Edit Profile (opens in new tab) Sprott, Julien Clinton Co-Author Distance Author ID: sprott.julien-clinton Published as: Sprott, J. C.; Sprott, Julien Clinton; Sprott, Julien C.; Clinton Sprott, Julien more...less Homepage: http://sprott.physics.wisc.edu/sprott.htm External Links: ORCID · dblp · GND Documents Indexed: 141 Publications since 1987, including 10 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 109 Co-Authors with 124 Joint Publications 2,605 Co-Co-Authors all top 5 Co-Authors 17 single-authored 24 Jafari, Sajad 24 Li, Chunbiao 21 Elhadj, Zeraoulia 9 Nazarimehr, Fahimeh 6 Hoover, William Graham 5 Albers, David J. 5 Thio, Wesley Joo-Chen 4 Chlouverakis, Konstantinos E. 4 Hoover, Carol Griswold 4 Pham, Viet-Thanh 4 Wei, Zhouchao 3 Chen, Diyi 3 Ma, Xiaoyi 3 Moroz, Irene M. 3 Munmuangsaen, Buncha 3 Sun, Kehui 3 Wildenberg, J. C. 2 Akgul, Akif 2 Anderson, M. B. 2 Chen, Guanrong 2 Dechert, W. Davis 2 Djellit, Ilhem 2 Faghani, Zahra 2 Golpayegani, S. Mohammad Reza Hashemi 2 Hashemi Golpayegani, Seyed Mohammad Reza 2 Kapitaniak, Tomasz 2 Liu, Yongjian 2 Lu, Tianai 2 Marshall, Delmar 2 Maus, Arne 2 Molaie, Malihe 2 Noel, J. K. 2 Panahi, Shirin 2 Patra, Puneet Kumar 2 Sun, Jiayu 2 Vano, John A. 2 Wang, Xiong 2 Wang, Zhen 2 Xing, Hongyan 2 Xiong, Anda 2 Zhang, Runfan 2 Zhang, Wei 1 Ahmad, Wajdi M. 1 Aks, Deborah J. 1 Aram, Zainab 1 Azizi, Yousef 1 Baghdadi, Golnaz 1 Bai, Er-Wai 1 Barati, Kosar 1 Bolliger, Janine 1 Brummitt, Charles D. 1 Buscarino, Arturo 1 Chapman, Robin J. 1 Chen, Haitao 1 Chen, Huai 1 Dehghan, Soroush 1 Ferchichi, Mohamed Réda 1 Fortuna, Luigi 1 Frasca, Mattia 1 Gambuzza, Lucia Valentina 1 Ghasem Damghani, Hossein 1 Ghosh, Dibakar 1 Gotthans, Tomas 1 Gottlieb, H. P. W. 1 Gu, Zhenyu 1 Hashemi Golpayegani, Mohammad Reza 1 Hosseini, Zahra Sadat 1 Hu, Wen 1 Iu, Herbert Ho Ching 1 Jafari, Amir Homayoun 1 Kafraj, Mohadeseh Shafiei 1 Kiers, Ken 1 Kilani, Brahim 1 Klein, Tim 1 Kolb, Jeff 1 Lao, Seng-Kin 1 Lei, Tengfei 1 Li, Hongtao 1 Linz, Stefan J. 1 Liu, Jian 1 Liu, Shutang 1 Liu, Zuohua 1 Lonngren, Karl E. 1 Lyu, Jingxuan 1 Ma, Jun 1 Mehrabbeik, Mahtab 1 Minati, Ludovico 1 Mladenoff, David J. 1 Navid Moghadam, Nastaran 1 Peng, Yuxuan 1 Perc, Matjaž 1 Petržela, Jiří 1 Pickover, Clifford A. 1 Price, Steve 1 Rajagopal, Karthikeyan 1 Repnik, Robert 1 Saedi, Batool 1 Sarff, J. S. 1 Shekofteh, Yasser 1 Srisuchinwong, Banlue ...and 10 more Co-Authors all top 5 Serials 50 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Physics Letters. A 10 Chaos, Solitons and Fractals 9 Chaos 5 Nonlinear Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 3 Physica D 3 Palestine Journal of Mathematics 2 Nonlinearity 2 EJTP. Electronic Journal of Theoretical Physics 2 World Scientific Series on Nonlinear Science. Series A 2 Nonlinear Oscillations 1 Journal of Statistical Physics 1 Physica A 1 Physics of Fluids 1 Applied Mathematics and Computation 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Economic Dynamics & Control 1 Nonlinear Studies 1 Qualitative Theory of Dynamical Systems 1 Journal of Systems Science and Complexity 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 Advanced Series in Nonlinear Dynamics 1 World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings 1 International Journal of Dynamical Systems and Differential Equations 1 International Journal of Nonlinear Science 1 Nonlinear Dynamics, Psychology, and Life Sciences 1 Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications all top 5 Fields 101 Dynamical systems and ergodic theory (37-XX) 85 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Partial differential equations (35-XX) 5 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 2,824 times in 1,444 Documents Cited by ▼ Year ▼ Chaos and time-series analysis. Zbl 1012.37001 Sprott, Julien Clinton 198 2003 Simple chaotic flows with a line equilibrium. Zbl 1355.37056 Jafari, Sajad; Sprott, J. C. 177 2013 Elegant chaos. Algebraically simple chaotic flows. Dedicated to the memory of Edward Norton Lorenz. Zbl 1222.37005 Sprott, Julien Clinton 158 2010 Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019 Ahmad, Wajdi M.; Sprott, J. C. 146 2003 Elementary quadratic chaotic flows with no equilibria. Zbl 1428.34059 Jafari, Sajad; Sprott, J. C.; Hashemi Golpayegani, S. Mohammad Reza 125 2013 Simple chaotic flows with one stable equilibrium. Zbl 1284.34064 Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi 124 2013 Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111 Li, Chunbiao; Sprott, J. C. 98 2014 Simplest dissipative chaotic flow. Zbl 1043.37504 Sprott, J. C. 72 1997 Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015 Li, Chunbiao; Sprott, Julien Clinton 67 2014 Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026 Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie 54 2017 Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159 Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei 50 2017 A simple chaotic flow with a plane of equilibria. Zbl 1343.34037 Jafari, Sajad; Sprott, J. C.; Molaie, Malihe 50 2016 Constructing chaotic systems with total amplitude control. Zbl 1326.34101 Li, Chunbiao; Sprott, Julien Clinton; Yuan, Zeshi; Li, Hongtao 43 2015 An infinite 3-D quasiperiodic lattice of chaotic attractors. Zbl 1383.35031 Li, Chunbiao; Sprott, Julien Clinton 43 2018 Constructing chaotic systems with conditional symmetry. Zbl 1372.37069 Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan 40 2017 Bifurcations and chaos in fractional-order simplified Lorenz system. Zbl 1193.34005 Sun, Kehui; Wang, Xia; Sprott, J. C. 40 2010 Chaotic hyperjerk systems. Zbl 1106.37024 Chlouverakis, Konstantinos E.; Sprott, J. C. 38 2006 Chaotic flows with a single nonquadratic term. Zbl 1396.35002 Li, Chunbiao; Sprott, J. C. 35 2014 A simple chaotic delay differential equation. Zbl 1203.37064 Sprott, J. C. 35 2007 Chaos in low-dimensional Lotka-Volterra models of competition. Zbl 1107.92058 Vano, J. A.; Wildenberg, J. C.; Anderson, M. B.; Noel, J. K.; Sprott, J. C. 34 2006 Simple chaotic flows with a curve of equilibria. Zbl 1352.34015 Barati, Kosar; Jafari, Sajad; Sprott, Julien Clinton; Pham, Viet-Thanh 34 2016 Cost function based on Gaussian mixture model for parameter estimation of a chaotic circuit with a hidden attractor. Zbl 1284.34022 Lao, Seng-Kin; Shekofteh, Yasser; Jafari, Sajad; Sprott, Julien Clinton 34 2014 Application of Takagi-sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization. Zbl 1281.34085 Chen, Diyi; Zhao, Weili; Sprott, Julien Clinton; Ma, Xiaoyi 33 2013 Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control. Zbl 1268.93092 Chen, Diyi; Zhang, Runfan; Sprott, Julien Clinton; Ma, Xiaoyi 33 2012 A dynamical system with a strange attractor and invariant tori. Zbl 1323.37022 Sprott, J. C. 32 2014 On the synchronization of a class of electronic circuits that exhibit chaos. Zbl 1005.34041 Bai, Er-Wai; Lonngren, Karl E.; Sprott, J. C. 32 2002 Elementary chaotic flow. Zbl 0935.37008 Linz, Stefan J.; Sprott, J. C. 29 1999 Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium. Zbl 1349.34226 Wei, Zhouchao; Sprott, J. C.; Chen, Huai 29 2015 Simplest chaotic flows with involutional symmetries. Zbl 1284.34066 Sprott, J. C. 29 2014 Linearization of the Lorenz system. Zbl 1342.34062 Li, Chunbiao; Sprott, Julien Clinton; Thio, Wesley 28 2015 Multistability in a butterfly flow. Zbl 1284.34060 Li, Chunbiao; Sprott, J. C. 28 2013 Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control. Zbl 1331.34129 Chen, Diyi; Zhang, Runfan; Sprott, J. C.; Chen, Haitao; Ma, Xiaoyi 27 2012 Detecting hidden chaotic regions and complex dynamics in the self-exciting homopolar disc dynamo. Zbl 1362.34082 Wei, Zhouchao; Moroz, Irene; Sprott, Julien Clinton; Wang, Zhen; Zhang, Wei 27 2017 A chaotic system with a single unstable node. Zbl 1364.37084 Sprott, J. C.; Jafari, Sajad; Pham, Viet-Thanh; Hosseini, Zahra Sadat 27 2015 Classifying and quantifying basins of attraction. Zbl 1374.37026 Sprott, J. C.; Xiong, Anda 26 2015 Simple chaotic flow with circle and square equilibrium. Zbl 1345.34016 Gotthans, Tomas; Sprott, Julien Clinton; Petrzela, Jiri 26 2016 Amplitude control approach for chaotic signals. Zbl 1281.34070 Li, Chunbiao; Sprott, J. C. 25 2013 Generalization of the simplest autonomous chaotic system. Zbl 1242.34076 Munmuangsaen, Buncha; Srisuchinwong, Banlue; Sprott, J. C. 21 2011 Offset boosting for breeding conditional symmetry. Zbl 1415.37029 Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian; Gu, Zhenyu; Zhang, Jingwei 21 2018 A new chaotic oscillator with free control. Zbl 1390.34196 Li, Chunbiao; Clinton Sprott, Julien; Akgul, Akif; Iu, Herbert H. C.; Zhao, Yibo 20 2017 A comparison of correlation and Lyapunov dimensions. Zbl 1063.37023 Chlouverakis, Konstantinos E.; Sprott, J. C. 19 2005 A new cost function for parameter estimation of chaotic systems using return maps as fingerprints. Zbl 1302.34027 Jafari, Sajad; Sprott, Julien C.; Pham, Viet-Thanh; Golpayegani, S. Mohammad Reza Hashemi; Jafari, Amir Homayoun 19 2014 Are perpetual points sufficient for locating hidden attractors? Zbl 1360.34122 Nazarimehr, Fahimeh; Saedi, Batool; Jafari, Sajad; Sprott, J. C. 19 2017 Improved correlation dimension calculation. Zbl 1090.37561 Sprott, J. C.; Rowlands, G. 18 2001 Dynamics at infinity, degenerate Hopf and zero-Hopf bifurcation for Kingni-Jafari system with hidden attractors. Zbl 1343.34040 Wei, Zhouchao; Moroz, Irene; Wang, Zhen; Sprott, Julien Clinton; Kapitaniak, Tomasz 18 2016 Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters. Zbl 1349.93221 Liu, Jian; Liu, Shutang; Sprott, Julien Clinton 17 2016 Infinite lattice of hyperchaotic strange attractors. Zbl 1390.34115 Li, Chunbiao; Sprott, Julien Clinton; Kapitaniak, Tomasz; Lu, Tianai 17 2018 Competition with evolution in ecology and finance. Zbl 1161.91405 Sprott, J. C. 16 2004 Labyrinth chaos. Zbl 1141.37330 Sprott, J. C.; Chlouverakis, Konstantinos E. 16 2007 Erratum to: “Simple chaotic flows with a line equilibrium”. Zbl 1417.37127 Jafari, Sajad; Sprott, J. C. 16 2015 A chaotic model of sustaining attention problem in attention deficit disorder. Zbl 1304.37064 Baghdadi, G.; Jafari, S.; Sprott, J. C.; Towhidkhah, F.; Hashemi Golpayegani, M. R. 16 2015 Symmetric time-reversible flows with a strange attractor. Zbl 1317.34046 Sprott, J. C. 15 2015 A simple chaotic flow with a continuously adjustable attractor dimension. Zbl 1328.37035 Munmuangsaen, Buncha; Sprott, Julien Clinton; Thio, Wesley Joo-Chen; Buscarino, Arturo; Fortuna, Luigi 14 2015 Limitation of perpetual points for confirming conservation in dynamical systems. Zbl 1330.34081 Jafari, Sajad; Nazarimehr, Fahimeh; Sprott, J. C.; Hashemi Golpayegani, Seyed Mohammad Reza 14 2015 Extraction of dynamical equations from chaotic data. Zbl 1194.37141 Rowlands, G.; Sprott, J. C. 14 1992 Routes to chaos in neural networks with random weights. Zbl 0943.92002 Albers, D. J.; Sprott, J. C.; Dechert, W. D. 12 1998 Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study. Zbl 1130.37357 Albers, D. J.; Sprott, J. C. 12 2006 Structural stability and hyperbolicity violation in high-dimensional dynamical systems. Zbl 1189.37028 Albers, D. J.; Sprott, J. C. 12 2006 Periodically forced chaotic system with signum nonlinearity. Zbl 1193.34090 Sun, Kehui; Sprott, J. C. 12 2010 Two simplest quadratic chaotic maps without equilibrium. Zbl 1404.34020 Panahi, Shirin; Sprott, Julien C.; Jafari, Sajad 12 2018 High-dimensional dynamics in the delayed Hénon map. Zbl 1135.37308 Sprott, J. C. 10 2006 Neural network method for determining embedding dimension of a time series. Zbl 1220.65015 Maus, A.; Sprott, J. C. 10 2011 Crisis in amplitude control hides in multistability. Zbl 1357.34106 Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan 10 2016 Using chaotic artificial neural networks to model memory in the brain. Zbl 1467.92010 Aram, Zainab; Jafari, Sajad; Ma, Jun; Sprott, Julien C.; Zendehrouh, Sareh; Pham, Viet-Thanh 10 2017 Robust chaos and its applications. Zbl 1253.37004 Zeraoulia, Elhadj; Sprott, Julien Clinton 9 2012 A search for the simplest chaotic partial differential equation. Zbl 1232.35034 Brummitt, Charles D.; Sprott, J. C. 9 2009 Dynamics of a simplified Lorenz system. Zbl 1168.34334 Sun, Kehui; Sprott, J. C. 9 2009 Coexistence and chaos in complex ecologies. Zbl 1123.37331 Sprott, J. C.; Vano, J. A.; Wildenberg, J. C.; Anderson, M. B.; Noel, J. K. 9 2005 Evaluating Lyapunov exponent spectra with neural networks. Zbl 1294.37031 Maus, A.; Sprott, J. C. 9 2013 Ergodic time-reversible chaos for Gibbs’ canonical oscillator. Zbl 1349.37003 Hoover, William Graham; Sprott, Julien Clinton; Patra, Puneet Kumar 9 2015 How to bridge attractors and repellors. Zbl 1380.37057 Li, Chunbiao; Sprott, Julien Clinton 9 2017 The effect of modulating a parameter in the logistic map. Zbl 1307.37016 Elhadj, Zeraoulia; Sprott, J. C. 9 2008 New chaotic regimes in the Lorenz and Chen systems. Zbl 1309.34008 Sprott, J. C. 9 2015 Categorizing chaotic flows from the viewpoint of fixed points and perpetual points. Zbl 1362.34025 Nazarimehr, Fahimeh; Jafari, Sajad; Hashemi Golpayegani, Seyed Mohammad Reza; Sprott, J. C. 9 2017 Ergodicity of a singly-thermostated harmonic oscillator. Zbl 1510.82015 Hoover, William Graham; Sprott, Julien Clinton; Griswold Hoover, Carol 9 2016 Comment on “A hidden chaotic attractor in the classical Lorenz system”. Zbl 1404.34070 Sprott, J. C.; Munmuangsaen, Buncha 9 2018 Maximally complex simple attractors. Zbl 1163.37368 Sprott, J. C. 8 2007 When two dual chaotic systems shake hands. Zbl 1296.34115 Sprott, J. C.; Wang, Xiong; Chen, Guanrong 8 2014 The equivalence of dissipation from Gibbs’ entropy production with phase-volume loss in ergodic heat-conducting oscillators. Zbl 1343.82024 Patra, Puneet Kumar; Hoover, William Graham; Hoover, Carol Griswold; Sprott, Julien Clinton 8 2016 A chaotic circuit based on a physical memristor. Zbl 1490.94080 Minati, L.; Gambuzza, Lucia V.; Thio, W. J.; Sprott, J. C.; Frasca, Mattia 8 2020 2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003 Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2010 Simplest driven conservative chaotic oscillator. Zbl 1010.70020 Gottlieb, H. P. W.; Sprott, J. C. 7 2001 A two-dimensional discrete mapping with \(C^\infty\) multifold chaotic attractors. Zbl 1153.37351 Elhadj, Zeraoulia; Sprott, J. C. 7 2008 A simple spatiotemporal chaotic Lotka-Volterra model. Zbl 1081.37057 Sprott, J. C.; Wildenberg, J. C.; Azizi, Yousef 7 2005 Harmonic oscillators with nonlinear damping. Zbl 1381.34055 Sprott, J. C.; Hoover, William G. 7 2017 Transformation of 4-D dynamical systems to hyperjerk form. Zbl 1343.37023 Elhadj, Zeraoulia; Sprott, J. C. 7 2013 A minimal 2-D quadratic map with quasi-periodic route to chaos. Zbl 1147.37323 Elhadj, Zeraoulia; Sprott, J. C. 7 2008 A new simple 2-D piecewise linear map. Zbl 1205.37066 Elhadj, Zeraoulia; Sprott, Julien Clinton 7 2010 Coexisting infinite equilibria and chaos. Zbl 1469.34060 Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad 7 2021 Categories of conservative flows. Zbl 1414.34029 Jafari, Sajad; Sprott, Julien C.; Dehghan, Soroush 6 2019 The discrete hyperchaotic double scroll. Zbl 1167.37339 Elhadj, Zeraoulia; Sprott, J. C. 5 2009 Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Zbl 1327.80001 Hoover, William Graham; Hoover, Carol Griswold 5 2015 Non-existence of Shilnikov chaos in continuous-time systems. Zbl 1266.65202 Elhadj, Z.; Sprott, J. C. 5 2012 Simplest 3D continuous-time quadratic systems as candidates for generating multiscroll chaotic attractors. Zbl 1275.34016 Elhadj, Zeraoulia; Sprott, J. C. 5 2013 Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos. Zbl 1159.37339 Chlouverakis, Konstantinos E.; Sprott, J. C. 4 2007 Hidden attractors with conditional symmetry. Zbl 1455.37027 Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei 4 2020 A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038 Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C. 4 2020 3D printing – the basins of tristability in the Lorenz system. Zbl 1377.34024 Xiong, Anda; Sprott, Julien C.; Lyu, Jingxuan; Wang, Xilu 3 2017 About the boundedness of 3-D continuous-time quadratic systems. Zbl 1334.37030 Elhadj, Z.; Sprott, J. C. 3 2011 Simple driven chaotic oscillators with complex variables. Zbl 1311.34129 Marshall, Delmar; Sprott, J. C. 3 2009 Elegant circuits. Simple chaotic oscillators. Zbl 1485.94173 Sprott, Julien Clinton; Thio, Wesley Joo-Chen 1 2022 Coexisting infinite equilibria and chaos. Zbl 1469.34060 Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad 7 2021 A chaotic circuit based on a physical memristor. Zbl 1490.94080 Minati, L.; Gambuzza, Lucia V.; Thio, W. J.; Sprott, J. C.; Frasca, Mattia 8 2020 Hidden attractors with conditional symmetry. Zbl 1455.37027 Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei 4 2020 A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038 Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C. 4 2020 Polarity balance for attractor self-reproducing. Zbl 1450.37076 Li, Chunbiao; Sun, Jiayu; Lu, Tianai; Sprott, Julien Clinton; Liu, Zuohua 3 2020 Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025 Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian 2 2020 A chaotic circuit for producing Gaussian random numbers. Zbl 1478.94154 Sprott, J. C.; Thio, W. J. 1 2020 Categories of conservative flows. Zbl 1414.34029 Jafari, Sajad; Sprott, Julien C.; Dehghan, Soroush 6 2019 Simple chaotic systems with specific analytical solutions. Zbl 1427.34025 Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C. 3 2019 Elegant fractals. Automated generation of computer art. Zbl 1409.28001 Sprott, Julien Clinton 1 2019 An infinite 3-D quasiperiodic lattice of chaotic attractors. Zbl 1383.35031 Li, Chunbiao; Sprott, Julien Clinton 43 2018 Offset boosting for breeding conditional symmetry. Zbl 1415.37029 Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian; Gu, Zhenyu; Zhang, Jingwei 21 2018 Infinite lattice of hyperchaotic strange attractors. Zbl 1390.34115 Li, Chunbiao; Sprott, Julien Clinton; Kapitaniak, Tomasz; Lu, Tianai 17 2018 Two simplest quadratic chaotic maps without equilibrium. Zbl 1404.34020 Panahi, Shirin; Sprott, Julien C.; Jafari, Sajad 12 2018 Comment on “A hidden chaotic attractor in the classical Lorenz system”. Zbl 1404.34070 Sprott, J. C.; Munmuangsaen, Buncha 9 2018 Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026 Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie 54 2017 Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159 Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei 50 2017 Constructing chaotic systems with conditional symmetry. Zbl 1372.37069 Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan 40 2017 Detecting hidden chaotic regions and complex dynamics in the self-exciting homopolar disc dynamo. Zbl 1362.34082 Wei, Zhouchao; Moroz, Irene; Sprott, Julien Clinton; Wang, Zhen; Zhang, Wei 27 2017 A new chaotic oscillator with free control. Zbl 1390.34196 Li, Chunbiao; Clinton Sprott, Julien; Akgul, Akif; Iu, Herbert H. C.; Zhao, Yibo 20 2017 Are perpetual points sufficient for locating hidden attractors? Zbl 1360.34122 Nazarimehr, Fahimeh; Saedi, Batool; Jafari, Sajad; Sprott, J. C. 19 2017 Using chaotic artificial neural networks to model memory in the brain. Zbl 1467.92010 Aram, Zainab; Jafari, Sajad; Ma, Jun; Sprott, Julien C.; Zendehrouh, Sareh; Pham, Viet-Thanh 10 2017 How to bridge attractors and repellors. Zbl 1380.37057 Li, Chunbiao; Sprott, Julien Clinton 9 2017 Categorizing chaotic flows from the viewpoint of fixed points and perpetual points. Zbl 1362.34025 Nazarimehr, Fahimeh; Jafari, Sajad; Hashemi Golpayegani, Seyed Mohammad Reza; Sprott, J. C. 9 2017 Harmonic oscillators with nonlinear damping. Zbl 1381.34055 Sprott, J. C.; Hoover, William G. 7 2017 3D printing – the basins of tristability in the Lorenz system. Zbl 1377.34024 Xiong, Anda; Sprott, Julien C.; Lyu, Jingxuan; Wang, Xilu 3 2017 A simple chaotic flow with a plane of equilibria. Zbl 1343.34037 Jafari, Sajad; Sprott, J. C.; Molaie, Malihe 50 2016 Simple chaotic flows with a curve of equilibria. Zbl 1352.34015 Barati, Kosar; Jafari, Sajad; Sprott, Julien Clinton; Pham, Viet-Thanh 34 2016 Simple chaotic flow with circle and square equilibrium. Zbl 1345.34016 Gotthans, Tomas; Sprott, Julien Clinton; Petrzela, Jiri 26 2016 Dynamics at infinity, degenerate Hopf and zero-Hopf bifurcation for Kingni-Jafari system with hidden attractors. Zbl 1343.34040 Wei, Zhouchao; Moroz, Irene; Wang, Zhen; Sprott, Julien Clinton; Kapitaniak, Tomasz 18 2016 Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters. Zbl 1349.93221 Liu, Jian; Liu, Shutang; Sprott, Julien Clinton 17 2016 Crisis in amplitude control hides in multistability. Zbl 1357.34106 Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan 10 2016 Ergodicity of a singly-thermostated harmonic oscillator. Zbl 1510.82015 Hoover, William Graham; Sprott, Julien Clinton; Griswold Hoover, Carol 9 2016 The equivalence of dissipation from Gibbs’ entropy production with phase-volume loss in ergodic heat-conducting oscillators. Zbl 1343.82024 Patra, Puneet Kumar; Hoover, William Graham; Hoover, Carol Griswold; Sprott, Julien Clinton 8 2016 Constructing chaotic systems with total amplitude control. Zbl 1326.34101 Li, Chunbiao; Sprott, Julien Clinton; Yuan, Zeshi; Li, Hongtao 43 2015 Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium. Zbl 1349.34226 Wei, Zhouchao; Sprott, J. C.; Chen, Huai 29 2015 Linearization of the Lorenz system. Zbl 1342.34062 Li, Chunbiao; Sprott, Julien Clinton; Thio, Wesley 28 2015 A chaotic system with a single unstable node. Zbl 1364.37084 Sprott, J. C.; Jafari, Sajad; Pham, Viet-Thanh; Hosseini, Zahra Sadat 27 2015 Classifying and quantifying basins of attraction. Zbl 1374.37026 Sprott, J. C.; Xiong, Anda 26 2015 Erratum to: “Simple chaotic flows with a line equilibrium”. Zbl 1417.37127 Jafari, Sajad; Sprott, J. C. 16 2015 A chaotic model of sustaining attention problem in attention deficit disorder. Zbl 1304.37064 Baghdadi, G.; Jafari, S.; Sprott, J. C.; Towhidkhah, F.; Hashemi Golpayegani, M. R. 16 2015 Symmetric time-reversible flows with a strange attractor. Zbl 1317.34046 Sprott, J. C. 15 2015 A simple chaotic flow with a continuously adjustable attractor dimension. Zbl 1328.37035 Munmuangsaen, Buncha; Sprott, Julien Clinton; Thio, Wesley Joo-Chen; Buscarino, Arturo; Fortuna, Luigi 14 2015 Limitation of perpetual points for confirming conservation in dynamical systems. Zbl 1330.34081 Jafari, Sajad; Nazarimehr, Fahimeh; Sprott, J. C.; Hashemi Golpayegani, Seyed Mohammad Reza 14 2015 Ergodic time-reversible chaos for Gibbs’ canonical oscillator. Zbl 1349.37003 Hoover, William Graham; Sprott, Julien Clinton; Patra, Puneet Kumar 9 2015 New chaotic regimes in the Lorenz and Chen systems. Zbl 1309.34008 Sprott, J. C. 9 2015 Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Zbl 1327.80001 Hoover, William Graham; Hoover, Carol Griswold 5 2015 Broken symmetry in modified Lorenz model. Zbl 1329.37044 Djellit, Ilham; Kilani, Brahim; Sprott, Julien Clinton 2 2015 Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111 Li, Chunbiao; Sprott, J. C. 98 2014 Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015 Li, Chunbiao; Sprott, Julien Clinton 67 2014 Chaotic flows with a single nonquadratic term. Zbl 1396.35002 Li, Chunbiao; Sprott, J. C. 35 2014 Cost function based on Gaussian mixture model for parameter estimation of a chaotic circuit with a hidden attractor. Zbl 1284.34022 Lao, Seng-Kin; Shekofteh, Yasser; Jafari, Sajad; Sprott, Julien Clinton 34 2014 A dynamical system with a strange attractor and invariant tori. Zbl 1323.37022 Sprott, J. C. 32 2014 Simplest chaotic flows with involutional symmetries. Zbl 1284.34066 Sprott, J. C. 29 2014 A new cost function for parameter estimation of chaotic systems using return maps as fingerprints. Zbl 1302.34027 Jafari, Sajad; Sprott, Julien C.; Pham, Viet-Thanh; Golpayegani, S. Mohammad Reza Hashemi; Jafari, Amir Homayoun 19 2014 When two dual chaotic systems shake hands. Zbl 1296.34115 Sprott, J. C.; Wang, Xiong; Chen, Guanrong 8 2014 Confirmation of persistent chaos in high dimensions. Zbl 1389.37016 Elhadj, Zeraoulia; Sprott, J. C. 1 2014 Simple chaotic flows with a line equilibrium. Zbl 1355.37056 Jafari, Sajad; Sprott, J. C. 177 2013 Elementary quadratic chaotic flows with no equilibria. Zbl 1428.34059 Jafari, Sajad; Sprott, J. C.; Hashemi Golpayegani, S. Mohammad Reza 125 2013 Simple chaotic flows with one stable equilibrium. Zbl 1284.34064 Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi 124 2013 Application of Takagi-sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization. Zbl 1281.34085 Chen, Diyi; Zhao, Weili; Sprott, Julien Clinton; Ma, Xiaoyi 33 2013 Multistability in a butterfly flow. Zbl 1284.34060 Li, Chunbiao; Sprott, J. C. 28 2013 Amplitude control approach for chaotic signals. Zbl 1281.34070 Li, Chunbiao; Sprott, J. C. 25 2013 Evaluating Lyapunov exponent spectra with neural networks. Zbl 1294.37031 Maus, A.; Sprott, J. C. 9 2013 Transformation of 4-D dynamical systems to hyperjerk form. Zbl 1343.37023 Elhadj, Zeraoulia; Sprott, J. C. 7 2013 Simplest 3D continuous-time quadratic systems as candidates for generating multiscroll chaotic attractors. Zbl 1275.34016 Elhadj, Zeraoulia; Sprott, J. C. 5 2013 A proof that \(S\)-unimodal maps are Collet-Eckmann maps in a specific range of their bifurcation parameters. Zbl 1340.37030 Elhadj, Zeraoulia; Sprott, J. C. 2 2013 A rigorous determination of the overall period in the structure of a chaotic attractor. Zbl 1270.37034 Elhadj, Zeraoulia; Sprott, J. C. 2 2013 About universal basins of attraction in high-dimensional systems. Zbl 1284.37025 Elhadj, Zeraoulia; Sprott, J. C. 2 2013 About structural stability of 3-D quadratic mappings. Zbl 1334.37017 Elhadj, Zeraoulia; Sprott, J. C. 1 2013 Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control. Zbl 1268.93092 Chen, Diyi; Zhang, Runfan; Sprott, Julien Clinton; Ma, Xiaoyi 33 2012 Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control. Zbl 1331.34129 Chen, Diyi; Zhang, Runfan; Sprott, J. C.; Chen, Haitao; Ma, Xiaoyi 27 2012 Robust chaos and its applications. Zbl 1253.37004 Zeraoulia, Elhadj; Sprott, Julien Clinton 9 2012 Non-existence of Shilnikov chaos in continuous-time systems. Zbl 1266.65202 Elhadj, Z.; Sprott, J. C. 5 2012 Boundedness of certain forms of jerky dynamics. Zbl 1337.34037 Elhadj, Zeraoulia; Sprott, J. C. 3 2012 An example of a fully bounded chaotic sea that surrounds an infinite set of nested invariant tori. Zbl 1308.37016 Elhadj, Zeraoulia; Sprott, J. C. 1 2012 Generalization of the simplest autonomous chaotic system. Zbl 1242.34076 Munmuangsaen, Buncha; Srisuchinwong, Banlue; Sprott, J. C. 21 2011 Neural network method for determining embedding dimension of a time series. Zbl 1220.65015 Maus, A.; Sprott, J. C. 10 2011 About the boundedness of 3-D continuous-time quadratic systems. Zbl 1334.37030 Elhadj, Z.; Sprott, J. C. 3 2011 How to transform a type of chaos in dynamical systems? Zbl 1266.37016 Elhadj, Zeraoulia; Sprott, J. C. 3 2011 Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function. Zbl 1334.37102 Elhadj, Z.; Sprott, J. C. 2 2011 Frontiers in the study of chaotic dynamical systems with open problems. Zbl 1225.37002 1 2011 Elegant chaos. Algebraically simple chaotic flows. Dedicated to the memory of Edward Norton Lorenz. Zbl 1222.37005 Sprott, Julien Clinton 158 2010 Bifurcations and chaos in fractional-order simplified Lorenz system. Zbl 1193.34005 Sun, Kehui; Wang, Xia; Sprott, J. C. 40 2010 Periodically forced chaotic system with signum nonlinearity. Zbl 1193.34090 Sun, Kehui; Sprott, J. C. 12 2010 2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003 Zeraoulia, Elhadj; Sprott, Julien Clinton 7 2010 A new simple 2-D piecewise linear map. Zbl 1205.37066 Elhadj, Zeraoulia; Sprott, Julien Clinton 7 2010 Simple conservative, autonomous, second-order chaotic complex variable systems. Zbl 1193.34087 Marshall, Delmar; Sprott, J. C. 1 2010 A search for the simplest chaotic partial differential equation. Zbl 1232.35034 Brummitt, Charles D.; Sprott, J. C. 9 2009 Dynamics of a simplified Lorenz system. Zbl 1168.34334 Sun, Kehui; Sprott, J. C. 9 2009 The discrete hyperchaotic double scroll. Zbl 1167.37339 Elhadj, Zeraoulia; Sprott, J. C. 5 2009 Simple driven chaotic oscillators with complex variables. Zbl 1311.34129 Marshall, Delmar; Sprott, J. C. 3 2009 The effect of modulating a parameter in the logistic map. Zbl 1307.37016 Elhadj, Zeraoulia; Sprott, J. C. 9 2008 A two-dimensional discrete mapping with \(C^\infty\) multifold chaotic attractors. Zbl 1153.37351 Elhadj, Zeraoulia; Sprott, J. C. 7 2008 A minimal 2-D quadratic map with quasi-periodic route to chaos. Zbl 1147.37323 Elhadj, Zeraoulia; Sprott, J. C. 7 2008 A simple chaotic delay differential equation. Zbl 1203.37064 Sprott, J. C. 35 2007 Labyrinth chaos. Zbl 1141.37330 Sprott, J. C.; Chlouverakis, Konstantinos E. 16 2007 Maximally complex simple attractors. Zbl 1163.37368 Sprott, J. C. 8 2007 Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos. Zbl 1159.37339 Chlouverakis, Konstantinos E.; Sprott, J. C. 4 2007 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,360 Authors 87 Jafari, Sajad 81 Sprott, Julien Clinton 62 Pham, Viet-Thanh 49 Chen, Guanrong 41 Rajagopal, Karthikeyan 41 Vaidyanathan, Sundarapandian 38 Li, Chunbiao 33 Wei, Zhouchao 32 Kengne, Jacques 31 Volos, Christos K. 24 Wang, Xiong 23 Nazarimehr, Fahimeh 22 Kapitaniak, Tomasz 19 Kuznetsov, Nikolay Vladimirovich 17 Wang, Zenghui 16 Sun, Kehui 15 Bao, Bocheng 15 Llibre, Jaume 15 Ouannas, Adel 14 Cang, Shijian 14 Chen, Mo 14 Kingni, Sifeu Takougang 14 Roy, Binoy Krishna 14 Wang, Zhen 13 Azar, Ahmad Taher 13 Bao, Han 13 Chen, Zengqiang 12 Karthikeyan, Anitha 12 Leonov, Gennadiĭ Alekseevich 12 Yang, Qigui 11 Danca, Marius-Florin 11 He, Shaobo 11 Lai, Qiang 11 Qi, Guoyuan 10 Ahmad, Wajdi M. 10 Hussain, Iqtadar 10 Leutcho, Gervais Dolvis 10 Liu, Yongjian 10 Panahi, Shirin 10 Singh, Jay Prakash 10 Xu, Quan 10 Zhang, Wei 9 Akgul, Akif 9 Chen, Diyi 9 Fotsin, Hilaire Bertrand 9 Letellier, Christophe 9 Njitacke, Zeric Tabekoueng 9 Sun, Ji Tao 9 Wang, Xingyuan 9 Yuan, Fang 8 Burkin, Igor’ Mikhaĭlovich 8 Elhadj, Zeraoulia 8 Grassi, Giuseppe 8 Hayat, Tasawar 8 Khalaf, Abdul Jalil M. 8 Lei, Tengfei 8 Li, Yuxia 8 Moroz, Irene M. 8 Prasad, Awadhesh 8 Tavazoei, Mohammad Saleh 8 Wang, Huihai 8 Zhang, Sen 7 Dudkowski, Dawid 7 Kamdem Kuate, Paul Didier 7 Kurths, Jürgen 7 Li, Yue 7 Li, Zhijun 7 Liu, Chongxin 7 Perc, Matjaž 7 Srinivasan, Ashokkumar 7 Wang, Chunhua 7 Wang, Guangyi 7 Wu, Huagan 7 Yang, Xiaosong 7 Zeng, Yicheng 6 Aguirre, Luis Antonio 6 Banerjee, Santo 6 Chu, Yandong 6 Fozin, Theophile Fonzin 6 Haeri, Mohammad 6 Hu, Jianbing 6 Li, Xianfeng 6 Messias, Marcelo 6 Wang, Bin 6 Wang, Haijun 6 Wang, Ning 6 Zeng, Zhigang 5 Albers, David J. 5 Al-saedi, Ahmed Eid Salem 5 Ambika, G. 5 Cafagna, Donato 5 Campos-Cantón, Eric 5 Cândido, Murilo R. 5 Chlouverakis, Konstantinos E. 5 Duraisamy, Prakash 5 El-Sayed, Ahmed Mohamed Ahmed 5 Frasca, Mattia 5 Ge, Zhengming 5 Harikrishnan, K. P. 5 Iu, Herbert Ho Ching ...and 2,260 more Authors all top 5 Cited in 193 Serials 276 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 220 Chaos, Solitons and Fractals 115 Nonlinear Dynamics 109 Chaos 42 Communications in Nonlinear Science and Numerical Simulation 34 Physica D 34 Complexity 32 Applied Mathematics and Computation 28 Physics Letters. A 26 Mathematical Problems in Engineering 19 Physica A 19 Advances in Difference Equations 11 Journal of the Franklin Institute 10 Discrete and Continuous Dynamical Systems. Series B 9 Archives of Control Sciences 9 Journal of Applied Mathematics 8 Applied Mathematical Modelling 8 Discrete Dynamics in Nature and Society 7 International Journal of Modern Physics B 7 Circuits, Systems, and Signal Processing 7 Fractals 7 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Neural Computation 2 Proceedings of the National Academy of Sciences of the United States of America 2 Vestnik St. Petersburg University. Mathematics 2 Mathematical Physics, Analysis and Geometry 2 Journal of Dynamical and Control Systems 2 Nonlinear Analysis. Modelling and Control 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Journal of Systems Science and Complexity 2 Decisions in Economics and Finance 2 Entropy 2 The Australian Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences and Engineering 2 Proyecciones 2 Chebyshevskiĭ Sbornik 2 Chinese Journal of Physics (Taipei) 2 Advances and Applications in Discrete Mathematics 2 Communications in Theoretical Physics 2 Advances in Applied Mathematics and Mechanics 2 Arabian Journal for Science and Engineering 2 Journal of Mathematics 1 European Journal of Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology ...and 93 more Serials all top 5 Cited in 42 Fields 837 Ordinary differential equations (34-XX) 758 Dynamical systems and ergodic theory (37-XX) 299 Systems theory; control (93-XX) 198 Information and communication theory, circuits (94-XX) 122 Biology and other natural sciences (92-XX) 93 Mechanics of particles and systems (70-XX) 92 Numerical analysis (65-XX) 65 Real functions (26-XX) 38 Partial differential equations (35-XX) 37 Computer science (68-XX) 36 Statistical mechanics, structure of matter (82-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Statistics (62-XX) 31 Difference and functional equations (39-XX) 18 Operations research, mathematical programming (90-XX) 17 Fluid mechanics (76-XX) 15 Geophysics (86-XX) 12 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 11 Probability theory and stochastic processes (60-XX) 10 Quantum theory (81-XX) 9 Measure and integration (28-XX) 8 Operator theory (47-XX) 5 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year