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Stability and Hopf Bifurcation in a Modified Sprott C System


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ÇELIK, C.: The stability and Hopf bifurcation for a predator–prey system with time delay, Chaos, Solitons and Fractals 37 (2008), 87–99. Search in Google Scholar

DONG, E.—YU, H.—TONG, J.—WANG, Z.: Divergence measure on a modified Sprott C system, IEEE Access 9 (2021), 88959–88969. Search in Google Scholar

GUCKENHEIMER, J.—HOLMES, P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Vol. 42. Springer Science and Business Media, New York, 1st edition, 2013. Search in Google Scholar

HASSARD, B. D.—KAZARINOFF, N. D.—WAN, Y.-H.—WAN, Y. W.: Theory and Applications of Hopf Bifurcation. In: Lecture Notes Series Vol. 41. Cambridge University Press, Cambridge-New York, 1981. Search in Google Scholar

HAYNES, R. D.: Invariant Manifolds of Dynamical Systems: Theory and Computation. Master’s Thesis, Simon Fraser University (Canada), 1999. Search in Google Scholar

JIANG, B.—HAN, X.—BI, Q.: Hopf bifurcation analysis in the T system, Nonlinear Analysis: Real World Applications 11 (2010), 522–527. Search in Google Scholar

LYNCH, S.: Dynamical Systems With Applications Using MATLAB. Springer Science and Business Media, Boston Birkh¨auser, 2004. Search in Google Scholar

MIRKHAN, J. M.—AMEN, A. I.: Bifurcation analysis for Shil’nikov chaos electro-dissolution of Copper, Zanco Journal of Pure and Appl. Sci. 34 (2022), 83–91. http://dx.doi.org/10.21271/ZJPAS.34.4.9 Search in Google Scholar

MOIOLA, J. L.—CHEN, G.: Hopf Bifurcation Analysis. A Frequency Domain Approach. World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, Vol 21. World Scientific Publishing Co., Inc., River Edge, NJ, 1996. Search in Google Scholar

MOTA, M.C.—OLIVEIRA, R.D.D.S.: Dynamic aspects of Sprott BC chaotic system, Discrete Contin. Dyn. Syst.: Ser. B 26 (2021), no. 3, 1653–1673. Search in Google Scholar

PLAAT, O.: Ordinary Differential Equations. Holden-Day, Ine, United States of America, 1971. Search in Google Scholar

SARMAH, H. K.—DAS, M. C.—BAISHYA, T. K.: Hopf bifurcation in a chemical model, International Journal for Innovative Research in Science and Technology 1 (2015), no. 9, 23–33. Search in Google Scholar

SPROTT, J. C.: A new class of chaotic circuit, Physics Letters A 266 (2000), 19–23. Search in Google Scholar

SPROTT, J. C.: Some simple chaotic flows,Phys. Rev. E.(3) 50 (1994), no.2, part A, R 647–R 650. Search in Google Scholar

SPROTT, J.: Simplest dissipative chaotic flow, Physics Letters A 228 (1997), 271–274. Search in Google Scholar

WEI, Z.—YANG, Q.: Dynamical analysis of the generalized Sprott C system with only two stable equilibria, Nonlinear Dynamics 68 (2012), 543–554. Search in Google Scholar

WOUAPI, K.—FOTSIN, B. H.—FEUDJIO, K. F.—NJITACKE, T. Z.: Hopf bifurcation, offset boosting and remerging Feigenbaum trees in an autonomous chaotic system with exponential nonlinearity, SN Applied Sciences 1 (2019), 1–22. Search in Google Scholar

YU, Y.—ZHANG, S.: Hopf bifurcation in the Lüsystem, Chaos, Solitons and Fractals 17 (2003), 901–906. https://scholar.google.com/scholar?hl=sk&as_sdt=0%2C5&q=Hopf+bifurcation+in+the+L%7B%5C%22u%7D+system+2003&btnG= Search in Google Scholar

ZHOU, X.—WU, Y.—LI, Y.—WEI, Z.: Hopf bifurcation analysis of the Liu system, Chaos, Solitons and Fractals 36 (2008), 1385–1391. https://www.sciencedirect.com/science/article/pii/S0960077906008149 Search in Google Scholar

eISSN:
1338-9750
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics