Chaotic dynamics in memristive circuits

Iarosz, Kelly C.; Gabrick, Enrique C.; Trobia, José; Borges, Rafael R.; Protachevicz, Paulo R.; Bonetti, Robson C.; de Souza, Silvio L.T.; Batista, Gabriel L.; Szezech Jr., José D.; Caldas, Iberê L.; Batista, Antonio M.

doi:10.1590/1806-9126-rbef-2023-0116

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“…In Fig . (6) the effect of alpha with voltages across the capacitor is discussed as in previous works [20], as it is clear from the drawing that the circuit is characterized by a rich dynamic behavior, starting with periodic, then chaotic regions interspersed with the coexistence of different patterns, until it reaches the value 1 when α Which leads to the repetition of the basic behavior of the double periodicity, and then the periodicity.…”

Section: Modified Memristor Muthuswamy Circuitmentioning

confidence: 99%

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Study of the dynamic properties of chaotic circuits in the presence of memristors

Kareem,

Husseini

2024

Preprint

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This paper first discusses a memristor model based on a multi-segment linear function with three different circuits. Then, based on the different values of the parameters of the memristors introduced, the dynamic behavior of these circuits is analyzed in terms of bifurcations, coexisting attractors, and complexity. Bifurcation analysis reveals the rich dynamic behavior of these circuits, including period-doubling bifurcations, bursts of chaos, and transients of chaos. The Muthuswamy exhibit dynamic phenomena including coexisting attractors, multistability, and super multistability under different initial conditions. Moreover, circuit simulation is used to confirm the existence and feasibility of the Chua circuit. Coexisting attractor’s generation circuits that can alter the initial values of arbitrary state variables are designed. The advantages of the proposed system are illustrated by comparisons with other chaotic attractors, which include controllable attracter number and direction, straightforward implementation circuits, and rich dynamic behavior. Lastly, the Colpitts circuit, which contains the BTJ transistor and becomes steadier when a memristor is substituted for it, as well as the coexistence of multiple chaotic attractors, end up being more stable. Simulation results indicate that the three proposed circuit schemes in this paper require less time to achieve complete dynamics than other circuit schemes. This feature improves the suggested circuit strategy's effectiveness and usability in practical applications.

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Section: Modified Memristor Muthuswamy Circuitmentioning

confidence: 99%

“…In 1918, Colpitts [20] invented a type of resonant circuit that used a combination of capacitors and inductors. The oscillation frequency can be adjusted from a few Hertz to 109 Hertz (microwave range).There is numerical and experimental evidence for the periodic and chaotic behavior of this circuit [24 , 25].…”

Section: Modified Memristor Colpitts Circuitmentioning

confidence: 99%

Study of the dynamic properties of chaotic circuits in the presence of memristors

Kareem,

Husseini

2024

Preprint

View full text Add to dashboard Cite

show abstract

Chaotic dynamics in memristive circuits

Cited by 1 publication

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Study of the dynamic properties of chaotic circuits in the presence of memristors

Study of the dynamic properties of chaotic circuits in the presence of memristors

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