Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design


Pham V.-T., Vaidyanathan S., Volos C., Jafari S., Alsaadi F.E., Alsaadi F.E.

Source title

Archives of Control Sciences

Publication year

We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap system displays chaotic attractors, which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.