References
- G. Chen and T. Ueta. Yet another chaotic attractor. Int. J. Bifurcation Chaos, 9(7):1465–1466, 1999. http://dx.doi.org/10.1142/S0218127499001024.
- F. S. Dias, L. F. Mello and J. Zhang. Nonlinear analysis in a Lorenz–like system. Nonlinear Anal. Real World Appl., 11(5):3491–3500, 2010. http://dx.doi.org/10.1016/j.nonrwa.2009.12.010.
- F. Dumortier and H. Kokubu. Chaotic dynamics in ℤ2-equivariant unfoldings of codimension three singularities of vector fields in ℝ3. Ergodic Theory Dynam. Systems, 20(1):85–108, 2000. http://dx.doi.org/10.1017/S0143385700000067.
- Z. Elhadj. Dynamical analysis of a 3–D chaotic system with only two quadratic nonlinearities. J. System. Sci. Complexity, 21(1):67–75, 2008. http://dx.doi.org/10.1007/s11424-008-9067-0.
- H. Kokubu and R. Roussarie. Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences: Part I. J. Dynam. Differential Equations, 16(2):513–557, 2004. http://dx.doi.org/10.1007/s10884-004-4290-4.
- Y. A. Kuzenetsov. Elements of Applied Bifurcation Theory, third ed. Springer-Verlag, New York, 2004.
- X. Li and Q. Ou. Dynamical properties and simulation of a new Lorenz-like chaotic system. Nonlinear Dynam., 65(3):255–270, 2011. http://dx.doi.org/10.1007/s11071-010-9887-z.
- X. Li and H. Wang. Homoclinic and heteroclinic orbits and bifurcations of a new Lorenz-type system. Int. J. Bifurcation Chaos, 21(9):2695–2712, 2011. http://dx.doi.org/10.1142/S0218127411030039.
- X. Li and P. Wang. Hopf bifurcation and heteroclinic orbit in a 3D autonomous chaotic system. Nonlinear Dynam., 73(1–2):621–632, 2013.
- Y. Liu. Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the conjugate Lorenz-type system. Nonlinear Anal. Real World Appl., 13(6):2466–2475, 2012. http://dx.doi.org/10.1016/j.nonrwa.2012.02.011.
- Y. Liu, S. Pang and D. Chen. An unusual chaotic system and its control. Math. Comput. Model, 57(9):2473–2493, 2013. http://dx.doi.org/10.1016/j.mcm.2012.12.006.
- E. N. Lorenz. Deterministic nonperiodic flow. J. Atmos. Sci., 20(2):130–141, 1963. http://dx.doi.org/10.1175/1520-0469(1963)020¡0130:DNF¿2.0.CO;2.
- J. Lü and G. Chen. A new chaotic attractor coined. Int. J. Bifurcation Chaos, 12(3):659–661, 2002. http://dx.doi.org/10.1142/S0218127402004620.
- T. Matsumoto, M. Komuro, H. Kokubu and R. Tokunaga. Bifurcation – Sights, Sounds and Mathematics. Springer-Verlag, New York, 1993.
- M. Messias. Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system. J. Phys. A, 42(11):115101 (18 pp.), 2009. http://dx.doi.org/10.1088/1751-8113/42/11/115101.
- O. E. Rössler. An equation for continuous chaos. Phys. Lett. A, 57(5):397–398, 1976. http://dx.doi.org/10.1016/0375-9601(76)90101-8.
- Z. Wei and Q. Yang. Dynamics analysis of a new autonomous 3-D chaotic system only with stable equilibria. Nonlinear Anal. Real World Appl., 12(1):106–118, 2011. http://dx.doi.org/10.1016/j.nonrwa.2010.05.038.
- X. Xiong and J. Wang. Conjugate Lorenz-type chaotic attractors. Chaos Solitons Fractals, 40(2):923–929, 2009. http://dx.doi.org/10.1016/j.chaos.2007.08.087.
- Q. Yang and G. Chen. A unified Lorenz-type system and its canical form. Int. J. Bifurcation Chaos, 16(10):2855–2871, 2006. http://dx.doi.org/10.1142/S0218127406016501.
- Q. Yang, Z. Wei and G. Chen. An unusual 3D autonomous quadratic chaotic system with two stable node–foci. Int. J. Bifurcation Chaos, 20(4):1061–1083, 2010. http://dx.doi.org/10.1142/S0218127410026320.