AUTHORS: Ryan D. Reas, Roxcella T. Reas, Joseph Karl G. Salva

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ABSTRACT: In this paper, the chaotic phenomena are outlined in a class of simple NRO (negative resistance oscillator) or NCO (negative conductance oscillator) equivalently. Compared to most chaotic electronic schemes encountered in nonlinear dynamic systems theory and practice, the proposed class of chaotic circuits consists of simple piecewise linear NRO/NCO, involving a minimum number of building components and dynamic states. The feasibility of relevant chaotic phenomena is proven from the existence of their Van Der Pol dynamic models according to the least square estimation principle. Then, despite the simplicity of the 2nd order NRO/NCO, a relevant parameterization strategy associated with virtual simulation techniques, are used as key exploration means for creating relevant chaotic phenomena. Therefore, new strange chaotic attractors with 2D/3D shapes are created and presented. Moreover, a comparative study with a sample of existing chaotic NRO/NCO schemes, show that the proposed class of chaotic NRO/NCO is optimal since it provides minimum building constituents and lower dynamic order, while offering a new palette of chaotic attractors with great topological strangeness.

KEYWORDS: - Negative resistance/conductance, nonlinear dynamic systems, oscillators, chaotic phenomena, strange chaotic attractors, topological strangeness, virtual simulation

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