Amplitude linear-adjustable chaotic signal generator with invariant dynamics

By introducing a global amplitude adjustable parameter to a chaotic system with Jerk equation form, a chaotic signal generator with dynamic amplitude linear-adjustable is proposed and realized in this paper. Theoretical analysis and numerical simulation results show that with the variation of the amplitude adjustable parameter, the dynamic range of the chaotic attractor generated by this generator is changed linearly and has identical dynamics, i.e., invariant Lyapunov exponent spectrum. An experimental chaotic signal generator is designed. The experimental results well verify the analysis and numerical simulation results.