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International Journal of Bifurcation and Chaos, ISSN 0218-1274, 04/2010, Volume 20, Issue 4, pp. 1209 - 1219
.... In this paper, we numerically study the bifurcations and chaotic behaviors in the fractional-order simplified Lorenz system using the time-domain scheme... 
Chaos | fractional-order calculus | simplified Lorenz system | bifurcations | time-domain methods | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | PREDICTOR-CORRECTOR APPROACH | FREQUENCY-DOMAIN APPROXIMATION
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2017, Volume 27, Issue 13, p. 1750207
.... Based on the negative damping instability mechanism and fractional calculus technique, this paper reports the onset of chaos in fractional order Lorenz system with periodic system parameters via... 
Bifurcation | Lorenz system | Chaotification | Fractional calculus | Lyapunov exponent | EXISTENCE | fractional calculus | STABILITY | MULTIDISCIPLINARY SCIENCES | MITTAG-LEFFLER LAWS | chaotification | DIFFERENTIAL-EQUATIONS | ATTRACTOR | bifurcation | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXPONENTIAL DECAY | DYNAMICS
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2/2016, Volume 83, Issue 3, pp. 1237 - 1246
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 11/2018, Volume 94, Issue 3, pp. 2115 - 2126
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 04/2012, Volume 22, Issue 4, pp. 1250088 - 1250088
Journal Article
中国物理B:英文版, ISSN 1674-1056, 2013, Volume 22, Issue 4, pp. 154 - 160
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2015, Volume 25, Issue 6, pp. 1550085 - 1-1550085-13
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 07/2018, Volume 28, Issue 8, p. 1850098
.... An explicit algorithm for a priori determination of fractional Hopf bifurcations is derived and scenarios documenting a route of the system from stability to chaos are performed with respect to a varying... 
fractional derivative | synchronization | chaos | asymptotic stability | Rössler dynamical system | fractional Hopf bifurcation | EXISTENCE | PERIODIC-SOLUTIONS | MULTIDISCIPLINARY SCIENCES | DIFFERENTIAL-EQUATIONS | LORENZ | Rossler dynamical system | CHEN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STABILITY ANALYSIS | DYNAMICAL-SYSTEMS | ROUTH-HURWITZ CONDITIONS | DERIVATIVES
Journal Article
Chinese Physics B, ISSN 1674-1056, 08/2009, Volume 18, Issue 8, pp. 3295 - 3303
The chaotic behaviours of a fractional-order generalized Lorenz system and its synchronization are studied in this paper... 
Chaos | Fractional-order generalized Lorenz chaotic system | Circuit simulation | Synchro-nization | chaos | fractional-order generalized Lorenz chaotic system | PHYSICS, MULTIDISCIPLINARY | circuit simulation | EQUATIONS | DYNAMICS | synchronization | HYPERCHAOS | REALIZATION | SCHEMES
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2/2014, Volume 75, Issue 3, pp. 589 - 602
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 10/2009, Volume 19, Issue 10, pp. 3329 - 3338
Journal Article
Energies, ISSN 1996-1073, 2018, Volume 11, Issue 5, p. 1183
.... In this study, a non-autonomous Chua's circuit was used to preprocess the grid signal after which a method based on the fractional Lorenz chaotic system and extension theory was used to analyze... 
Islanding | Extension theory | Chua's circuit | Fractional lorenz chaotic system | islanding | fractional Lorenz chaotic system | ENERGY & FUELS | TRANSFORMERS | extension theory | Chua’s circuit
Journal Article
Entropy, ISSN 1099-4300, 07/2017, Volume 19, Issue 7, p. 351
Journal Article
International Journal of Modern Physics B, ISSN 0217-9792, 03/2006, Volume 20, Issue 7, pp. 791 - 803
Chaos synchronization of the Duffing, Lorenz and Rössler systems with fractional orders are studied theoretically and numerically... 
Duffing system | Fractional order | Rössler system | Synchronization | Lorenz system | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | CHENS SYSTEM | synchronization | Rossler system | PHYSICS, MATHEMATICAL | fractional order
Journal Article