A new 3D chaotic system with golden proportion equilibria: Analysis and electronic circuit realization

This article introduces a new three-dimensional quadratic continuous autonomous chaotic system with golden proportion equilibria, which can generate single folded attractor. Some basic dynamical behaviors and the dynamical structure of the new chaotic system are investigated either analytically or numerically. Finally, the chaos generator of the new chaotic system was designed, simulated and experimentally confirmed via a novel electronic circuit design. A good qualitative agreement is illustrated between the simulations and the experimental results. It is convenient to use the new system to purposefully generate chaos in chaos applications. The new system has eight terms, two quadratic nonlinearities and two parameters (a and b). The new chaotic attractor equations have three equilibrium points and more interestingly the equilibrium points have golden proportion values.

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► We introduce a new 3-D autonomous chaotic system with golden proportion equilibria.
► We experimentally confirm the novel electronic circuit of the new chaotic system.
► We show a good qualitative agreement between the simulation and the experimental results.
► We investigate dynamical behaviors of the new system either analytically or numerically.