References
- Anishchenko, V. S., Vladimir, A., Neiman, A., Vadivasova, T., Schimansky-Geier, L. ( 2007). Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments. 2nd ed. Berlin, Heidelberg: Springer-Verlag.
- Bashkirtseva, I., Ryashko, L. ( 2013). Stochastic sensitivity analysis of noise-induced intermittency and transition to chaos in one-dimensional discrete-time systems. Physica A 392:295–306.
- Beck, C. ( 1995). From the Perron-Frobenius equation to the Fokker-Planck equation. Journal of Statistical Physics 79:875–894.
- Chen, R., Tsay, R. S. ( 1993). Functional-coefficient autoregressive models. Journal of the American Statistical Association 88(421):298–308.
- Chen, S., Billings, S. A. ( 1989). Modeling and analysis of non-linear time series. International Journal of Control 50(6):2151–2171.
- Elhassanein, A. ( 2014). Complex dynamics of forced LSTAR model with delay. Dynamics of Continuous, Discrete and Impulsive Systems, Series A 21(6):435–447.
- Elhassanein, A. ( 2014a). Complex dynamics of a stochastic discrete modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting. Computational Ecology and Software 4:116–128.
- Elhassanein, A. ( 2015). Complex dynamics of a forced discretized version of the Mackey-Glass delay differential equation. Discrete and Continuous Dynamical Systems, Series B 20(1):93–105.
- Elhassanein, A. ( 2015a). Complex dynamics of logistic self-exciting threshold autoregressive model. Journal of Computational and Theoretical Nanoscience 12(4):542–548.
- Elhassanein, A. ( 2015b). On the control of forced process feedback nonlinear autoregressive model. Journal of Computational and Theoretical Nanoscience, 12(8):1519–1526.
- Engle, R. F. ( 1982). Autoregressive conditional heteroscedasticity with estimates of the variance of U.K. inflation. Econometrica 50(4):987–1007.
- Ghazal, M. A., Elhassanein, A. ( 2009). Dynamics of EXPAR models for high frequency data. International Journal of Applied Mathematics and Statistics 14(M09):88–96.
- Granger, C. W., Andersen, A. P. ( 1978). An Introduction To Bilinear Time Series Models. Gottingen: Vandenhoeck and Ruprecht.
- Haggan, V., Ozaki, T. ( 1981). Modeling nonlinear random vibration using an amplitude-dependent autoregressive time series model. Biometrika 68(1):189–196.
- Kaplan, J., Yorke, J. ( 1979). Chaotic Behavior of Multidimensional Difference Equations. Lecture Notes in Math. Berlin Heidelberg: Springer. (p. 730).
- Lasota, A., Mackey, M. C. ( 1985). Chaos, Fractals, and Noise. Stochastic Aspects of Dynamics. Cambridge: Cambridge University Press.
- Parks, P. C., Hahn, V. ( 1992). Stability Theory. New York: Prentice Hall.
- Tong, H. ( 1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press: Oxford.
- Tong, H., Lim, K. S. ( 1980). Threshold autoregressions, limit cycles, and data. Journal of the Royal Statistical Society: Series B 42:245–292.