[1] Lorenz, E., Deterministic nonperiodic flow, J. Atmospheric Sci., 20, 1963, 130-141.
[2] R¨ossler, O.E., An equation for continuous chaos, Phys. Lett. A, 57(5), 1976, 397-398.
[3] Ispolatov, I., Madhok, V., Allende, S., Doebeli, M., Chaos in high-dimensional dissipative dynamical systems, Scientific Reports, 5, 2015, 12506.
[4] Eilersen, A., Jensen, M.H., Sneppen, K., Chaos in disease outbreaks among prey, Scientific Reports, 10, 2020, Article 3907.
[5] Eftekhari, S.A., Jafari, A.A., Numerical simulation of chaotic dynamical systems by the method of differential quadrature, Scientia Iranica, 19(5), 2012, 1299–1315.
[6] Lozi, R., Pogonin, V.A., Pchelintsev, A.N., A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities, Chaos, Solitons and Fractals, 91, 2016, 108–114 .
[7] Odibat, Z.M., Bertelle, C., Aziz-Alaoui, M.A., Duchamp, G.H.E., A multi-step differential transform method and ap- plication to non-chaotic or chaotic systems, Computers and Mathematics with Applications, 59(4), 2010, 1462–1472.
[8] Zhou, X., Li, J., Wang, Y., Zhang, W., Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method, Complexity, 2019(1), 1–13.
[9] Abdulaziz, O., Noor, N.F.M., Hashim, I., Noorani M.S.M., Further accuracy tests on Adomian decomposition method for chaotic systems, Chaos Solitons Fractals, 36, 2008, 1405-1411.
[10] Alomari, A.K., Noorani, M.S.M., Nazar, R., Adaptation of homotopy analysis method for the numeric analytic solution of Chen system, Commun. Nonlinear Sci. Numer. Simul., 14, 2009, 2336-2346.
[11] Do, Y., Jang B., Enhanced multistage differential transform method: application to the population models, Abstr. Appl. Anal., 2012, 253890.
[12] Batiha, B:, Noorani, M.S.M., Hashim, I., Ismail, E.S., The multistage variational iteration method for a class of nonlinear system of ODEs, Phys. Scr., 76, 2007, 388-392.
[13] Chowdhury, M.S.H., Hashim, I., Momani, S., The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system, Chaos Solitons Fractals, 40, 2009, 1929-1937.
[14] Motsa, S.S., Dlamini, P., Khumalo, M., A new multistage spectral relaxation method for solving chaotic initial value systems, Nonlinear Dynam., 72, 2013, 265–283.
[15] Motsa, S.S., Dlamini, P.G., Khumalo, M., Solving hyperchaotic systems using the spectral relaxation method, Abstr. Appl. Anal., 2012, 1–18.
[16] Khan, M.S., Khan, M.I., A novel numerical algorithm based on Galerkin–Petrov time-discretization method for solving chaotic nonlinear dynamical systems, Nonlinear Dynam., 91(3), 2018, 1555–1569 .
[17] Motsa, S.S., A new piecewise-quasilinearization method for solving chaotic systems of initial value problems, Cent. Eur. J. Phys., 10(4), 2012, 936–946.
[18] Ghorbani, A., Saberi-Nadjafi, J., A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system, Math. Comput. Modelling, 54(1–2), 2011, 131–139.
[19] Karimi, M., Saberi Nik, H., A piecewise spectral method for solving the chaotic control problems of hyperchaotic finance system, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 31(3), 2018, 1–14.
[20] Mathale, D., Dlamini, P. G., Khumalo, M., Compact finite difference relaxation method for chaotic and hyperchaotic initial value systems, Computational and Applied Mathematics, 37(4), 2018, 5187–5202.
[21] Reiterer, P., Lainscsek, C., Sch, F., Maquet, J., A nine-dimensional Lorenz system to study high-dimensional chaos, J. Phys. A: Math. Gen., 31, 1998, 7121-7139.
[22] Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., Spectral Methods in Fluid Dynamics, Springer-Verlag, New York , 1988.
[23] Trefethen, L. N., Spectral Methods in MATLAB, SIAM, Philadelphia, Pa, USA, 2000.
[24] Trivedi, M., Otegbeye, O, Ansari, Md. S., Motsa S.S., A Paired Quasi-linearization on Magnetohydrodynamic Flow and Heat Transfer of Casson Nanofluid with Hall Effects, Journal of Applied and Computational Mechanics, 5(5), 2019, 849-860.
[25] Mondal, H., Bharti, S., Spectral Quasi-linearization for MHD Nanofluid Stagnation Boundary Layer Flow due to a Stretching/Shrinking Surface, Journal of Applied and Computational Mechanics, 6(4), 2020, 1058-1068.
[26] Kouagou J.N., Dlamini P.G., Simelane S.M., On the multi-domain compact finite difference relaxation method for high dimensional chaos: The nine-dimensional Lorenz system, Alexandria Engineering Journal, 59, 2020, 2617-2625.
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