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Sprott, Julien Clinton

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Author ID: sprott.julien-clinton Recent zbMATH articles by "Sprott, Julien Clinton"
Published as: Clinton Sprott, Julien; Sprott, J. C.; Sprott, Julien C.; Sprott, Julien Clinton
Homepage: http://sprott.physics.wisc.edu/sprott.htm
External Links: ORCID · dblp · GND
Documents Indexed: 126 Publications since 1987, including 8 Books
Biographic References: 1 Publication
all top 5

Co-Authors

14 single-authored
21 Elhadj, Zeraoulia
20 Jafari, Sajad
19 Li, Chunbiao
6 Nazarimehr, Fahimeh
5 Albers, David J.
4 Chlouverakis, Konstantinos E.
4 Hoover, William Graham
4 Pham, Viet-Thanh
4 Wei, Zhouchao
3 Chen, Diyi
3 Hashemi Golpayegani, Seyed Mohammad Reza
3 Ma, Xiaoyi
3 Moroz, Irene M.
3 Munmuangsaen, Buncha
3 Sun, Kehui
3 Thio, Wesley Joo-Chen
3 Wildenberg, J. C.
2 Akgul, Akif
2 Anderson, M. B.
2 Dechert, W. Davis
2 Djellit, Ilhem
2 Faghani, Zahra
2 Golpayegani, S. Mohammad Reza Hashemi
2 Hoover, Carol Griswold
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, 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, Guanrong
1 Chen, Haitao
1 Chen, Huai
1 Dehghan, Soroush
1 Ferchichi, Mohamed Réda
1 Fortuna, Luigi
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 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 Mladenoff, David J.
1 Peng, Yuxuan
1 Perc, Matjaž
1 Petržela, Jiří
1 Price, Steve
1 Repnik, Robert
1 Rowlands, G. J.
1 Rowlands, George
1 Saedi, Batool
1 Sarff, J. S.
1 Shekofteh, Yasser
1 Srisuchinwong, Banlue
1 Tao, Ze
1 Towhidkhah, Farzad
1 Turner, Larry
1 Wang, Xia
1 Wang, Xilu
1 Wang, Xiong
1 Xu, Yujie
1 Yuan, Zeshi
1 Zendehrouh, Sareh
...and 3 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 2,109 times in 1,127 Documents Cited by Year
Chaos and time-series analysis. Zbl 1012.37001
Sprott, Julien Clinton
194
2003
Simple chaotic flows with a line equilibrium. Zbl 1355.37056
Jafari, Sajad; Sprott, J. C.
134
2013
Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019
Ahmad, Wajdi M.; Sprott, J. C.
127
2003
Elegant chaos. Algebraically simple chaotic flows. Dedicated to the memory of Edward Norton Lorenz. Zbl 1222.37005
Sprott, Julien Clinton
117
2010
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
97
2013
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
76
2014
Simplest dissipative chaotic flow. Zbl 1043.37504
Sprott, J. C.
65
1997
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
47
2014
Bifurcations and chaos in fractional-order simplified Lorenz system. Zbl 1193.34005
Sun, Kehui; Wang, Xia; Sprott, J. C.
36
2010
Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026
Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie
35
2017
A simple chaotic flow with a plane of equilibria. Zbl 1343.34037
Jafari, Sajad; Sprott, J. C.; Molaie, Malihe
35
2016
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
34
2017
An infinite 3-D quasiperiodic lattice of chaotic attractors. Zbl 1383.35031
Li, Chunbiao; Sprott, Julien Clinton
32
2018
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
32
2013
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
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
30
2014
Chaotic hyperjerk systems. Zbl 1106.37024
Chlouverakis, Konstantinos E.; Sprott, J. C.
30
2006
Constructing chaotic systems with conditional symmetry. Zbl 1372.37069
Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan
28
2017
Constructing chaotic systems with total amplitude control. Zbl 1326.34101
Li, Chunbiao; Sprott, Julien Clinton; Yuan, Zeshi; Li, Hongtao
28
2015
Elementary quadratic chaotic flows with no equilibria. Zbl 1428.34059
Jafari, Sajad; Sprott, J. C.; Hashemi Golpayegani, S. Mohammad Reza
28
2013
Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium. Zbl 1349.34226
Wei, Zhouchao; Sprott, J. C.; Chen, Huai
27
2015
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
27
2012
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.
27
2006
Simple chaotic flows with a curve of equilibria. Zbl 1352.34015
Barati, Kosar; Jafari, Sajad; Sprott, Julien Clinton; Pham, Viet-Thanh
25
2016
Chaotic flows with a single nonquadratic term. Zbl 1396.35002
Li, Chunbiao; Sprott, J. C.
24
2014
A dynamical system with a strange attractor and invariant tori. Zbl 1323.37022
Sprott, J. C.
24
2014
Multistability in a butterfly flow. Zbl 1284.34060
Li, Chunbiao; Sprott, J. C.
23
2013
Simple chaotic flow with circle and square equilibrium. Zbl 1345.34016
Gotthans, Tomas; Sprott, Julien Clinton; Petrzela, Jiri
22
2016
Linearization of the Lorenz system. Zbl 1342.34062
Li, Chunbiao; Sprott, Julien Clinton; Thio, Wesley
22
2015
A simple chaotic delay differential equation. Zbl 1203.37064
Sprott, J. C.
22
2007
A chaotic system with a single unstable node. Zbl 1364.37084
Sprott, J. C.; Jafari, Sajad; Pham, Viet-Thanh; Hosseini, Zahra Sadat
21
2015
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
21
2012
Elementary chaotic flow. Zbl 0935.37008
Linz, Stefan J.; Sprott, J. C.
21
1999
Classifying and quantifying basins of attraction. Zbl 1374.37026
Sprott, J. C.; Xiong, Anda
20
2015
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
18
2017
Simplest chaotic flows with involutional symmetries. Zbl 1284.34066
Sprott, J. C.
18
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
17
2014
A comparison of correlation and Lyapunov dimensions. Zbl 1063.37023
Chlouverakis, Konstantinos E.; Sprott, J. C.
17
2005
Generalization of the simplest autonomous chaotic system. Zbl 1242.34076
Munmuangsaen, Buncha; Srisuchinwong, Banlue; Sprott, J. C.
16
2011
Competition with evolution in ecology and finance. Zbl 1161.91405
Sprott, J. C.
16
2004
Improved correlation dimension calculation. Zbl 1090.37561
Sprott, J. C.; Rowlands, G.
16
2001
Are perpetual points sufficient for locating hidden attractors? Zbl 1360.34122
Nazarimehr, Fahimeh; Saedi, Batool; Jafari, Sajad; Sprott, J. C.
14
2017
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
14
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
14
2016
Extraction of dynamical equations from chaotic data. Zbl 1194.37141
Rowlands, G.; Sprott, J. C.
14
1992
Amplitude control approach for chaotic signals. Zbl 1281.34070
Li, Chunbiao; Sprott, J. C.
13
2013
Infinite lattice of hyperchaotic strange attractors. Zbl 1390.34115
Li, Chunbiao; Sprott, Julien Clinton; Kapitaniak, Tomasz; Lu, Tianai
12
2018
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
12
2015
Labyrinth chaos. Zbl 1141.37330
Sprott, J. C.; Chlouverakis, Konstantinos E.
12
2007
Structural stability and hyperbolicity violation in high-dimensional dynamical systems. Zbl 1189.37028
Albers, D. J.; Sprott, J. C.
12
2006
Erratum to: “Simple chaotic flows with a line equilibrium”. Zbl 1417.37127
Jafari, Sajad; Sprott, J. C.
11
2015
Symmetric time-reversible flows with a strange attractor. Zbl 1317.34046
Sprott, J. C.
11
2015
Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study. Zbl 1130.37357
Albers, D. J.; Sprott, J. C.
11
2006
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
10
2015
Periodically forced chaotic system with signum nonlinearity. Zbl 1193.34090
Sun, Kehui; Sprott, J. C.
10
2010
Routes to chaos in neural networks with random weights. Zbl 0943.92002
Albers, D. J.; Sprott, J. C.; Dechert, W. D.
9
1998
Offset boosting for breeding conditional symmetry. Zbl 1415.37029
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian; Gu, Zhenyu; Zhang, Jingwei
8
2018
A new chaotic oscillator with free control. Zbl 1390.34196
Li, Chunbiao; Clinton Sprott, Julien; Akgul, Akif; Iu, Herbert H. C.; Zhao, Yibo
8
2017
Crisis in amplitude control hides in multistability. Zbl 1357.34106
Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan
8
2016
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.
8
2015
High-dimensional dynamics in the delayed Hénon map. Zbl 1135.37308
Sprott, J. C.
8
2006
Coexistence and chaos in complex ecologies. Zbl 1123.37331
Sprott, J. C.; Vano, J. A.; Wildenberg, J. C.; Anderson, M. B.; Noel, J. K.
8
2005
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.
7
2017
Evaluating Lyapunov exponent spectra with neural networks. Zbl 1294.37031
Maus, A.; Sprott, J. C.
7
2013
Neural network method for determining embedding dimension of a time series. Zbl 1220.65015
Maus, A.; Sprott, J. C.
7
2011
A search for the simplest chaotic partial differential equation. Zbl 1232.35034
Brummitt, Charles D.; Sprott, J. C.
7
2009
Dynamics of a simplified Lorenz system. Zbl 1168.34334
Sun, Kehui; Sprott, J. C.
7
2009
Maximally complex simple attractors. Zbl 1163.37368
Sprott, J. C.
7
2007
Simplest driven conservative chaotic oscillator. Zbl 1010.70020
Gottlieb, H. P. W.; Sprott, J. C.
7
2001
Two simplest quadratic chaotic maps without equilibrium. Zbl 1404.34020
Panahi, Shirin; Sprott, Julien C.; Jafari, Sajad
6
2018
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
6
2016
When two dual chaotic systems shake hands. Zbl 1296.34115
Sprott, J. C.; Wang, Xiong; Chen, Guanrong
6
2014
Transformation of 4-D dynamical systems to hyperjerk form. Zbl 1343.37023
Elhadj, Zeraoulia; Sprott, J. C.
6
2013
2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003
Zeraoulia, Elhadj; Sprott, Julien Clinton
6
2010
The effect of modulating a parameter in the logistic map. Zbl 1307.37016
Elhadj, Zeraoulia; Sprott, J. C.
6
2008
A minimal 2-D quadratic map with quasi-periodic route to chaos. Zbl 1147.37323
Elhadj, Zeraoulia; Sprott, J. C.
6
2008
A simple spatiotemporal chaotic Lotka-Volterra model. Zbl 1081.37057
Sprott, J. C.; Wildenberg, J. C.; Azizi, Yousef
6
2005
Comment on “A hidden chaotic attractor in the classical Lorenz system”. Zbl 1404.34070
Sprott, J. C.; Munmuangsaen, Buncha
5
2018
Harmonic oscillators with nonlinear damping. Zbl 1381.34055
Sprott, J. C.; Hoover, William G.
5
2017
How to bridge attractors and repellors. Zbl 1380.37057
Li, Chunbiao; Sprott, Julien Clinton
5
2017
Ergodic time-reversible chaos for Gibbs’ canonical oscillator. Zbl 1349.37003
Hoover, William Graham; Sprott, Julien Clinton; Patra, Puneet Kumar
5
2015
New chaotic regimes in the Lorenz and Chen systems. Zbl 1309.34008
Sprott, J. C.
5
2015
Simplest 3D continuous-time quadratic systems as candidates for generating multiscroll chaotic attractors. Zbl 1275.34016
Elhadj, Zeraoulia; Sprott, J. C.
5
2013
Non-existence of Shilnikov chaos in continuous-time systems. Zbl 1266.65202
Elhadj, Z.; Sprott, J. C.
5
2012
Robust chaos and its applications. Zbl 1253.37004
Zeraoulia, Elhadj; Sprott, Julien Clinton
5
2012
A new simple 2-D piecewise linear map. Zbl 1205.37066
Elhadj, Zeraoulia; Sprott, Julien Clinton
4
2010
The discrete hyperchaotic double scroll. Zbl 1167.37339
Elhadj, Zeraoulia; Sprott, J. C.
4
2009
Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos. Zbl 1159.37339
Chlouverakis, Konstantinos E.; Sprott, J. C.
4
2007
A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
3
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
Boundedness of certain forms of jerky dynamics. Zbl 1337.34037
Elhadj, Zeraoulia; Sprott, J. C.
3
2012
How to transform a type of chaos in dynamical systems? Zbl 1266.37016
Elhadj, Zeraoulia; Sprott, J. C.
3
2011
Simple driven chaotic oscillators with complex variables. Zbl 1311.34129
Marshall, Delmar; Sprott, J. C.
3
2009
A two-dimensional discrete mapping with \(C^\infty\) multifold chaotic attractors. Zbl 1153.37351
Elhadj, Zeraoulia; Sprott, J. C.
3
2008
Simple chaotic systems with specific analytical solutions. Zbl 1427.34025
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
2
2019
Categories of conservative flows. Zbl 1414.34029
Jafari, Sajad; Sprott, Julien C.; Dehghan, Soroush
2
2019
Ergodicity of a singly-thermostated harmonic oscillator. Zbl 07246579
Hoover, William Graham; Sprott, Julien Clinton; Griswold Hoover, Carol
2
2016
Broken symmetry in modified Lorenz model. Zbl 1329.37044
Djellit, Ilham; Kilani, Brahim; Sprott, Julien Clinton
2
2015
A rigorous determination of the overall period in the structure of a chaotic attractor. Zbl 1270.37034
Elhadj, Zeraoulia; Sprott, J. C.
2
2013
Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function. Zbl 1334.37102
Elhadj, Z.; Sprott, J. C.
2
2011
A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
3
2020
Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian
1
2020
Simple chaotic systems with specific analytical solutions. Zbl 1427.34025
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
2
2019
Categories of conservative flows. Zbl 1414.34029
Jafari, Sajad; Sprott, Julien C.; Dehghan, Soroush
2
2019
An infinite 3-D quasiperiodic lattice of chaotic attractors. Zbl 1383.35031
Li, Chunbiao; Sprott, Julien Clinton
32
2018
Infinite lattice of hyperchaotic strange attractors. Zbl 1390.34115
Li, Chunbiao; Sprott, Julien Clinton; Kapitaniak, Tomasz; Lu, Tianai
12
2018
Offset boosting for breeding conditional symmetry. Zbl 1415.37029
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian; Gu, Zhenyu; Zhang, Jingwei
8
2018
Two simplest quadratic chaotic maps without equilibrium. Zbl 1404.34020
Panahi, Shirin; Sprott, Julien C.; Jafari, Sajad
6
2018
Comment on “A hidden chaotic attractor in the classical Lorenz system”. Zbl 1404.34070
Sprott, J. C.; Munmuangsaen, Buncha
5
2018
Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026
Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie
35
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
34
2017
Constructing chaotic systems with conditional symmetry. Zbl 1372.37069
Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan
28
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
18
2017
Are perpetual points sufficient for locating hidden attractors? Zbl 1360.34122
Nazarimehr, Fahimeh; Saedi, Batool; Jafari, Sajad; Sprott, J. C.
14
2017
A new chaotic oscillator with free control. Zbl 1390.34196
Li, Chunbiao; Clinton Sprott, Julien; Akgul, Akif; Iu, Herbert H. C.; Zhao, Yibo
8
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.
7
2017
Harmonic oscillators with nonlinear damping. Zbl 1381.34055
Sprott, J. C.; Hoover, William G.
5
2017
How to bridge attractors and repellors. Zbl 1380.37057
Li, Chunbiao; Sprott, Julien Clinton
5
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
Using chaotic artificial neural networks to model memory in the brain. Zbl 07257347
Aram, Zainab; Jafari, Sajad; Ma, Jun; Sprott, Julien C.; Zendehrouh, Sareh; Pham, Viet-Thanh
1
2017
A simple chaotic flow with a plane of equilibria. Zbl 1343.34037
Jafari, Sajad; Sprott, J. C.; Molaie, Malihe
35
2016
Simple chaotic flows with a curve of equilibria. Zbl 1352.34015
Barati, Kosar; Jafari, Sajad; Sprott, Julien Clinton; Pham, Viet-Thanh
25
2016
Simple chaotic flow with circle and square equilibrium. Zbl 1345.34016
Gotthans, Tomas; Sprott, Julien Clinton; Petrzela, Jiri
22
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
14
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
14
2016
Crisis in amplitude control hides in multistability. Zbl 1357.34106
Li, Chunbiao; Sprott, Julien Clinton; Xing, Hongyan
8
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
6
2016
Ergodicity of a singly-thermostated harmonic oscillator. Zbl 07246579
Hoover, William Graham; Sprott, Julien Clinton; Griswold Hoover, Carol
2
2016
Constructing chaotic systems with total amplitude control. Zbl 1326.34101
Li, Chunbiao; Sprott, Julien Clinton; Yuan, Zeshi; Li, Hongtao
28
2015
Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium. Zbl 1349.34226
Wei, Zhouchao; Sprott, J. C.; Chen, Huai
27
2015
Linearization of the Lorenz system. Zbl 1342.34062
Li, Chunbiao; Sprott, Julien Clinton; Thio, Wesley
22
2015
A chaotic system with a single unstable node. Zbl 1364.37084
Sprott, J. C.; Jafari, Sajad; Pham, Viet-Thanh; Hosseini, Zahra Sadat
21
2015
Classifying and quantifying basins of attraction. Zbl 1374.37026
Sprott, J. C.; Xiong, Anda
20
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
12
2015
Erratum to: “Simple chaotic flows with a line equilibrium”. Zbl 1417.37127
Jafari, Sajad; Sprott, J. C.
11
2015
Symmetric time-reversible flows with a strange attractor. Zbl 1317.34046
Sprott, J. C.
11
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
10
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.
8
2015
Ergodic time-reversible chaos for Gibbs’ canonical oscillator. Zbl 1349.37003
Hoover, William Graham; Sprott, Julien Clinton; Patra, Puneet Kumar
5
2015
New chaotic regimes in the Lorenz and Chen systems. Zbl 1309.34008
Sprott, J. C.
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.
76
2014
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
47
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
30
2014
Chaotic flows with a single nonquadratic term. Zbl 1396.35002
Li, Chunbiao; Sprott, J. C.
24
2014
A dynamical system with a strange attractor and invariant tori. Zbl 1323.37022
Sprott, J. C.
24
2014
Simplest chaotic flows with involutional symmetries. Zbl 1284.34066
Sprott, J. C.
18
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
17
2014
When two dual chaotic systems shake hands. Zbl 1296.34115
Sprott, J. C.; Wang, Xiong; Chen, Guanrong
6
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.
134
2013
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
97
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
32
2013
Elementary quadratic chaotic flows with no equilibria. Zbl 1428.34059
Jafari, Sajad; Sprott, J. C.; Hashemi Golpayegani, S. Mohammad Reza
28
2013
Multistability in a butterfly flow. Zbl 1284.34060
Li, Chunbiao; Sprott, J. C.
23
2013
Amplitude control approach for chaotic signals. Zbl 1281.34070
Li, Chunbiao; Sprott, J. C.
13
2013
Evaluating Lyapunov exponent spectra with neural networks. Zbl 1294.37031
Maus, A.; Sprott, J. C.
7
2013
Transformation of 4-D dynamical systems to hyperjerk form. Zbl 1343.37023
Elhadj, Zeraoulia; Sprott, J. C.
6
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 rigorous determination of the overall period in the structure of a chaotic attractor. Zbl 1270.37034
Elhadj, Zeraoulia; Sprott, J. C.
2
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.
1
2013
About structural stability of 3-D quadratic mappings. Zbl 1334.37017
Elhadj, Zeraoulia; Sprott, J. C.
1
2013
About universal basins of attraction in high-dimensional systems. Zbl 1284.37025
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
27
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
21
2012
Non-existence of Shilnikov chaos in continuous-time systems. Zbl 1266.65202
Elhadj, Z.; Sprott, J. C.
5
2012
Robust chaos and its applications. Zbl 1253.37004
Zeraoulia, Elhadj; Sprott, Julien Clinton
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.
16
2011
Neural network method for determining embedding dimension of a time series. Zbl 1220.65015
Maus, A.; Sprott, J. C.
7
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
About the boundedness of 3-D continuous-time quadratic systems. Zbl 1334.37030
Elhadj, Z.; Sprott, J. C.
1
2011
Frontiers in the study of chaotic dynamical systems with open problems. Zbl 1225.37002
Zeraoulia, Elhadj (ed.); Sprott, Julien Clinton (ed.)
1
2011
Elegant chaos. Algebraically simple chaotic flows. Dedicated to the memory of Edward Norton Lorenz. Zbl 1222.37005
Sprott, Julien Clinton
117
2010
Bifurcations and chaos in fractional-order simplified Lorenz system. Zbl 1193.34005
Sun, Kehui; Wang, Xia; Sprott, J. C.
36
2010
Periodically forced chaotic system with signum nonlinearity. Zbl 1193.34090
Sun, Kehui; Sprott, J. C.
10
2010
2-D quadratic maps and 3-D ODE systems. A rigorous approach. Zbl 1239.37003
Zeraoulia, Elhadj; Sprott, Julien Clinton
6
2010
A new simple 2-D piecewise linear map. Zbl 1205.37066
Elhadj, Zeraoulia; Sprott, Julien Clinton
4
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.
7
2009
Dynamics of a simplified Lorenz system. Zbl 1168.34334
Sun, Kehui; Sprott, J. C.
7
2009
The discrete hyperchaotic double scroll. Zbl 1167.37339
Elhadj, Zeraoulia; Sprott, J. C.
4
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.
6
2008
A minimal 2-D quadratic map with quasi-periodic route to chaos. Zbl 1147.37323
Elhadj, Zeraoulia; Sprott, J. C.
6
2008
A two-dimensional discrete mapping with \(C^\infty\) multifold chaotic attractors. Zbl 1153.37351
Elhadj, Zeraoulia; Sprott, J. C.
3
2008
A simple chaotic delay differential equation. Zbl 1203.37064
Sprott, J. C.
22
2007
Labyrinth chaos. Zbl 1141.37330
Sprott, J. C.; Chlouverakis, Konstantinos E.
12
2007
Maximally complex simple attractors. Zbl 1163.37368
Sprott, J. C.
7
2007
Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos. Zbl 1159.37339
Chlouverakis, Konstantinos E.; Sprott, J. C.
4
2007
Chaotic hyperjerk systems. Zbl 1106.37024
Chlouverakis, Konstantinos E.; Sprott, J. C.
30
2006
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.
27
2006
Structural stability and hyperbolicity violation in high-dimensional dynamical systems. Zbl 1189.37028
Albers, D. J.; Sprott, J. C.
12
2006
Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study. Zbl 1130.37357
Albers, D. J.; Sprott, J. C.
11
2006
High-dimensional dynamics in the delayed Hénon map. Zbl 1135.37308
Sprott, J. C.
8
2006
Probability of local bifurcation type from a fixed point: a random matrix perspective. Zbl 1118.82037
Albers, D. J.; Sprott, J. C.
2
2006
A comparison of correlation and Lyapunov dimensions. Zbl 1063.37023
Chlouverakis, Konstantinos E.; Sprott, J. C.
17
2005
Coexistence and chaos in complex ecologies. Zbl 1123.37331
Sprott, J. C.; Vano, J. A.; Wildenberg, J. C.; Anderson, M. B.; Noel, J. K.
8
2005
...and 18 more Documents
all top 5

Cited by 1,879 Authors

67 Sprott, Julien Clinton
66 Jafari, Sajad
53 Pham, Viet-Thanh
41 Vaidyanathan, Sundarapandian
35 Chen, Guanrong
31 Wei, Zhouchao
27 Volos, Christos K.
25 Li, Chunbiao
22 Kengne, Jacques
21 Rajagopal, Karthikeyan
20 Kapitaniak, Tomasz
18 Nazarimehr, Fahimeh
16 Kuznetsov, Nikolay Vladimirovich
14 Wang, Xiong
13 Azar, Ahmad Taher
13 Ouannas, Adel
13 Sun, Kehui
13 Wang, Zhen
13 Yang, Qigui
12 Leonov, Gennadiĭ Alekseevich
11 Kingni, Sifeu Takougang
11 Wang, Zenghui
10 Ahmad, Wajdi M.
10 Bao, Bocheng
10 Bao, Han
10 Chen, Mo
10 Lai, Qiang
9 Cang, Shijian
9 Danca, Marius-Florin
9 He, Shaobo
9 Karthikeyan, Anitha
9 Llibre, Jaume
9 Panahi, Shirin
9 Qi, Guoyuan
9 Roy, Binoy Krishna
9 Sun, Ji Tao
9 Xu, Quan
9 Yuan, Fang
8 Chen, Diyi
8 Chen, Zengqiang
8 Elhadj, Zeraoulia
8 Grassi, Giuseppe
8 Hayat, Tasawar
8 Kurths, Jürgen
8 Letellier, Christophe
8 Li, Yuxia
8 Liu, Yongjian
8 Singh, Jay Prakash
8 Tavazoei, Mohammad Saleh
8 Zhang, Wei
7 Akgul, Akif
7 Burkin, I. M.
7 Fotsin, Hilaire Bertrand
7 Khalaf, Abdul Jalil M.
7 Liu, Chongxin
7 Noorani, Mohd Salmi Mohd
7 Prasad, Awadhesh
7 Wang, Huihai
7 Yang, Xiaosong
6 Aguirre, Luis Antonio
6 Chu, Yandong
6 Dudkowski, Dawid
6 Haeri, Mohammad
6 Kuznetsov, Sergey P.
6 Li, Xianfeng
6 Moroz, Irene M.
6 Njitacke, Zeric Tabekoueng
6 Perc, Matjaž
6 Wang, Chunhua
6 Wang, Guangyi
6 Wang, Xingyuan
6 Zhang, Sen
5 Albers, David J.
5 Al-saedi, Ahmed Eid Salem
5 Cafagna, Donato
5 Chlouverakis, Konstantinos E.
5 Donner, Reik V.
5 El-Sayed, Ahmed Mohamed Ahmed
5 Fozin, Theophile Fonzin
5 Ge, Zhengming
5 Hashemi Golpayegani, Seyed Mohammad Reza
5 Hu, Jianbing
5 Kengne, Romanic
5 Lei, Tengfei
5 Leutcho, Gervais Dolvis
5 Li, Xianyi
5 McCartney, Mark
5 Messias, Marcelo
5 Min, Lequan
5 Sanjuán, Miguel A. F.
5 Srinivasan, Ashokkumar
5 Thamilmaran, Kathamuthu
5 Tunç, Cemil
5 Wang, Ning
5 Wu, Huagan
5 Zeng, Yicheng
5 Zhang, Jiangang
5 Zhang, Yinping
5 Zhao, Huitao
4 Al-Assaf, Yousef
...and 1,779 more Authors
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Cited in 153 Serials

235 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
156 Chaos, Solitons and Fractals
109 Nonlinear Dynamics
106 Chaos
38 Communications in Nonlinear Science and Numerical Simulation
30 Complexity
28 Applied Mathematics and Computation
25 Physica D
24 Mathematical Problems in Engineering
21 Physics Letters. A
12 Advances in Difference Equations
10 Journal of the Franklin Institute
8 Applied Mathematical Modelling
8 Journal of Applied Mathematics
7 International Journal of Modern Physics B
7 Circuits, Systems, and Signal Processing
7 Archives of Control Sciences
7 Discrete Dynamics in Nature and Society
7 Nonlinear Analysis. Real World Applications
6 Regular and Chaotic Dynamics
5 Computers & Mathematics with Applications
5 Journal of Computational Physics
5 Journal of Statistical Physics
5 Automatica
5 Information Sciences
5 Abstract and Applied Analysis
4 Journal of Computational and Applied Mathematics
4 Journal of Vibration and Control
4 International Journal of Modern Physics C
4 Discrete and Continuous Dynamical Systems. Series B
4 Advances in Mathematical Physics
3 Modern Physics Letters B
3 Mathematical Methods in the Applied Sciences
3 Physica A
3 Kybernetika
3 International Journal of Computer Mathematics
3 Physics of Fluids
3 Journal of Biological Systems
3 Journal of High Energy Physics
3 Qualitative Theory of Dynamical Systems
3 Differential Equations
3 Differentsial’nye Uravneniya i Protsessy Upravleniya
3 SIAM Journal on Applied Dynamical Systems
3 Journal of Control Science and Engineering
3 Asian Journal of Control
3 Journal of Theoretical Biology
3 Journal of Applied Analysis and Computation
3 Journal of Computational Dynamics
3 Open Mathematics
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Nelineĭnaya Dinamika
2 International Journal of Control
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2 Journal of Fluid Mechanics
2 Journal of Mathematical Physics
2 Mathematical Biosciences
2 Physics Reports
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
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 Nonlinear Analysis. Modelling and Control
2 Journal of Systems Science and Complexity
2 Entropy
2 Proyecciones
2 Chebyshevskiĭ Sbornik
2 Nonlinear Analysis. Hybrid Systems
2 Arabian Journal for Science and Engineering
1 Modern Physics Letters A
1 Applicable Analysis
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1 Moscow University Physics Bulletin
1 Physics Letters. B
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Theoretical and Computational Fluid Dynamics
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Mathematical Psychology
1 Kybernetes
1 Meccanica
1 Numerische Mathematik
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Classification
1 Applied Numerical Mathematics
1 Journal of Economic Dynamics & Control
1 Signal Processing
1 Multidimensional Systems and Signal Processing
1 Journal of Intelligent & Robotic Systems
1 International Journal of Adaptive Control and Signal Processing
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Computational Statistics and Data Analysis
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Cited in 41 Fields

657 Ordinary differential equations (34-XX)
592 Dynamical systems and ergodic theory (37-XX)
265 Systems theory; control (93-XX)
136 Information and communication theory, circuits (94-XX)
93 Biology and other natural sciences (92-XX)
69 Numerical analysis (65-XX)
69 Mechanics of particles and systems (70-XX)
38 Real functions (26-XX)
28 Partial differential equations (35-XX)
28 Statistics (62-XX)
25 Computer science (68-XX)
19 Difference and functional equations (39-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Fluid mechanics (76-XX)
15 Statistical mechanics, structure of matter (82-XX)
13 Operations research, mathematical programming (90-XX)
12 Geophysics (86-XX)
11 Probability theory and stochastic processes (60-XX)
8 Quantum theory (81-XX)
7 Measure and integration (28-XX)
7 Mechanics of deformable solids (74-XX)
6 Optics, electromagnetic theory (78-XX)
4 Combinatorics (05-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Classical thermodynamics, heat transfer (80-XX)
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3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
2 General and overarching topics; collections (00-XX)
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1 Astronomy and astrophysics (85-XX)

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