A new chaotic dynamical system with a hyperbolic curve of rest points, its complete synchronisation via integral sliding mode control and circuit design

摘要

A new 3-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has a hyperbola of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. The new nonlinear plant shows multi-stability and coexisting attractors. Synchronisation result of the new nonlinear plant with itself is achieved using integral sliding mode control (ISMC). Finally, a circuit model using MultiSim of the new 3-D nonlinear plant with chaos is carried out for practical use.