An autonomous chaotic and hyperchaotic oscillator using OTRA

Abstract

This research paper reports a novel design for third order chaotic and hyperchaotic oscillator with cubic nonlinearity using single operational trans-resistance amplifier (OTRA) and few passive elements. The key nonlinear dynamical characteristics in terms of sensitivity, divergence, equilibrium point and Lyapunov exponent are recorded in this literature. The operational activity of the proposed oscillator based on OTRA is integrated using 0.25 µm TSMC CMOS parameter. For the generation of hyperchaotic oscillator, an external capacitor is added to the third order chaotic oscillator. To justify the theoretical nonlinear dynamics of proposed chaotic oscillator, PSPICE simulation by using CMOS based OTRA and experimental investigation using IC AD844 based OTRA are well implemented.

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Correspondence to Ashish Ranjan.

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Joshi, M., Ranjan, A. An autonomous chaotic and hyperchaotic oscillator using OTRA. Analog Integr Circ Sig Process 101, 401–413 (2019). https://doi.org/10.1007/s10470-019-01395-0

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Keywords

  • Chaotic and hyperchaotic oscillator
  • Nonlinear dynamics
  • Nonlinear oscillator
  • Operational trans-resistance amplifier (OTRA)