@Article{Arecchi2003, author="F. T. Arecchi, R. Meucci, A. Di Garbo, E. Allaria", title=" Homoclinic chaos in a laser: synchronization and its implications in biological systems", journal="Opt. Lasers Eng.", year="2003", pages="293-304. ", volume="39" } @Article{Bhalekar2010, author="S. Bhalekar, V. Daftardar-Gejji", title="Synchronization of different fractional order chaotic systems using active control", journal=" Commun. Nonlinear Sci. Numer. Simulat.", year="2010", pages="3536-3546. ", volume="15" } @Article{Blasius1999, author="B. Blasius, A. Huppert, L. Stone", title="Complex dynamics and phase synchronization in spatially extended ecological systems", journal="Nature", year="1999", pages="354-359. ", volume="399" } @Article{Chen2011, author=" L. P. Chen, Y. Chai, R. C. Wu ", title="Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems ", journal="Phys. Lett. A", year="2011", pages=" 2099-2110. ", volume="375" } @Article{Deng2007, author="W. H. Deng, C. P. Li, J. H. Lü", title="Stability analysis of linear fractional differential system with multiple time delays", journal="Nonlinear Dynam.", year="2007", pages="409-416.", volume="48" } @Article{Diethelm2002, author=" K. Diethelm, N. J. Ford, A. D. Freed", title=" A predictor-corrector approch for the numerical solution of fractional differential equations", journal="Nonlinear Dynam.", year="2002", pages="3-22. ", volume="29" } @Article{Dimassi2011, author="H. Dimassi, A. Loria", title=" Adaptive unknown-input observers-based synchronization of chaotic systems for telecommunication", journal="IEEE Trans. Circuits Syst.-I Regul. Pap.", year="2011", pages=" 800-812.", volume="58" } @Article{Erjaee2008, author=" G. H. Erjaee, S. Momani ", title="Phase synchronization in fractional differential chaotic systems", journal="Phys. Lett. A", year="2008", pages="2350-2354. ", volume="372" } @Article{Grigorenko2003, author=" I. Grigorenko, E. Grigorenko ", title="Chaotic dynamics of the fractional Lorenz system", journal=" Phys. Rev. Lett.", year="2003", pages=" 4 pages.", volume="91" } @Article{Hegazi2013, author=" A. S. Hegazi, E. Ahmed, A. E. Matouk", title="On chaos control and synchronization of the commensurate fractional order Liu system", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2013", pages="1193-1202. ", volume="18" } @Article{Iu2000, author="H. H. C. Iu, C. K. Tse", title="A study of synchronization in chaotic autonomous Cuk DC/DC converters", journal=" IEEE Trans. Circuits Syst. I: Fundam. Theory Appl.", year="2000", pages="913-918. ", volume="47" } @Article{Jiang2014, author=" C. M. Jiang, S. T. Liu, C. Luo ", title="A new fractional-order chaotic complex system and its antisynchronization", journal=" Abstr. Appl. Anal.", year="2014", pages="12 pages. ", volume="2014" } @Article{Jiang2015, author="C. M. Jiang, S. T. Liu, D. Wang", title="Ceneralized combination complex synchronization for fractional-order chaotic complex systems", journal="Entropy", year="2015", pages="5199-5217. ", volume="17" } @Article{Jiang2017, author=" C. M. Jiang, S. T. Liu, F. F. Zhang", title="Complex modified projective synchronization for fractional-order chaotic complex systems", journal=" Int. J. Autom. Comput.", year="2017", pages="1-13", volume="" } @Book{Kilbas2006, author="A. A. Kilbas, H. M. Srivastava, J. J. Trujillo", title="Theory and applications of fractional differential equations", year="2006", publisher="North-Holland Mathematics Studies, vol. 204, Elsevier Science B. V.", address="Amsterdam" } @Article{Kim2003, author="C.-M. Kim, S. Rim, W.-H. Kye, J.-W. Ryu, Y.-J. Park", title="Anti-synchronization of chaotic oscillators", journal=" Phys. Lett. A", year="2003", pages="39-46. ", volume="320" } @Article{Li2004, author="C. G. Li, G. R. Chen", title=" Chaos in the fractional order Chen system and its control", journal="Chaos, Solitons Fractals", year="2004", pages="549-554. ", volume="22" } @Article{Li2004, author="C. G. Li, G. R. Chen", title="Chaos and hyperchaos in the fractional-order Rössler equations", journal="Phys. A", year="2004", pages="55-61. ", volume="341" } @Article{Li2004, author=" C. D. Li, X. F. Liao", title="Lag synchronization of Rössler system and Chua circuit via a scalar signal", journal=" Phys. Lett. A", year="2004", pages="301-308.", volume="329" } @Article{Liu2014, author=" J. Liu", title="Complex modifed hybrid projective synchronization of different dimensional fractional-order complex chaos and real hyper-chaos ", journal="Entropy", year="2014", pages="6195-6211. ", volume="16" } @Article{Liu2014, author="X. J. Liu, L. Hong, L. X. Yang", title="Fractional-order complex T system: bifurcations, chaos control, and synchronization", journal="Nonlinear Dynam.", year="2014", pages="589-602. ", volume="75" } @Article{Liu2015, author=" P. Liu, H. J. Song, X. Li", title="Observe-based projective synchronization of chaotic complex modified Van der Pol-Duffing oscillator with application to secure communication", journal=" ASME J. Comput. Nonlinear Dynam.", year="2015", pages=" 7 pages. ", volume="10" } @Article{Liu2014, author="S. T. Liu, F. F. Zhang", title="Complex function projective synchronization of complex chaotic system and its applications in secure communications", journal=" Nonlinear Dynam. ", year="2014", pages="1087-1097.", volume="76" } @Article{Lu2005, author=" J. Q. Lu, J. D. Cao", title="Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters", journal="Chaos", year="2005", pages=" 10 pages. ", volume="15" } @Article{Luo2013, author="C. Luo, X. Y. Wang", title="Chaos in the fractional-order complex Lorenz system and its synchronization", journal=" Nonlinear Dynam.", year="2013", pages=" 241-257. ", volume="71" } @Article{Luo2013, author=" C. Luo, X. Y. Wang", title=" Chaos generated from the fractional-order complex Chen system and its application to digital secure communication", journal=" Int. J. Modern Phys. C", year="2013", pages=" 23 pages. ", volume="24" } @Article{Luo2011, author="R. Z. Luo, Y. L. Wang, S. C. Deng", title=" Combination synchronization of three classic chaotic systems using active backstepping design", journal="Chaos", year="2011", pages="6 pages. ", volume="21" } @Article{Mahmoud2016, author="G. M. Mahmoud, T. M. Abed-Elhameed, M. E. Ahmed", title="Generalization of combination-combination synchronization of chaotic n-dimensional fractional-orer dynamical systems", journal="Nonlinear Dynam.", year="2016", pages="1885-1893. ", volume="83" } @Article{Mahmoud2013, author="G. M. Mahmoud, E. E. Mahmoud, A. A. Arafa", title=" On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communictations", journal=" Phys. Scr.", year="2013", pages="10 pages. ", volume="87" } @Article{Mainieri1999, author="R. Mainieri, J. Rehacek", title="Projective synchronization in three-dimensional chaotic systems", journal="Phys. Rev. Lett.", year="1999", pages="3042-3045. ", volume="82" } @Book{Matignon1996, author="D. Matignon", title="Stability results for fractional differential equations with applications to control processing", year="1996", publisher=" In: IMACS, IEEE-SMC, Lille ", address="France" } @Article{Mohammad2013, author=" P. A. Mohammad, P. A. Hasan", title="Robust synchronization of a chaotic mechanical system with nonlinearities in control inputs", journal=" Nonlinear Dynam.", year="2013", pages="363-376. ", volume="73" } @Article{Pecora1990, author="L. M. Pecora, T. L. Caroll ", title="Synchronization in chaotic systems", journal=" Phys. Rev. Lett.", year="1990", pages=" 821-824. ", volume="64" } @Article{Rosenblum1996, author="M. G. Rosenblum, A. S. Pikovsky, J. Kurths", title=" Phase synchronization of chaotic oscillators", journal="Phys. Rev. Lett.", year="1996", pages="1804-1807. ", volume="76" } @Article{Srivastava2014, author=" M. Srivastava, S. P. Ansari, S. K. Agrawal, S. Das, A. Y. T. Leung", title="Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method", journal="Nonlinear Dynam.", year="2014", pages="905-914. ", volume="76" } @Article{Sun2015, author="J. W. Sun, G. Z. Cui, Y. F. Wang, Y. Shen", title="Combination complex synchronization of three chaotic complex systems", journal=" Nonlinear Dynam.", year="2015", pages="953-965. ", volume="79" } @Article{Sun2014, author="J. W. Sun, Y. Shen, Y. Quan, C. J. Xu", title=" Compound synchronization for four memristor chaotic oscillator systems and secure communication", journal="Chaos", year="2014", pages="10 pages. ", volume="23" } @Article{Sun2013, author=" J. W. Sun, Y. Shen, G. D. Zhang, C. J. Xu, G. Z. Cui", title="Combination-combination synchronization among four identical or different chaotic systems", journal="Nonlinear Dynam.", year="2013", pages=" 1211-1222. ", volume="73" } @Article{Tavazoei2008, author=" M. S. Tavazoei, M. Haeri", title="Synchronization of chaotic fractional-order systems via active sliding mode controller", journal="Phys. A", year="2008", pages="57-70.", volume="387" } @Article{Wang2016, author="L. Wang, B. Yang, Y. Chen, X. Q. Zhang, J. Orchard", title="Improving Neural-Network classifiers using nearest neighbor partitioning", journal=" IEEE Trans. Neural Netw. Learn. Syst.", year="2016", pages="2255 - 2267", volume="28" }