Abstract
Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows various dynamics. The oscillator has eight equilibrium points, and none of them is stable. Various bifurcation diagrams of the oscillator are investigated, and its Lyapunov exponents (LEs) are discussed. The multistability of the oscillator is discussed by plotting bifurcation diagrams with various initiation methods. The basin of attraction of the oscillator is discussed in two planes. Impulsive control is applied to the oscillator to control its chaotic dynamics. Additionally, the circuit is implemented to reveal its feasibility.
Highlights
Chaotic flows have attracted lots of attention recently [1,2]
Investigating the oscillator has shown the existence of eight equilibrium points, and none of them are stable; 1D and 2D bifurcation diagrams were studied to investigate the various dynamics of the oscillator
The results have shown the rich dynamics of the oscillator
Summary
Dhinakaran Veeman 1 , Ahmad Alanezi 2, Hayder Natiq 3 , Sajad Jafari 4,5 and Ahmed A. Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
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