Abstract
This article presents a new chaotic and hyperchaotic oscillator with a sine-hyperbolic nonlinearity term. The proposed 3D chaotic system generates chaotic flow within an unstable node equilibrium. In addition, an extension of the proposed chaotic circuit produces 4D hyperchaotic nature by including an external capacitor in the basic design. This hyperchaotic system generates chaotic flow with the line of equilibrium which has an unstable null equilibrium termed as a special case of multi-stability. The chaotic behavior of the proposed system is obtained by using essential dynamical properties and its practical feasibility can be demonstrated through Current Feedback Operational Amplifier (CFOA) with traditional electronic components. The proposed chaotic and hyperchaotic system have some important features namely simple model without multiplication terms, simple circuitry, multi-stability, minimum component count and sensitive with passive components that signifies the advantages for the signal processing circuit and its applications. On the other hand, various bifurcation sequences along with its typical time series chaotic responses are well observed through simulation and experimental verification that validates the proposed chaotic oscillator theory.
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