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Experimental and numerical realization of chaotic phenomena in a simple-3d new autonomous nonlinear electronic circuit

Author:S. Manimaran, V. Balachandran and G. Kandiban

Abstract:
The simple third-order chaotic dynamics of a new autonomous oscillator circuit was studied by measuring its responsible in the form of phase-portrait, power spectrum and chaotic time series. The circuit consists of just three linear elements (two capacitors and one inductor), one linear negative conductance and cubic nonlinearity exhibiting the symmetrical piecewise-linear v-i characteristics. The power spectrums are presented to confirm the lower dimensions of strong chaotic nature of the oscillations of the circuit. The performance of the circuit is investigated by means of experimental and numerical confirmation of the appropriate differential equations. The features of the obtained results are respected for various engineering system such as chaos communication systems with robustness against various interferences.