Abstract
The upsurge of discovering complex dynamics in simple chaotic systems is spring up in academia. This essay is devoted to investigating extreme multistability in a simple chaotic system. Here, only six terms with one nonlinearity form the mathematical model of this system and brings it infinitely many unstable equilibria. The unstable equilibria make the system possess the ability to yield extreme multistability, including various types of chaotic and periodic attractors. The dynamic behaviors, e.g. extreme multistability and total amplitude control are numerically studied. To verify the proposed system’s physical existence, an analog circuit and implementation utilizing the microcontroller is devised as well, where their outcomes perfectly matched with those of simulations.
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