Abstract
This paper proposes a simple autonomous memristor-based oscillator for generating periodic signals. Applying an external sinusoidal excitation to the autonomous system, a nonautonomous oscillator is obtained, which contains HP memristor model and four linear circuit elements. This memristor-based oscillator can generate periodic, chaotic, and hyperchaotic signals under the periodic excitation and an appropriate set of circuit parameters. It also shows that the system exhibits alternately a hidden attractor with no equilibrium and a self-excited attractor with a line equilibrium as time goes on. Furthermore, some specialties including burst chaos, irregular periodic bifurcations, and nonintermittence chaos of the circuit are found by theoretical analysis and numerical simulations. Finally, a discrete model for the HP memristor is given and the main statistical properties of this memristor-based oscillator are verified via DSP chip experiments and NIST (National Institute of Standards and Technology) tests.
Highlights
A memristor is a two-terminal circuit element, which was defined by Chua in 1971 [1]
The first memristor oscillator with piecewise linear (PWL) φ-q characteristics was proposed by Itoh and Chua [10], which was obtained from Chua’s circuit
Some new properties, which are different from conventional chaos, such as equilibrium set, transient chaos, and stable chaos with an intermittence period, are found
Summary
A memristor is a two-terminal circuit element, which was defined by Chua in 1971 [1]. Some other memristor oscillators based on Chua’s circuit are proposed, using diverse memristor models with the q-φ nonlinearities: q(φ) = aφ + bφ3 [13] In these studies, some new properties, which are different from conventional chaos, such as equilibrium set, transient chaos, and stable chaos with an intermittence period, are found. In [11], a new chaotic system, based on the flux-controlled memductance model of the HP TiO2 memristor and Chua’s circuit, is designed. In order to generate more complex pseudorandom signals, this paper designs a nonautonomous oscillator using the mathematical model of flux-controlled memristor, which can generate periodic signals, chaotic and hyperchaotic signals, exhibiting more complex dynamics. DSP can adapt to practical applications of both chaotic PN sequence generation and chaotic information encryption/decryption processing To this end, a discrete model of HP memristor is given first
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