On a new asymmetric chaotic system

A new chaotic system is reported, which has asymmetry and non-similarity associated with its linearizing characteristics. Within a large range of parameters, the system has a very large positive Lyapunov exponent (LE) and an extremely small negative LE. Correspondingly, system orbits strongly expand in one direction but rapidly shrink in another direction. The expanding, shrinking, asymmetry and non-similarity of the system orbits increase its degrees of disorder and randomness. Bifurcation analysis further shows that the system has very rich bifurcations in different directions and extremely complicated dynamics. An electronic circuit of the new system has been built, which physically demonstrates the chaotic attractor in existence. Spectral analysis shows that the system in the chaotic mode has extremely broad-band frequencies, verifying its very strong randomness and indicating its good potential for technological applications.