Arafa, Ayman A.; Xu, Yong; Mahmoud, Gamal M. Chaos suppression via integrative time delay control. (English) Zbl 07281772 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2050208, 18 p. (2020). MSC: 34K35 34A34 34H10 34K20 34K18 PDF BibTeX XML Cite \textit{A. A. Arafa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2050208, 18 p. (2020; Zbl 07281772) Full Text: DOI
Mahmoud, Gamal M.; Aboelenen, Tarek; Abed-Elhameed, Tarek M.; Farghaly, Ahmed A. Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization. (English) Zbl 1430.34007 Nonlinear Dyn. 97, No. 1, 413-429 (2019). MSC: 34A08 34D06 26A33 34C28 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Nonlinear Dyn. 97, No. 1, 413--429 (2019; Zbl 1430.34007) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E.; Arafa, Ayman A. Synchronization of time delay systems with non-diagonal complex scaling functions. (English) Zbl 1392.93019 Chaos Solitons Fractals 111, 86-95 (2018). MSC: 93C23 34K35 34K60 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Chaos Solitons Fractals 111, 86--95 (2018; Zbl 1392.93019) Full Text: DOI
Mahmoud, G. M.; Ahmed, M. E. Analysis of chaotic and hyperchaotic conservative complex nonlinear systems. (English) Zbl 1399.34112 Miskolc Math. Notes 18, No. 1, 316-326 (2017). MSC: 34C28 34A34 37D45 34D08 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{M. E. Ahmed}, Miskolc Math. Notes 18, No. 1, 316--326 (2017; Zbl 1399.34112) Full Text: DOI
Mahmoud, Gamal M.; Arafa, Ayman A.; Abed-Elhameed, Tarek M.; Mahmoud, Emad E. Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control. (English) Zbl 1380.93120 Chaos Solitons Fractals 104, 680-692 (2017). MSC: 93B52 93C23 34H10 34K23 34K37 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Chaos Solitons Fractals 104, 680--692 (2017; Zbl 1380.93120) Full Text: DOI
Mahmoud, Gamal M.; Farghaly, Ahmed A. M.; Shoreh, A. A.-H. A technique for studying a class of fractional-order nonlinear dynamical systems. (English) Zbl 1373.34011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 9, Article ID 1750144, 11 p. (2017). MSC: 34A08 34C28 34D08 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 9, Article ID 1750144, 11 p. (2017; Zbl 1373.34011) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E.; Arafa, Ayman A. Projective synchronization for coupled partially linear complex-variable systems with known parameters. (English) Zbl 1366.34072 Math. Methods Appl. Sci. 40, No. 4, 1214-1222 (2017). MSC: 34D06 94A14 34H10 34C28 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Math. Methods Appl. Sci. 40, No. 4, 1214--1222 (2017; Zbl 1366.34072) Full Text: DOI
Mahmoud, Gamal M.; Abed-Elhameed, Tarek M.; Ahmed, Mansour E. Generalization of combination-combination synchronization of chaotic \(n\)-dimensional fractional-order dynamical systems. (English) Zbl 1353.34060 Nonlinear Dyn. 83, No. 4, 1885-1893 (2016). MSC: 34D06 34A08 34C28 37D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Nonlinear Dyn. 83, No. 4, 1885--1893 (2016; Zbl 1353.34060) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E.; Arafa, Ayman A. On modified time delay hyperchaotic complex Lü system. (English) Zbl 1345.34124 Nonlinear Dyn. 80, No. 1-2, 855-869 (2015). MSC: 34K23 37D45 34D06 34K60 37M05 37F99 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Nonlinear Dyn. 80, No. 1--2, 855--869 (2015; Zbl 1345.34124) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E.; Arafa, Ayman A. Passive control of \(n\)-dimensional chaotic complex nonlinear systems. (English) Zbl 1358.34069 J. Vib. Control 19, No. 7, 1061-1071 (2013). MSC: 34H10 93C10 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., J. Vib. Control 19, No. 7, 1061--1071 (2013; Zbl 1358.34069) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Complex modified projective synchronization of two chaotic complex nonlinear systems. (English) Zbl 1281.34074 Nonlinear Dyn. 73, No. 4, 2231-2240 (2013). MSC: 34C28 34D06 34D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Nonlinear Dyn. 73, No. 4, 2231--2240 (2013; Zbl 1281.34074) Full Text: DOI
Mahmoud, Gamal M.; Ahmed, Mansour E. A hyperchaotic complex system generating two-, three-, and four-scroll attractors. (English) Zbl 1348.37058 J. Vib. Control 18, No. 6, 841-849 (2012). MSC: 37D45 34D08 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{M. E. Ahmed}, J. Vib. Control 18, No. 6, 841--849 (2012; Zbl 1348.37058) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Lag synchronization of hyperchaotic complex nonlinear systems. (English) Zbl 1243.93044 Nonlinear Dyn. 67, No. 2, 1613-1622 (2012). MSC: 93C10 93C15 93D99 34D06 34H10 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Nonlinear Dyn. 67, No. 2, 1613--1622 (2012; Zbl 1243.93044) Full Text: DOI
Mahmoud, Gamal Adaptive synchronization of two different \(n\)-dimensional chaotic complex nonlinear systems with fully uncertain parameters. (English) Zbl 1235.93137 Am. Acad. Sch. Res. J. 4, No. 1, Spec. Issue, 79-94 (2012). MSC: 93C40 93D05 34H10 PDF BibTeX XML Cite \textit{G. Mahmoud}, Am. Acad. Sch. Res. J. 4, No. 1, 79--94 (2012; Zbl 1235.93137) Full Text: Link
Mahmoud, Gamal M. On chaotic and hyperchaotic complex nonlinear dynamical systems. (English) Zbl 1269.34050 Zeraoulia, Elhadj (ed.) et al., Frontiers in the study of chaotic dynamical systems with open problems. Hackensack, NJ: World Scientific (ISBN 978-981-4340-69-4/hbk; 978-981-4340-70-0/ebook). World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings 16, 59-84 (2011). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34C28 34D06 34H10 34D08 34D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud}, World Sci. Ser. Nonlinear Sci., Ser. B., Spec. Theme Issues Proc. 16, 59--84 (2011; Zbl 1269.34050) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Modified projective lag synchronization of two nonidentical hyperchaotic complex nonlinear systems. (English) Zbl 1248.34080 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2369-2379 (2011). MSC: 34D06 34C28 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2369--2379 (2011; Zbl 1248.34080) Full Text: DOI
Mahmoud, Gamal M.; Ahmed, Mansour E.; Sabor, Nabil On autonomous and nonautonomous modified hyperchaotic complex Lü systems. (English) Zbl 1248.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 7, 1913-1926 (2011). MSC: 34C28 34D45 34C23 34D08 37D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 7, 1913--1926 (2011; Zbl 1248.34053) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. (English) Zbl 1215.93114 Nonlinear Dyn. 62, No. 4, 875-882 (2010). MSC: 93C95 37D45 34H10 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Nonlinear Dyn. 62, No. 4, 875--882 (2010; Zbl 1215.93114) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems. (English) Zbl 1204.93096 Nonlinear Dyn. 61, No. 1-2, 141-152 (2010). MSC: 93D15 34C28 37D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Nonlinear Dyn. 61, No. 1--2, 141--152 (2010; Zbl 1204.93096) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E. Synchronization and control of hyperchaotic complex Lorenz system. (English) Zbl 1195.93060 Math. Comput. Simul. 80, No. 12, 2286-2296 (2010). MSC: 93C15 34H10 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{E. E. Mahmoud}, Math. Comput. Simul. 80, No. 12, 2286--2296 (2010; Zbl 1195.93060) Full Text: DOI
Mahmoud, G. M.; Ahmed, M. E.; Mahmoud, E. E. On the hyperchaotic complex Lü system. (English) Zbl 1183.37062 Skiadas, Christos H. (ed.) et al., Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3–6 June 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4271-33-2/hbk). 224-231 (2009). MSC: 37D45 37N35 93B52 34C28 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., in: Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3--6 June 2008. Hackensack, NJ: World Scientific. 224--231 (2009; Zbl 1183.37062)
Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A. Dynamical properties and synchronization of complex non-linear equations for detuned lasers. (English) Zbl 1172.34033 Dyn. Syst. 24, No. 1, 63-79 (2009). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34C60 78A60 34C25 34C27 34C28 34D05 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Dyn. Syst. 24, No. 1, 63--79 (2009; Zbl 1172.34033) Full Text: DOI
Mahmoud, Gamal M.; Al-Kashif, M. A.; Farghaly, A. A. Chaotic and hyperchaotic attractors of a complex nonlinear system. (English) Zbl 1131.37036 J. Phys. A, Math. Theor. 41, No. 5, Article ID 055104, 12 p. (2008). MSC: 37D45 37C10 34C28 34C25 34C08 34D45 28A78 93D15 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., J. Phys. A, Math. Theor. 41, No. 5, Article ID 055104, 12 p. (2008; Zbl 1131.37036) Full Text: DOI
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. Active control and global synchronization of the complex Chen and Lü systems. (English) Zbl 1146.93372 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 12, 4295-4308 (2007). MSC: 93D20 34C28 34D45 37N35 37D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 12, 4295--4308 (2007; Zbl 1146.93372) Full Text: DOI
Mahmoud, Gamal M.; Mahmoud, Emad E.; Ahmed, Mansour E. A hyperchaotic complex Chen system and its dynamics. (English) Zbl 1136.37327 Int. J. Appl. Math. Stat. 12, No. D07, 90-100 (2007). MSC: 37D45 37C10 37G99 34C28 34C25 34C27 34D20 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Int. J. Appl. Math. Stat. 12, No. D07, 90--100 (2007; Zbl 1136.37327)
Mahmoud, Gamal M.; Bountis, Tassos The dynamics of systems of complex nonlinear oscillators: a review. (English) Zbl 1091.34524 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 11, 3821-3846 (2004). MSC: 34C15 37C99 37D45 70K99 93C10 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{T. Bountis}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 11, 3821--3846 (2004; Zbl 1091.34524) Full Text: DOI
Xu, Yong; Xu, Wei; Mahmoud, Gamal M. Responses of coupled Duffing’s equations with random excitation. (English) Zbl 1050.34080 Int. J. Differ. Equ. Appl. 7, No. 4, 415-442 (2003). MSC: 34F05 34C15 60H40 PDF BibTeX XML Cite \textit{Y. Xu} et al., Int. J. Differ. Equ. Appl. 7, No. 4, 415--442 (2003; Zbl 1050.34080)
Mahmoud, G. M.; Farghaly, A. A. M. Stabilization of unstable periodic attractors of complex damped nonlinear dynamical systems. (English) Zbl 1098.70527 Chaos Solitons Fractals 17, No. 1, 105-112 (2003). MSC: 70K40 93D15 34C28 37D45 PDF BibTeX XML Cite \textit{G. M. Mahmoud} and \textit{A. A. M. Farghaly}, Chaos Solitons Fractals 17, No. 1, 105--112 (2003; Zbl 1098.70527) Full Text: DOI
Mahmoud, Gamal M.; Bountis, Tassos; Ahmed, Sayed A. On the stability analysis of strongly nonlinear coupled Hill’s equations. (English) Zbl 1051.34041 Int. J. Differ. Equ. Appl. 4, No. 4, 437-465 (2002). Reviewer: Ming-Chia Ling (Changhua) MSC: 34D10 34C25 34E13 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Int. J. Differ. Equ. Appl. 4, No. 4, 437--465 (2002; Zbl 1051.34041)
Mahmoud, G. M.; Bountis, T.; Ahmed, S. A. Stability analysis for systems of nonlinear Hill’s equations. (English) Zbl 1053.34518 Physica A 286, No. 1-2, 133-146 (2000). MSC: 34K20 70F07 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Physica A 286, No. 1--2, 133--146 (2000; Zbl 1053.34518) Full Text: DOI
Mahmoud, Gamal M. Periodic solutions of strongly nonlinear Mathieu oscillators. (English) Zbl 0883.34049 Int. J. Non-Linear Mech. 32, No. 6, 1177-1185 (1997). MSC: 34C25 78A35 34C29 PDF BibTeX XML Cite \textit{G. M. Mahmoud}, Int. J. Non-Linear Mech. 32, No. 6, 1177--1185 (1997; Zbl 0883.34049) Full Text: DOI
Mahmoud, Gamal M. Analytical approach for the solutions of nonlinear coupled second order systems. (English. Arabic summary) Zbl 1191.34049 Bull. Fac. Sci., C, Math., Assiut Univ. 23, No. 1, 1-13 (1994). MSC: 34C15 34A34 PDF BibTeX XML Cite \textit{G. M. Mahmoud}, Bull. Fac. Sci., C, Math., Assiut Univ. 23, No. 1, 1--13 (1994; Zbl 1191.34049)
Mahmoud, G. M. On the generalized averaging method of a class of strongly nonlinear forced oscillators. (English) Zbl 0803.34034 Physica A 199, No. 1, 87-95 (1993). MSC: 34C29 34C15 34C25 70K40 PDF BibTeX XML Cite \textit{G. M. Mahmoud}, Physica A 199, No. 1, 87--95 (1993; Zbl 0803.34034) Full Text: DOI
Mahmoud, Gamal M. On periodic orbits of nonlinear dynamical systems with many degrees of freedom. (English) Zbl 0776.34033 Physica A 181, No. 3-4, 385-395 (1992). MSC: 34C25 70K40 34C15 34C29 34A45 PDF BibTeX XML Cite \textit{G. M. Mahmoud}, Physica A 181, No. 3--4, 385--395 (1992; Zbl 0776.34033) Full Text: DOI