Journal
NONLINEAR DYNAMICS
Volume 91, Issue 2, Pages 957-974Publisher
SPRINGER
DOI: 10.1007/s11071-017-3921-3
Keywords
Memcapacitor; Bifurcation; Bicoherence; Fractional order; Circuit implementation; FPGA; RNG design
Categories
Funding
- Sakarya University Scientific Research Projects Unit [2016-09-00-008, 2016-50-01-026]
- Iran National Science Foundation [96000815]
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A novel charge-controlled memcapacitor 3D chaotic oscillator with two unstable equilibriums is proposed. Various dynamic properties of the proposed system are derived and investigated to show the existence of chaotic oscillations. Fractional-order analysis of the chaotic oscillator shows that the maximum value for the largest positive Lyapunov exponent is exhibited in fractional order. Adomian decomposition method is used to discretize the fractional-order system. Field-programmable gate arrays are used to realize the proposed oscillator. In addition, random number generator is designed by employing this novel chaotic system in its fractional-order form.
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