Edit Profile (opens in new tab) Aguirre, Luis Antonio Compute Distance To: Compute Author ID: aguirre.luis-antonio Published as: Aguirre, Luis A.; Aguirre, Luis Antonio; Aguirre, L. A.; Aguirre, Luis; Aguirre, L. more...less External Links: ORCID Documents Indexed: 75 Publications since 1991 Co-Authors: 54 Co-Authors with 63 Joint Publications 796 Co-Co-Authors all top 5 Co-Authors 12 single-authored 21 Letellier, Christophe 9 Billings, Stephen A. 8 Maquet, Jean 8 Mendes, Eduardo M. A. M. 6 Torres, Leonardo Antônio Borges 4 Montanari, Arthur N. 4 Teixeira, Bruno Otávio Soares 3 Amaral, Gleison F. V. 3 Freitas, Ubiratan S. 3 Martí-Oliet, Narciso 3 Nepomuceno, Erivelton Geraldo 3 Palomino, Miguel 3 Pita, Isabel 3 Portes, Leonardo L. 3 Seibert, Peter 3 Takahashi, Ricardo H. C. 2 Bernstein, Dennis S. 2 Chandrasekar, Jaganath 2 Dutra, Dimas Abreu Archanjo 2 Gomes, Murilo E. D. 2 Le Sceller, Lois 2 Salgado, Gustavo H. O. 2 Souza, Álvaro V. P. 1 Alaoui, Aziz 1 Arredondo, J. Héctor 1 Aziz-Alaoui, Moulay-Ahmed 1 Barbosa, Bruno Henrique Groenner 1 Benda, Rodolfo N. 1 Braga, Antônio P. 1 Chandran, Vinod 1 Coelho, M. C. S. 1 Corrêa, Débora Cristina 1 Corrêa, M. V. 1 De Oliveira, Dair José 1 Delgado, Joaquín F. 1 Denis, Fabrice 1 Elaydi, Saber Nasr 1 Elgar, Steve 1 Freitas, Felipe B. 1 Freitas, Leandro 1 Gouesbet, Gérard 1 Guimarães, Homero N. 1 Hafiz, Faizal 1 Moreira, Ercilio I. 1 Palanthandalam-Madapusi, Harish J. 1 Palhares, Reinaldo M. 1 Ribeiro, Antônio H. 1 Rodrigues, Giovani G. 1 Schön, Thomas B. 1 Small, Michael 1 Tiels, Koen 1 Ugrinowitsch, Herbert 1 Umenberger, Jack 1 Vanhoff, Barry all top 5 Serials 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Chaos 7 Physica D 6 International Journal of Systems Science 5 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Control 4 Automatica 3 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Journal of Physics A: Mathematical and General 2 Journal of Theoretical Biology 1 Electronics Letters 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Automated Reasoning 1 IEEE Transactions on Signal Processing 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Journal of Nonlinear Science 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 TEMA. Tendências em Matemática Aplicada e Computacional 1 IET Control Theory & Applications 1 IEEE Transactions on Circuits and Systems I: Regular Papers all top 5 Fields 39 Systems theory; control (93-XX) 34 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 8 Information and communication theory, circuits (94-XX) 6 Biology and other natural sciences (92-XX) 4 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 419 times in 259 Documents Cited by ▼ Year ▼ Retrieving dynamical invariants from chaotic data using NARMAX models. Zbl 0886.58100Aguirre, Luis Antonio; Billings, S. A. 32 1995 What can be learned from a chaotic cancer model? Zbl 1406.92313Letellier, Christophe; Denis, F.; Aguirre, L. A. 29 2013 Investigating nonlinear dynamics from time series: the influence of symmetries and the choice of observables. Zbl 1080.37600Letellier, Christophe; Aguirre, Luis A. 25 2002 On the non-equivalence of observables in phase-space reconstructions from recorded time series. Zbl 0936.81014Letellier, C.; Maquet, J.; Le Sceller, L.; Gouesbet, G.; Aguirre, L. A. 24 1998 Dynamical effects of overparametrization in nonlinear models. Zbl 0888.58060Aguirre, Luis Antonio; Billings, S. A. 23 1995 Validating identified nonlinear models with chaotic dynamics. Zbl 0876.58028Aguirre, Luis A.; Billings, S. A. 22 1994 Modeling nonlinear dynamics and chaos: a review. Zbl 1180.37003Aguirre, Luis A.; Letellier, Christophe 22 2009 Should all the species of a food chain be counted to investigate the global dynamics? Zbl 1004.92039Letellier, Christophe; Aguirre, Luis A.; Maquet, Jean; Aziz-Alaoui, M. A. 19 2002 Improved structure selection for nonlinear models based on term clustering. Zbl 0837.93009Aguirre, Luis A.; Billings, S. A. 18 1995 Effects of the sampling time on the dynamics and identification of nonlinear models. Zbl 0925.93581Billings, S. A.; Aguirre, Luis Antonio 13 1995 Structure-selection techniques applied to continuous-time nonlinear models. Zbl 1098.34508Aguirre, Luis A.; Freitas, Ubiratan S.; Letellier, Christophe; Maquet, Jean 12 2001 Observability of multivariate differential embeddings. Zbl 1330.37078Aguirre, Luis Antonio; Letellier, Christophe 12 2005 Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz 11 2004 Nonlinear identification and cluster analysis of chaotic attractors from a real implementation of Chua’s circuit. Zbl 0965.93036Aguirre, Luis A.; Rodrigues, Giovani G.; Mendes, Eduardo M. A. M. 10 1997 Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering. Zbl 0888.93015Aguirre, Luis Antonio; Billings, S. A. 9 1995 Global nonlinear polynomial models: Structure, term clusters and fixed points. Zbl 0870.58091Aguirre, Luis Antonio; Mendes, Eduardo M. A. M. 9 1996 Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems. Zbl 1145.92036Maquet, J.; Letellier, C.; Aguirre, Luis A. 8 2007 Nonlinear identification using prior knowledge of fixed points: a multiobjective approach. Zbl 1056.37091Nepomuceno, Erivelton G.; Takahashi, Ricardo H. C.; Amaral, Gleison F. V.; Aguirre, Luis A. 7 2003 Dynamical analysis of fractional-order Rössler and modified Lorenz systems. Zbl 1294.37014Letellier, Christophe; Aguirre, Luis A. 7 2013 State estimation for linear and nonlinear equality-constrained systems. Zbl 1165.93033Teixeira, Bruno O. S.; Chandrasekar, Jaganath; Tôrres, Leonardo A. B.; Aguirre, Luis A.; Bernstein, Dennis S. 7 2009 Gain-constrained Kalman filtering for linear and nonlinear systems. Zbl 1390.94437Teixeira, Bruno Otávio Soares; Chandrasekar, Jaganath; Palanthandalam-Madapusi, Harish J.; Tôrres, Leonardo Antônio Borges; Aguirre, Luis Antonio; Bernstein, Dennis S. 7 2008 Transmitting information by controlling nonlinear oscillators. Zbl 1069.34057Tôrres, Leonardo A. B.; Aguirre, Luis A. 6 2004 Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models. Zbl 1159.37364Letellier, Christophe; Amaral, Gleison F. V.; Aguirre, Luis A. 6 2007 How the choice of the observable may influence the analysis of nonlinear dynamical systems. Zbl 1099.37521Letellier, Christophe; Aguirre, Luis; Maquet, Jean 6 2006 Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition. Zbl 07263954Mendes, Eduardo M. A. M.; Salgado, Gustavo H. O.; Aguirre, Luis A. 6 2019 Discrete reconstruction of strange attractors of Chua’s circuit. Zbl 0900.70335Aguirre, Luis A.; Billings, S. A. 5 1994 Some remarks on structure selection for nonlinear models. Zbl 0875.93030Aguirre, Luis Antonio 5 1994 On the structure of nonlinear polynomial models: High order correlation functions, spectra, and term clusters. Zbl 0883.93057Aguirre, Luis Antonio 5 1997 Piecewise affine models of chaotic attractors: The Rössler and Lorenz systems. Zbl 1144.37311Amaral, Gleison F. V.; Letellier, Christophe; Aguirre, Luis Antonio 5 2006 Maximum a posteriori state path estimation: discretization limits and their interpretation. Zbl 1296.93204Dutra, Dimas Abreu; Teixeira, Bruno Otávio Soares; Aguirre, Luis Antonio 4 2014 Investigation of determinism in heart rate variability. Zbl 0990.92006Gomes, M. E. D.; Souza, A. V. P.; Guimarães, H. N.; Aguirre, L. A. 3 2000 Multiobjective nonlinear system identification: A case study with thyristor controlled series capacitor (TCSC). Zbl 1061.93530Nepomuceno, Erivelton G.; Takahashi, Ricardo H. C.; Aguirre, Luis A.; Neto, O. M.; Mendes, Eduardo M. A. M. 3 2004 Impact of the recorded variable on recurrence quantification analysis of flows. Zbl 1303.37034Portes, Leonardo L.; Benda, Rodolfo N.; Ugrinowitsch, Herbert; Aguirre, Luis A. 3 2014 The least squares Padé method for model reduction. Zbl 0755.93013Aguirre, Luis Antonio 3 1992 Observability and synchronization of neuron models. Zbl 1390.93164Aguirre, Luis A.; Portes, Leonardo L.; Letellier, Christophe 3 2017 Controllability and synchronizability: are they related? Zbl 1355.93041Aguirre, Luis A.; Letellier, Christophe 2 2016 Conditional narrowing modulo in rewriting logic and Maude. Zbl 1367.68123Aguirre, Luis; Martí-Oliet, Narciso; Palomino, Miguel; Pita, Isabel 2 2014 An algorithm for estimating fixed points of dynamical systems from time series. Zbl 0985.37094Aguirre, Luis A.; Souza, Álvaro V. P. 2 1998 Closed-loop suppression of chaos in nonlinear driven oscillators. Zbl 0825.93306Aguirre, L. A.; Billings, S. A. 2 1995 Smoothing data with local instabilities for the identification of chaotic systems. Zbl 0847.93025Aguirre, Luis A.; Mendes, Eduardo M.; Billings, S. A. 2 1996 New algorithm for closed-loop model matching. Zbl 0759.93018Aguirre, L. A. 2 1991 Types of change of stability and corresponding types of bifurcations. Zbl 0986.37042Aguirre, L.; Seibert, P. 2 1999 Control of nonlinear dynamics: where do models fit in? Zbl 1090.93503Aguirre, Luis A.; Tôrres, Leonardo A. B. 2 2000 The use of synthetic input sequences in time series modeling. Zbl 1223.60026De Oliveira, Dair José; Letellier, Christophe; Gomes, Murilo E. D.; Aguirre, Luis A. 2 2008 On the smoothness of nonlinear system identification. Zbl 1448.93064Ribeiro, Antônio H.; Tiels, Koen; Umenberger, Jack; Schön, Thomas B.; Aguirre, Luis A. 2 2020 Analogy between a 10D model for nonlinear wave-wave interaction in a plasma and the 3D Lorenz dynamics. Zbl 1097.82560Letellier, C.; Aguirre, L. A.; Maquet, J.; Lefebvre, B. 1 2003 The reliability of recurrence network analysis is influenced by the observability properties of the recorded time series. Zbl 1420.37112Portes, Leonardo L.; Montanari, Arthur N.; Correa, Debora C.; Small, Michael; Aguirre, Luis A. 1 2019 Joint maximum a posteriori state path and parameter estimation in stochastic differential equations. Zbl 1372.93192Dutra, Dimas Abreu Archanjo; Teixeira, Bruno Otávio Soares; Aguirre, Luis Antonio 1 2017 Black and grey-box modeling of nonlinear systems: Identification and analysis from time series. Zbl 0939.93501Aguirre, Luis Antonio 1 2000 Recovering map static nonlinearities from chaotic data using dynamical models. Zbl 0888.93004Aguirre, Luis Antonio 1 1997 Reduction theorems for uniform stability of systems in general spaces. Zbl 0891.34058Seibert, Peter; Arredondo, J. Héctor; Delgado, Joaquín; Aguirre, Luis 1 1997 On certain generalizations of the Hopf bifurcation. Zbl 1223.34101Aguirre, L.; Arredondo, J. H.; López, R.; Seibert, P. 1 2007 Sentence-normalized conditional narrowing modulo in rewriting logic and Maude. Zbl 1398.68267Aguirre, Luis; Martí-Oliet, Narciso; Palomino, Miguel; Pita, Isabel 1 2018 Phase synchronization analysis of bridge oscillators between clustered networks. Zbl 1430.34047Montanari, Arthur N.; Freitas, Leandro; Torres, Leonardo A. B.; Aguirre, Luis A. 1 2019 Piecewise affine identification of a hydraulic pumping system using evolutionary computation. Zbl 1432.93360Barbosa, Bruno H. G.; Aguirre, Luis A.; Braga, Antonio P. 1 2019 On the smoothness of nonlinear system identification. Zbl 1448.93064Ribeiro, Antônio H.; Tiels, Koen; Umenberger, Jack; Schön, Thomas B.; Aguirre, Luis A. 2 2020 Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition. Zbl 07263954Mendes, Eduardo M. A. M.; Salgado, Gustavo H. O.; Aguirre, Luis A. 6 2019 The reliability of recurrence network analysis is influenced by the observability properties of the recorded time series. Zbl 1420.37112Portes, Leonardo L.; Montanari, Arthur N.; Correa, Debora C.; Small, Michael; Aguirre, Luis A. 1 2019 Phase synchronization analysis of bridge oscillators between clustered networks. Zbl 1430.34047Montanari, Arthur N.; Freitas, Leandro; Torres, Leonardo A. B.; Aguirre, Luis A. 1 2019 Piecewise affine identification of a hydraulic pumping system using evolutionary computation. Zbl 1432.93360Barbosa, Bruno H. G.; Aguirre, Luis A.; Braga, Antonio P. 1 2019 Sentence-normalized conditional narrowing modulo in rewriting logic and Maude. Zbl 1398.68267Aguirre, Luis; Martí-Oliet, Narciso; Palomino, Miguel; Pita, Isabel 1 2018 Observability and synchronization of neuron models. Zbl 1390.93164Aguirre, Luis A.; Portes, Leonardo L.; Letellier, Christophe 3 2017 Joint maximum a posteriori state path and parameter estimation in stochastic differential equations. Zbl 1372.93192Dutra, Dimas Abreu Archanjo; Teixeira, Bruno Otávio Soares; Aguirre, Luis Antonio 1 2017 Controllability and synchronizability: are they related? Zbl 1355.93041Aguirre, Luis A.; Letellier, Christophe 2 2016 Maximum a posteriori state path estimation: discretization limits and their interpretation. Zbl 1296.93204Dutra, Dimas Abreu; Teixeira, Bruno Otávio Soares; Aguirre, Luis Antonio 4 2014 Impact of the recorded variable on recurrence quantification analysis of flows. Zbl 1303.37034Portes, Leonardo L.; Benda, Rodolfo N.; Ugrinowitsch, Herbert; Aguirre, Luis A. 3 2014 Conditional narrowing modulo in rewriting logic and Maude. Zbl 1367.68123Aguirre, Luis; Martí-Oliet, Narciso; Palomino, Miguel; Pita, Isabel 2 2014 What can be learned from a chaotic cancer model? Zbl 1406.92313Letellier, Christophe; Denis, F.; Aguirre, L. A. 29 2013 Dynamical analysis of fractional-order Rössler and modified Lorenz systems. Zbl 1294.37014Letellier, Christophe; Aguirre, Luis A. 7 2013 Modeling nonlinear dynamics and chaos: a review. Zbl 1180.37003Aguirre, Luis A.; Letellier, Christophe 22 2009 State estimation for linear and nonlinear equality-constrained systems. Zbl 1165.93033Teixeira, Bruno O. S.; Chandrasekar, Jaganath; Tôrres, Leonardo A. B.; Aguirre, Luis A.; Bernstein, Dennis S. 7 2009 Gain-constrained Kalman filtering for linear and nonlinear systems. Zbl 1390.94437Teixeira, Bruno Otávio Soares; Chandrasekar, Jaganath; Palanthandalam-Madapusi, Harish J.; Tôrres, Leonardo Antônio Borges; Aguirre, Luis Antonio; Bernstein, Dennis S. 7 2008 The use of synthetic input sequences in time series modeling. Zbl 1223.60026De Oliveira, Dair José; Letellier, Christophe; Gomes, Murilo E. D.; Aguirre, Luis A. 2 2008 Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems. Zbl 1145.92036Maquet, J.; Letellier, C.; Aguirre, Luis A. 8 2007 Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models. Zbl 1159.37364Letellier, Christophe; Amaral, Gleison F. V.; Aguirre, Luis A. 6 2007 On certain generalizations of the Hopf bifurcation. Zbl 1223.34101Aguirre, L.; Arredondo, J. H.; López, R.; Seibert, P. 1 2007 How the choice of the observable may influence the analysis of nonlinear dynamical systems. Zbl 1099.37521Letellier, Christophe; Aguirre, Luis; Maquet, Jean 6 2006 Piecewise affine models of chaotic attractors: The Rössler and Lorenz systems. Zbl 1144.37311Amaral, Gleison F. V.; Letellier, Christophe; Aguirre, Luis Antonio 5 2006 Observability of multivariate differential embeddings. Zbl 1330.37078Aguirre, Luis Antonio; Letellier, Christophe 12 2005 Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz 11 2004 Transmitting information by controlling nonlinear oscillators. Zbl 1069.34057Tôrres, Leonardo A. B.; Aguirre, Luis A. 6 2004 Multiobjective nonlinear system identification: A case study with thyristor controlled series capacitor (TCSC). Zbl 1061.93530Nepomuceno, Erivelton G.; Takahashi, Ricardo H. C.; Aguirre, Luis A.; Neto, O. M.; Mendes, Eduardo M. A. M. 3 2004 Nonlinear identification using prior knowledge of fixed points: a multiobjective approach. Zbl 1056.37091Nepomuceno, Erivelton G.; Takahashi, Ricardo H. C.; Amaral, Gleison F. V.; Aguirre, Luis A. 7 2003 Analogy between a 10D model for nonlinear wave-wave interaction in a plasma and the 3D Lorenz dynamics. Zbl 1097.82560Letellier, C.; Aguirre, L. A.; Maquet, J.; Lefebvre, B. 1 2003 Investigating nonlinear dynamics from time series: the influence of symmetries and the choice of observables. Zbl 1080.37600Letellier, Christophe; Aguirre, Luis A. 25 2002 Should all the species of a food chain be counted to investigate the global dynamics? Zbl 1004.92039Letellier, Christophe; Aguirre, Luis A.; Maquet, Jean; Aziz-Alaoui, M. A. 19 2002 Structure-selection techniques applied to continuous-time nonlinear models. Zbl 1098.34508Aguirre, Luis A.; Freitas, Ubiratan S.; Letellier, Christophe; Maquet, Jean 12 2001 Investigation of determinism in heart rate variability. Zbl 0990.92006Gomes, M. E. D.; Souza, A. V. P.; Guimarães, H. N.; Aguirre, L. A. 3 2000 Control of nonlinear dynamics: where do models fit in? Zbl 1090.93503Aguirre, Luis A.; Tôrres, Leonardo A. B. 2 2000 Black and grey-box modeling of nonlinear systems: Identification and analysis from time series. Zbl 0939.93501Aguirre, Luis Antonio 1 2000 Types of change of stability and corresponding types of bifurcations. Zbl 0986.37042Aguirre, L.; Seibert, P. 2 1999 On the non-equivalence of observables in phase-space reconstructions from recorded time series. Zbl 0936.81014Letellier, C.; Maquet, J.; Le Sceller, L.; Gouesbet, G.; Aguirre, L. A. 24 1998 An algorithm for estimating fixed points of dynamical systems from time series. Zbl 0985.37094Aguirre, Luis A.; Souza, Álvaro V. P. 2 1998 Nonlinear identification and cluster analysis of chaotic attractors from a real implementation of Chua’s circuit. Zbl 0965.93036Aguirre, Luis A.; Rodrigues, Giovani G.; Mendes, Eduardo M. A. M. 10 1997 On the structure of nonlinear polynomial models: High order correlation functions, spectra, and term clusters. Zbl 0883.93057Aguirre, Luis Antonio 5 1997 Recovering map static nonlinearities from chaotic data using dynamical models. Zbl 0888.93004Aguirre, Luis Antonio 1 1997 Reduction theorems for uniform stability of systems in general spaces. Zbl 0891.34058Seibert, Peter; Arredondo, J. Héctor; Delgado, Joaquín; Aguirre, Luis 1 1997 Global nonlinear polynomial models: Structure, term clusters and fixed points. Zbl 0870.58091Aguirre, Luis Antonio; Mendes, Eduardo M. A. M. 9 1996 Smoothing data with local instabilities for the identification of chaotic systems. Zbl 0847.93025Aguirre, Luis A.; Mendes, Eduardo M.; Billings, S. A. 2 1996 Retrieving dynamical invariants from chaotic data using NARMAX models. Zbl 0886.58100Aguirre, Luis Antonio; Billings, S. A. 32 1995 Dynamical effects of overparametrization in nonlinear models. Zbl 0888.58060Aguirre, Luis Antonio; Billings, S. A. 23 1995 Improved structure selection for nonlinear models based on term clustering. Zbl 0837.93009Aguirre, Luis A.; Billings, S. A. 18 1995 Effects of the sampling time on the dynamics and identification of nonlinear models. Zbl 0925.93581Billings, S. A.; Aguirre, Luis Antonio 13 1995 Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering. Zbl 0888.93015Aguirre, Luis Antonio; Billings, S. A. 9 1995 Closed-loop suppression of chaos in nonlinear driven oscillators. Zbl 0825.93306Aguirre, L. A.; Billings, S. A. 2 1995 Validating identified nonlinear models with chaotic dynamics. Zbl 0876.58028Aguirre, Luis A.; Billings, S. A. 22 1994 Discrete reconstruction of strange attractors of Chua’s circuit. Zbl 0900.70335Aguirre, Luis A.; Billings, S. A. 5 1994 Some remarks on structure selection for nonlinear models. Zbl 0875.93030Aguirre, Luis Antonio 5 1994 The least squares Padé method for model reduction. Zbl 0755.93013Aguirre, Luis Antonio 3 1992 New algorithm for closed-loop model matching. Zbl 0759.93018Aguirre, L. A. 2 1991 all cited Publications top 5 cited Publications all top 5 Cited by 519 Authors 44 Aguirre, Luis Antonio 28 Letellier, Christophe 21 Billings, Stephen A. 10 Mendes, Eduardo M. A. M. 8 Mangiarotti, Sylvain 7 Nepomuceno, Erivelton Geraldo 6 Maquet, Jean 6 Piroddi, Luigi 6 Wei, Hualiang 5 Aziz-Alaoui, Moulay-Ahmed 5 Torres, Leonardo Antônio Borges 4 Chen, Guanrong 4 Coca, Daniel 4 Lainscsek, Claudia S. M. 3 Amaral, Gleison F. V. 3 Das, Parthasakha 3 Das, Pritha 3 Denis, Fabrice 3 Duarte, Jorge A. 3 Guo, Lingzhong 3 Huc, Mireille 3 Januário, Cristina 3 Li, Jianquan 3 Longden, Ashley 3 Martins, Samir A. M. 3 Sejnowski, Terrence J. 3 Small, Michael 3 Takahashi, Ricardo H. C. 3 Teixeira, Bruno Otávio Soares 3 Zhang, Dian 3 Zhang, Lifeng 3 Zhu, Quanmin 2 Abichou, Azgal 2 Abid, Walid 2 Alipouri, Yagub 2 Artana, Guillermo 2 Atangana, Jacques 2 Bouhafa, Habib 2 Caselles, Antonio 2 Charó, Gisela D. 2 Chen, Yuming 2 Dutra, Dimas Abreu Archanjo 2 Elaydi, Saber Nasr 2 Falsone, Alessandro 2 Farina, Marcello 2 Freitas, Ubiratan S. 2 Gninzanlong, Carlos Lawrence 2 He, Shaobo 2 Hendy, Ahmed S. 2 Jafari, Sajad 2 Kemwoue, Florent Feudjio 2 Kumar Upadhyay, Ranjit 2 Kurths, Jürgen 2 Lacerda, Marcio jun. 2 Martí-Oliet, Narciso 2 Micó, Joan C. 2 Montanari, Arthur N. 2 Mostafaei, Hossein 2 Mukherjee, Sayan 2 Nie, Xiaokai 2 Palhares, Reinaldo M. 2 Palomino, Miguel 2 Parlitz, Ulrich 2 Patidar, Kailash C. 2 Pham, Viet-Thanh 2 Pita, Isabel 2 Porfiri, Maurizio 2 Porporato, Amilcare 2 Portes, Leonardo L. 2 Prandini, Maria 2 Ridolfi, Luca 2 Rinaldi, Sergio 2 Rodrigues, Carla 2 Sanz, María T. 2 Sardanyés, Josep 2 Sciamarella, Denisse 2 Shelud’ko, Anton Sergeevich 2 Soler, David 2 Souza, Álvaro V. P. 2 Sun, Kehui 2 Tykierko, Mateusz 2 Viger, Louise 2 Vogl, Markus 2 Wang, Huihai 2 Xie, Xin 2 Xu, Daolin 2 Yafia, Radouane 2 Zaky, Mahmoud A. 2 Zhang, Guohong 2 Zhang, Long 2 Zhang, Xu 1 Abbaszadeh, Mostafa 1 Abernethy, Sam 1 Aboites, Vicente 1 Achour, L. 1 Ackleh, Azmy S. 1 Aihara, Kazuyuki 1 Al-Bender, Farid 1 Al-Mekhlafi, Seham Mahyoub 1 Alaoui, Aziz ...and 419 more Authors all top 5 Cited in 73 Serials 40 Chaos 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Chaos, Solitons and Fractals 14 Physica D 13 International Journal of Systems Science 11 Automatica 10 International Journal of Control 9 Mathematical Problems in Engineering 9 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Theoretical Biology 6 Applied Mathematics and Computation 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Physica A 3 Journal of Computational and Applied Mathematics 3 Nonlinear Dynamics 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 2 Computers & Mathematics with Applications 2 Bulletin of Mathematical Biology 2 Circuits, Systems, and Signal Processing 2 Journal of Automated Reasoning 2 Applied Mathematics Letters 2 Neural Computation 2 Physics of Fluids 2 Computational and Applied Mathematics 2 Turkish Journal of Mathematics 2 Journal of Difference Equations and Applications 2 European Journal of Control 2 International Journal of Biomathematics 2 International Journal of Applied and Computational Mathematics 1 Biological Cybernetics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Physics Reports 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Information Sciences 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Theoretical Population Biology 1 Applied Numerical Mathematics 1 Neural Networks 1 International Journal of Adaptive Control and Signal Processing 1 Numerical Algorithms 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Journal of the Egyptian Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Mathematical Methods of Operations Research 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 CEJOR. Central European Journal of Operations Research 1 Differential Equations 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Inverse Problems in Science and Engineering 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Sankhyā. Series B 1 Asian Journal of Control 1 Journal of Applied Nonlinear Dynamics 1 Journal of Computational and Engineering Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 28 Fields 104 Dynamical systems and ergodic theory (37-XX) 91 Systems theory; control (93-XX) 69 Biology and other natural sciences (92-XX) 66 Ordinary differential equations (34-XX) 24 Numerical analysis (65-XX) 18 Statistics (62-XX) 13 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 7 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of particles and systems (70-XX) 7 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Fluid mechanics (76-XX) 3 Mathematical logic and foundations (03-XX) 3 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Citations by Year