP-complete problems in cellular automata. Zbl 0648.68067
Green, Frederic
1987
Eddy viscosity and diffusivity: Exact formulas and approximations. Zbl 0652.76037
Kraichnan, Robert H.
1987
Viscosity of a lattice gas. Zbl 0665.76078
Hénon, Michel
1987
Equivalence class analysis of genetic algorithms. Zbl 0745.92015
1991
Monomial dynamical systems over finite fields. Zbl 1167.37320
Colón-Reyes, Omar; Jarrah, Abdul Salam; Laubenbacher, Reinhard; Sturmfels, Bernd
2007
On $$\sigma$$-automata. Zbl 0657.68060
Sutner, Klaus
1988
Genetic algorithms and Walsh functions. II: Deception and its analysis. Zbl 0748.68051
Goldberg, David E.
1989
Undecidable problems in fractal geometry. Zbl 0816.58024
Dube, Simant
1993
Memetic algorithms for the traveling salesman problem. Zbl 1167.90693
Merz, Peter; Freisleben, Bernd
2001
Accelerated learning in layered neural networks. Zbl 0684.68098
Solla, Sara A.; Levin, Esther; Fleisher, Michael
1988
Life without death is P-complete. Zbl 0912.68140
Griffeath, David; Moore, Cristopher
1996
Backpropagation can give rise to spurious local minima even for networks without hidden layers. Zbl 0732.68091
Sontag, Eduardo D.; Sussmann, Héctor J.
1989
Efficient algorithms with neural network behavior. Zbl 0659.68101
Omohundro, Stephen M.
1987
Complex chaotic behavior of a class of subshift cellular automata. Zbl 0832.58022
Braga, G.; Cattaneo, G.; Flocchini, P.; Mauri, G.
1993
Elementary cellular automata with memory. Zbl 1167.68384
Alonso-Sanz, Ramón; Martín, Margarita
2003
Additive automata on graphs. Zbl 0679.68107
Sutner, Klaus
1988
Recursive cellular automata invariant sets. Zbl 0722.68083
Hurd, Lyman P.
1990
Fixed points of majority rule cellular automata with application to plasticity and precision of the immune system. Zbl 0729.68050
Agur, Zvia
1991
Candidates for the game of life in three dimensions. Zbl 0655.68063
Bays, Carter
1987
On invertible cellular automata. Zbl 0657.68053
Culik, Karel II
1987
Parallel chip firing on digraphs. Zbl 0826.68098
Prisner, Erich
1994
Staggered invariants in cellular automata. Zbl 0843.68078
Takesue, Shinji
1995
A note on Culik-Yu classes. Zbl 0732.68082
Sutner, Klaus
1989
Designing neural networks using genetic algorithms with graph generation system. Zbl 0709.92539
Kitano, Hiroaki
1990
Messy genetic algorithms revisited: Studies in mixed size and scale. Zbl 0721.68026
Goldberg, David E.; Deb, Kalyanmoy; Korb, Bradley
1990
Cellular automaton public-key cryptosystem. Zbl 0652.94014
Guan, Puhua
1987
Neural networks and NP-complete optimization problems; a performance study on the graph bisection problem. Zbl 0653.90086
Peterson, Carsten; Anderson, James R.
1988
Large automatic learning, rule extraction, and generalization. Zbl 0662.68085
Denker, John; Schwartz, Daniel; Wittner, Ben; Solla, Sara; Howard, Richard; Jackel, Lawrence; Hopfield, John
1987
Complexity measures and cellular automata. Zbl 0667.68066
Lindgren, Kristian; Nordahl, Mats G.
1988
Introduction to terminal dynamics. Zbl 0817.34027
Zak, Michail
1993
Evaluating the complexity of mathematical problems. I. Zbl 1186.68226
Calude, Cristian S.; Calude, Elena
2009
Evaluating the complexity of mathematical problems. II. Zbl 1203.68056
Calude, Cristian S.; Calude, Elena
2010
Compression-based investigation of the dynamical properties of cellular automata and other systems. Zbl 1217.68145
Zenil, Hector
2010
Temporal Boolean network models of genetic networks and their inference from gene expression time series. Zbl 1167.92335
2001
Fractal and recurrent behavior of cellular automata. Zbl 0732.68079
Culik, Karel II; Dube, Simant
1989
A two-dimensional genetic algorithm for the Ising problem. Zbl 0729.68074
Anderson, Charles A.; Jones, Kathryn F.; Ryan, Jennifer
1991
Genetic algorithms and the variance of fitness. Zbl 0729.68075
Goldberg, David E.; Rudnick, Mike
1991
Isometric collision rules for the four-dimensional FCHC lattice gas. Zbl 0652.76051
Hénon, Michel
1987
Local structure theory in more than one dimension. Zbl 0655.68062
Gutowitz, Howard A.; Victor, Jonathan D.
1987
Power spectra of regular languages and cellular automata. Zbl 0825.68469
Li, Wentian
1987
On the relationship between complexity and entropy for Markov chains and regular languages. Zbl 0799.68116
Li, Wentian
1991
Cellular automata as algebraic systems. Zbl 0768.68105
Pedersen, John
1992
On the predictability of coupled automata: An allegory about chaos. Zbl 0760.68031
Buss, Samuel R.; Papadimitriou, Christos H.; Tsitsiklis, John N.
1991
Finite Markov chain models of an alternative selection strategy for the genetic algorithm. Zbl 0807.92016
Mahfoud, Samir W.
1993
Evolution complexity of the elementary cellular automaton rule 18. Zbl 1167.37308
Jiang, Zhisong; Xie, Huimin
2001
Computing in spiral rule reaction-diffusion hexagonal cellular automaton. Zbl 1167.37374
2007
Exponential transient classes of symmetric neural networks for synchronous and sequential updating. Zbl 0727.68098
Goles, Eric; Martinez, Servet
1989
Chaotic optimization and the construction of fractals: Solution of an inverse problem. Zbl 0729.58033
Mantica, Giorgio; Sloan, Alan
1989
Correlation and random information in cellular automata. Zbl 0648.68068
Lindgren, Kristian
1987
Efficient parallel simulations of asynchronous cellular arrays. Zbl 0654.68057
Lubachevsky, Boris D.
1987
Fast computation of additive cellular automata. Zbl 0655.68064
Robison, Arch D.
1987
Complexity, depth, and sophistication. Zbl 0656.68049
Koppel, Moshe
1987
Scaling relationships in back-propagation learning. Zbl 0657.68084
Tesauro, Gerald; Janssens, Bob
1988
An analysis of non-binary genetic algorithms with cardinality $$2^ v$$. Zbl 0826.68059
Bhattacharyya, Siddhartha; Koehler, Gary J.
1994
Power spectral analysis of elementary cellular automata. Zbl 1169.68531
Ninagawa, Shigeru
2008
Projectional entropy in higher dimensional shifts of finite type. Zbl 1167.37319
Johnson, Aimee; Kass, Steve; Madden, Kathleen
2007
Spontaneously activated systems in neurodynamics. Zbl 0709.92004
Zak, Michail
1989
Nonrecursive cellular automata invariant sets. Zbl 0724.68055
Hurd, Lyman P.
1990
Quantum fractals. Zbl 0649.60107
Amir-Azizi, Siamak; Hey, Anthony J. G.; Morris, Timothy R.
1987
The value of a random game: The advantage of rationality. Zbl 0654.90100
Faris, William G.; Maier, Robert S.
1987
Upper bound on the number of cycles in border-decisive cellular automata. Zbl 0655.68061
Guan, Puhua; He, Yu
1987
On soliton collisions between localizations in complex elementary cellular automata: rules 54 and 110 and beyond. Zbl 1262.37009
Martínez, Genaro J.; Adamatzky, Andrew; Chen, Fangyue; Chua, Leon
2012
A mathematical theory of generalization. II. Zbl 0744.92008
Wolpert, David H.
1990
On the connection between in-sample testing and generalization error. Zbl 0792.68144
Wolpert, David H.
1992
One-dimensional deterministic Greenberg-Hasings models. Zbl 0867.68120
Fisch, Robert; Gravner, Janko
1995
Algebraic properties of the block transformation on cellular automata. Zbl 0893.68109
Moore, Christopher; Drisko, Arthur A.
1996
Complex dynamics emerging in rule 30 with majority memory. Zbl 1192.68442
Martínez, Genaro J.; Adamatzky, Andrew; Alonso-Sanz, Ramon
2009
The dynamics of a genetic algorithm on a model hard optimization problem. Zbl 0955.68099
1997
Maximal temporal period of a periodic solution generated by a one-dimensional cellular automaton. Zbl 1474.37015
Gravner, Janko; Liu, Xiaochen
2021
Methodological approaches for the Fokker-Planck equation associated to nonlinear stochastic differential systems with uncertain parameters. Zbl 1473.65014
Said, Mohamed Ben; Salleh, Ihsane; Azrar, Lahcen
2019
On patterns and dynamics of rule 22 cellular automaton. Zbl 1452.37014
2019
Statistical complexity of Boolean cellular automata with short-term reaction-diffusion memory on a square lattice. Zbl 1452.37015
2019
Logical universality from a minimal two-dimensional glider gun. Zbl 1456.68103
Gómez Soto, José Manuel; Wuensche, Andrew
2018
Complexity steering in cellular automata. Zbl 1451.68185
Peled, Bar Y.; Carmi, Avishy Y.
2018
Replication of a binary image on a one-dimensional cellular automaton with linear rules. Zbl 1456.68108
Rao, U. Srinivasa; Jeganathan, L.
2018
A relatively small Turing machine whose behavior is independent of set theory. Zbl 1445.03046
2016
A glimpse of the Mandelbulb with memory. Zbl 1361.37048
Alonso-Sanz, Ramón
2016
Interaction strength is key to persistency of complex mutualistic networks. Zbl 1360.92093
Su, Wei; Guo, Lei
2016
On quaternion maps with memory. Zbl 1362.37088
Alonso-Sanz, Rámon
2015
Search of complex binary cellular automata using behavioral metrics. Zbl 1359.68208
López-González, Juan C.; Rueda-Toicen, Antonio
2015
Which types of learning make a simple game complex? Zbl 1411.91119
Hidaka, Shohei; Torii, Takuma; Masumi, Akira
2015
Glider collisions in hybrid cellular automaton rules. Zbl 1405.68200
Chen, Fangyue; Chen, Bo; Guan, Junbiao; Jin, Weifeng
2015
A general $$N$$-person game solver for Pavlovian agents. Zbl 1360.91010
Szilagyi, Miklos N.
2015
Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. Zbl 1357.49069
Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier
2014
Number conservation property of elementary cellular automata under asynchronous update. Zbl 1357.68121
Hazari, Raju; Das, Sukanta
2014
Small-world properties of Facebook group networks. Zbl 1357.91036
Wohlgemuth, Jason; Matache, Mihaela Teodora
2014
Exponential convergence to equilibrium in cellular automata asymptotically emulating identity. Zbl 1357.68118
Fukś, Henryk; Gómez Soto, José Manuel
2014
Decentralized adaptive fault-tolerant control for complex systems with actuator faults. Zbl 1357.93057
Tellili, Adel; Challouf, Amina; Abdelkrim, Mohamed Naceur
2014
Complete characterization of structure of rule 54. Zbl 1357.68124
Martínez, Genaro J.; Adamatzky, Andrew; McIntosh, Harold V.
2014
A max-plus model of asynchronous cellular automata. Zbl 1357.68126
2014
Initial-condition estimation in network synchronization processes: algebraic and graphical processes: algebraic and graphical characterizations of the estimator. Zbl 06212340
Xue, Mengran; Yeung, Enoch; Rai, Anurag; Roy, Sandip; Wan, Yan; Warnick, Sean
2013
Complex networks from simple rules. Zbl 1357.68099
Southwell, Richard; Huang, Jianwei; Cannings, Chris
2013
On the iota-delta function: universality in cellular automata’s representation. Zbl 1286.68342
Ozelim, Luan C. de S. M.; Cavalcante, André L. B.; de F. Borges, Lucas P.
2013
Continuum versus discrete: a physically interpretable general rule for cellular automata by means of modular arithmetic. Zbl 1357.68131
de S. M. Ozelim, Luan C.; Cavalcante, André L. B.; de F. Borges, Lucas P.
2013
Graphic lambda calculus. Zbl 1357.03045
Buliga, Marius
2013
On the iota-delta function: mathematical representation of two-dimensional cellular automata. Zbl 1357.68130
de S. M. Ozelim, Luan C.; Cavalcante, André L. B.
2013
On soliton collisions between localizations in complex elementary cellular automata: rules 54 and 110 and beyond. Zbl 1262.37009
Martínez, Genaro J.; Adamatzky, Andrew; Chen, Fangyue; Chua, Leon
2012
Evolutionary chaos controller synthesis for stabilizing chaotic Hénon maps. Zbl 1252.93063
Senkerik, Roman; Oplatkova, Zuzana; Zelinka, Ivan; Davendra, Donald
2012
Robustness of multi-agent models: the example of collaboration between turmites with synchronous and asynchronous updating. Zbl 1357.68245
Belgacem, Selma; Fatés, Nazim
2012
Evaluating the complexity of mathematical problems. II. Zbl 1203.68056
Calude, Cristian S.; Calude, Elena
2010
Compression-based investigation of the dynamical properties of cellular automata and other systems. Zbl 1217.68145
Zenil, Hector
2010
“Everything is everything” revisited: shapeshifting data types with isomorphisms and hylomorphisms. Zbl 1203.68059
Tarau, Paul
2010
Turing machines with two letters and two states. Zbl 1217.68096
Margenstern, Maurice
2010
Linear time algorithm for identifying the invertibility of null-boundary three neighborhood cellular automata. Zbl 1217.68144
Maiti, Nirmalya S.; Ghosh, Soumyabrata; Munshi, Shiladitya; Pal Chaudhuri, P.
2010
Evaluating the complexity of mathematical problems. I. Zbl 1186.68226
Calude, Cristian S.; Calude, Elena
2009
Complex dynamics emerging in rule 30 with majority memory. Zbl 1192.68442
Martínez, Genaro J.; Adamatzky, Andrew; Alonso-Sanz, Ramon
2009
Elementary cellular automata with minimal memory and random number generation. Zbl 1177.68149
Alonso-Sanz, Ramón; Bull, Larry
2009
An algebraic and graph theoretic framework to study monomial dynamical systems over a finite field. Zbl 1192.37018
2009
Solving the density classification task using cellular automaton 184 with memory. Zbl 1192.68444
Stone, Christopher; Bull, Larry
2009
Regularity versus complexity in the binary representation of $$3^n$$. Zbl 1236.11012
Rowland, Eric S.
2009
Power spectral analysis of elementary cellular automata. Zbl 1169.68531
Ninagawa, Shigeru
2008
Evolutionary search for cellular automata logic gates with collision-based computing. Zbl 1169.68532
Sapin, Emmanuel; Bull, Larry
2008
Planar trinet dynamics with two rewrite rules. Zbl 1167.68405
Bolognesi, Tommaso
2008
Fire feedbacks with vegetation and alternative stable states. Zbl 1162.68481
Beckage, Brian; Ellingwood, Chris
2008
Monomial dynamical systems over finite fields. Zbl 1167.37320
Colón-Reyes, Omar; Jarrah, Abdul Salam; Laubenbacher, Reinhard; Sturmfels, Bernd
2007
Computing in spiral rule reaction-diffusion hexagonal cellular automaton. Zbl 1167.37374
2007
Projectional entropy in higher dimensional shifts of finite type. Zbl 1167.37319
Johnson, Aimee; Kass, Steve; Madden, Kathleen
2007
An NP-complete problem for the Abelian sandpile model. Zbl 1145.82324
Schulz, Matthias
2007
A structurally dynamic cellular automaton with memory in the triangular tessellation. Zbl 1146.68389
Alonso-Sanz, Ramón
2007
Franklin squares: a chapter in the scientific studies of magical squares. Zbl 1143.05302
Loly, Peter D.
2007
Cellular automata with an infinite number of subshift attractors. Zbl 1167.37309
Kůrka, Petr
2007
Research of complexity in cellular automata through evolutionary algorithms. Zbl 1167.68394
Sapin, Emmanuel; Bailleux, Olivier; Chabrier, Jacqueline
2007
Chaotic properties of the elementary cellular automaton Rule 40 in Wolfram’s class I. Zbl 1167.37314
Ohi, Fumio
2007
Simulation of traffic regulation and cognitive development processes: coupling cellular automata with artificial neural nets. Zbl 1144.68331
Stoica-Klüver, Christina; Klüver, Jürgen
2007
An experimental study of robustness to asynchronism for elementary cellular automata. Zbl 1167.37307
Fatès, Nazim A.; Morvan, Michel
2006
Self-organizing traffic lights. Zbl 1167.90428
Gershenson, Carlos
2006
Fractal replication in time-manipulated one-dimensional cellular automata. Zbl 1167.37313
Mitra, Sugata; Kumar, Sujai
2006
Local nested structure in Rule 30. Zbl 1167.68393
Rowland, Eric S.
2006
Dynamics of the cellular automaton Rule 142. Zbl 1167.68390
Fuks, Henryk
2006
One-dimensional cellular automata with memory in cells of the most frequent recent value. Zbl 1167.68385
Alonso-Sanz, Ramón; Martín, Margarita
2005
A note on the game of life in hexagonal and pentagonal tessellations. Zbl 1167.91328
Bays, Carter
2005
Evolution and dynamics of small-world cellular automata. Zbl 1167.68395
Tomassini, Marco; Giacobini, Mario; Darabos, Christian
2005
Classification of different Indian songs based on fractal analysis. Zbl 1167.00302
Das, Atin; Das, Pritha
2005
Repeated sequences in linear genetic programming genomes. Zbl 1167.92332
Langdon, William B.; Banzhaf, Wolfgang
2005
Universality in elementary cellular automata. Zbl 1167.68387
Cook, Matthew
2004
A comparison of several linear genetic programming techniques. Zbl 1167.90695
Oltean, Mihai; Grosan, Crina
2004
Elementary cellular automata with memory. Zbl 1167.68384
Alonso-Sanz, Ramón; Martín, Margarita
2003
Progressive feature extraction with a greedy network-growing algorithm. Zbl 1167.68423
Kamimura, Ryotaro
2003
An investigation of $$N$$-person Prisoners’ Dilemmas. Zbl 1167.91315
Szilagyi, Miklos N.
2003
Sequences of preimages in elementary cellular automata. Zbl 1167.68389
Fuks, Henryk
2003
Gene expression programming: a new adaptive algorithm for solving problems. Zbl 1167.92329
Ferreira, Cândida
2001
Memetic algorithms for the traveling salesman problem. Zbl 1167.90693
Merz, Peter; Freisleben, Bernd
2001
Temporal Boolean network models of genetic networks and their inference from gene expression time series. Zbl 1167.92335
2001
Evolution complexity of the elementary cellular automaton rule 18. Zbl 1167.37308
Jiang, Zhisong; Xie, Huimin
2001
Decomposition of additive cellular automata. Zbl 1167.37316
Sutner, Klaus
2001
Deterministic site exchange cellular automata models for the spread of diseases in human settlements. Zbl 1167.92341
Mansilla, Ricardo; Gutierrez, José L.
2001
Evolving robust asynchronous cellular automata for the density task. Zbl 1167.68396
Tomassini, Marco; Venzi, Mattias
2001
Optimization of the memory weighting function in stochastic functional self-organized sorting performed by a team of autonomous mobile agents. Zbl 1167.92309
2001
Recursive binary sequences of differences. Zbl 1167.43300
Richman, Robert M.
2001
Multiscaling in expansion-modification systems: an explanation for long range correlation in DNA. Zbl 1167.92337
Mansilla, Ricardo; Cocho, Germinal
2000
On the expected performance of systems with complex interactions among components. Zbl 1167.90636
Solow, Daniel; Burnetas, Apostolos; Tsai, Ming-chi; Greenspan, Neil S.
2000
Analyzing the population based incremental learning algorithm by means of discrete dynamical systems. Zbl 1167.90688
González, Cristina; Lozano, Jose A.; Larrañaga, Pedro
2000
Nonuniform cellular automata for cryptography. Zbl 1167.94336
Tomassini, Marco; Perrenoud, Mathieu
2000
Finite population effects for ranking and tournament selection. Zbl 1167.90696
2000
Cyclic evolution of neuronal automata with memory when all the weighting coefficients are strictly positive. Zbl 1167.68430
Ndoundam, René; Matamala, Martín
2000
No polynomial bound for the period of neuronal automata with inhibitory memory. Zbl 1167.68431
Ndoundam, René; Matamala, Martín
2000
Citations and the Zipf-Mandelbrot law. Zbl 0956.68541
1997
Cellular automata in the Cantor, Besicovitch, and Weyl topological spaces. Zbl 0928.68080
Blanchard, François; Formenti, Enrico; Kůrka, Petr
1997
The dynamics of a genetic algorithm on a model hard optimization problem. Zbl 0955.68099
1997
Speedup of iterated quantum search by parallel performance. Zbl 0955.68036
Ozhigov, Yuri
1997
Commuting cellular automata. Zbl 1338.68189
Moore, Cristopher; Boykett, Timothy
1997
Chaotic properties of the $$Q$$-state Potts model on the Bethe lattice: $$Q<2$$. Zbl 0966.82003
Ananikian, N. S.; Dallakian, S. K.; Hu, B.
1997
Some parameters characterizing cellular automata rules. Zbl 0954.68106
Voorhees, Burton
1997
SEARCH, computational processes in evolution, and preliminary development of the gene expression messy genetic algorithm. Zbl 1155.90485
Kargupta, Hillol
1997
Formula processing on physical systems by symmetry. Zbl 0926.68112
Ishida, Yoshiteru
1997
Life without death is P-complete. Zbl 0912.68140
Griffeath, David; Moore, Cristopher
1996
Algebraic properties of the block transformation on cellular automata. Zbl 0893.68109
Moore, Christopher; Drisko, Arthur A.
1996
When can solitons compute? Zbl 0883.68097
Jakubowski, Mariusz H.; Steiglitz, Ken; Squier, Richard K.
1996
...and 194 more Documents
all top 5

Cited by 2,918 Authors

 20 Adamatzky, Andrew I. 17 Formenti, Enrico 14 Goles Chacc, Eric 14 Margara, Luciano 13 Deb, Kalyanmoy 13 Lallemand, Pierre 12 Kari, Jarkko 12 Pečaric, Đilda 12 Pečarić, Josip 11 Crutchfield, James P. 10 Alonso-Sanz, Ramón 10 Dubois, François 10 Goldberg, David Edward 9 Dennunzio, Alberto 9 Gravner, Janko 9 Martínez, Genaro J. 8 Chen, Fangyue 8 Zak, Michail A. 7 Cattaneo, Gianpiero 7 Letellier, Christophe 7 Sutner, Klaus 6 Jin, Weifeng 6 Mantica, Giorgio 6 Mauri, Giancarlo 6 Montealegre, Pedro 6 Morita, Kenichi 6 Park, Kyewon Koh 6 Ravi, S. S. 6 Ruivo, Eurico L. P. 6 Seck Tuoh Mora, Juan Carlos 6 Tekitek, Mohamed Mahdi 6 Theyssier, Guillaume 5 Aguirre, Luis Antonio 5 Baetens, Jan M. 5 Culik, Karel II 5 D’Ariano, Giacomo Mauro 5 De Baets, Bernard 5 de Oliveira, Pedro P. B. 5 Junk, Michael 5 Koehler, Gary J. 5 Krafczyk, Manfred 5 Luo, Lishi 5 Mangiarotti, Sylvain 5 Manzoni, Luca E. 5 Marathe, Madhav V. 5 Margenstern, Maurice 5 Marrero, Isabel 5 Neary, Turlough 5 Perrot, Kévin 5 Rosenkrantz, Daniel J. 5 Sené, Sylvain 5 Stearns, Richard Edwin 5 Tosini, Alessandro 4 Aledo, Juan Ángel 4 Arrighi, Pablo 4 Blanchard, François 4 Boghosian, Bruce M. 4 Degond, Pierre 4 d’Humières, Dominique 4 di Lena, Pietro 4 Durand-Lose, Jérôme O. 4 Durand, Bruno 4 Flocchini, Paola 4 Fox, Rodney O. 4 Ginzburg, Irina 4 Griffeath, David 4 He, Pei 4 Horikawa, Yo 4 Hunt, Harry Bowen III 4 Jen, Erica 4 Jiang, Zhisong 4 Juárez Martínez, Genaro 4 Kim, Yong-Hyuk 4 Latif, Naveed 4 Li, Wentian 4 Maass, Alejandro 4 Manzini, Giovanni 4 Martinez Aguilera, Servet 4 Martinez, Silvia 4 McIntosh, Harold Varner 4 Moore, Cristopher 4 Ollinger, Nicolas 4 Orponen, Pekka 4 Perinotti, Paolo 4 Presutti, Errico 4 Sandberg, Richard D. 4 Seifollahi, Sattar 4 Sipper, Moshe 4 Szwarcfiter, Jayme Luiz 4 Taati, Siamak 4 Toffoli, Tommaso 4 Törmä, Ilkka A. 4 Valverde, Jose C. 4 Vose, Michael D. 4 Wolnik, Barbara 4 Xu, Zongben 4 Yoon, Yourim 4 Yu, Sheng 4 Zenil, Hector 3 Abouhawwash, Mohamed ...and 2,818 more Authors
all top 5

Cited in 350 Journals

 119 Theoretical Computer Science 99 Physica D 52 Journal of Statistical Physics 50 Information Sciences 49 European Journal of Operational Research 43 Journal of Computational Physics 41 Applied Mathematics and Computation 36 Chaos, Solitons and Fractals 30 Computers & Mathematics with Applications 30 Computers & Operations Research 27 Computer Methods in Applied Mechanics and Engineering 24 Neural Networks 23 Natural Computing 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Mathematical Problems in Engineering 18 Computers and Fluids 17 Applied Mathematical Modelling 16 Mathematical and Computer Modelling 16 Journal of Theoretical Biology 15 Discrete Applied Mathematics 14 Biological Cybernetics 14 Soft Computing 13 Journal of Computer and System Sciences 13 Annals of Mathematics and Artificial Intelligence 13 Chaos 12 Artificial Intelligence 12 Information Processing Letters 11 Physica A 11 Annals of Operations Research 11 Advances in Engineering Software 10 Transactions of the American Mathematical Society 9 Journal of Computational and Applied Mathematics 9 Automation and Remote Control 9 Pattern Recognition 9 Nonlinear Dynamics 9 Communications in Nonlinear Science and Numerical Simulation 8 Mathematics and Computers in Simulation 8 Journal of Cellular Automata 7 Communications in Mathematical Physics 7 Automatica 7 Information and Computation 7 Journal of Global Optimization 7 Computational Optimization and Applications 7 International Journal of Modern Physics C 6 Journal of the Franklin Institute 6 Journal of Mathematical Analysis and Applications 6 International Journal of Approximate Reasoning 6 Neural Computation 6 Journal of Heuristics 6 Neural Computing and Applications 6 International Journal of Applied Mathematics and Computer Science 5 International Journal of Theoretical Physics 5 Journal of Optimization Theory and Applications 5 Kybernetes 5 Advances in Applied Mathematics 5 Machine Learning 5 Advances in Computational Mathematics 5 Engineering Computations 5 Discrete and Continuous Dynamical Systems. Series B 5 Quantum Information Processing 5 Journal of Statistical Mechanics: Theory and Experiment 4 Journal of Fluid Mechanics 4 Journal of Mathematical Biology 4 Fuzzy Sets and Systems 4 Journal of Algebra 4 Journal of Statistical Planning and Inference 4 Ergodic Theory and Dynamical Systems 4 International Journal of Intelligent Systems 4 Linear Algebra and its Applications 4 Computational Statistics and Data Analysis 4 SIAM Journal on Scientific Computing 4 Applied Mathematics. Series B (English Edition) 4 Physics of Fluids 4 International Transactions in Operational Research 4 Journal of Inequalities and Applications 4 Wuhan University Journal of Natural Sciences (WUJNS) 4 Discrete Dynamics in Nature and Society 4 Optimization and Engineering 4 Algorithms 3 Israel Journal of Mathematics 3 Physics Letters. A 3 Computing 3 International Journal for Numerical Methods in Engineering 3 Monatshefte für Mathematik 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 Circuits, Systems, and Signal Processing 3 Journal of Economic Dynamics & Control 3 Journal of Theoretical Probability 3 International Journal of Foundations of Computer Science 3 Mathematical Programming. Series A. Series B 3 Cybernetics and Systems Analysis 3 Computational Economics 3 The Electronic Journal of Combinatorics 3 Complexity 3 Engineering Analysis with Boundary Elements 3 Electronic Journal of Probability 3 Computing and Visualization in Science 3 Abstract and Applied Analysis 3 Journal of Systems Science and Complexity ...and 250 more Journals
all top 5

Cited in 54 Fields

 731 Computer science (68-XX) 293 Dynamical systems and ergodic theory (37-XX) 291 Operations research, mathematical programming (90-XX) 175 Biology and other natural sciences (92-XX) 146 Fluid mechanics (76-XX) 123 Statistical mechanics, structure of matter (82-XX) 110 Numerical analysis (65-XX) 88 Statistics (62-XX) 83 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 68 Information and communication theory, circuits (94-XX) 65 Systems theory; control (93-XX) 54 Combinatorics (05-XX) 51 Partial differential equations (35-XX) 51 Probability theory and stochastic processes (60-XX) 45 Mechanics of deformable solids (74-XX) 33 Quantum theory (81-XX) 25 Real functions (26-XX) 23 Measure and integration (28-XX) 22 Number theory (11-XX) 22 Ordinary differential equations (34-XX) 20 Mathematical logic and foundations (03-XX) 17 Approximations and expansions (41-XX) 17 Mechanics of particles and systems (70-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Geophysics (86-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 General topology (54-XX) 8 Difference and functional equations (39-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Group theory and generalizations (20-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Optics, electromagnetic theory (78-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Commutative algebra (13-XX) 4 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)