Appendix B: Matlab Source Programs of Chaos Characteristic Analysis
Taking the simplified Lorenz system as an example, Matlab simulation programs are presented. First, the analysis method of integer-order system is introduced, including Runge–Kutta solving algorithm, Euler solving algorithm, Lyapunov exponents (LE) calculation, plotting phase diagram, bifurcation diagram, Poincaré section, and 0–1 test method. Second, the programs about solving and analyzing algorithm of the fractional-order chaotic system are designed, including frequency domain approach (Simulink simulation), Adams–Bashforth–Moulton approach, Adomian decomposition method, C0 complexity algorithm, and chaos diagram method. Finally, Matlab programs about chaotic synchronization ...
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