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• W2896476675 abstract "A technique to generate (periodic or nonperiodic) oscillations systematically in first-order, continuous-time systems via a nonlinear function of the state, delayed by a certain time <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:math>, is proposed. This technique consists in choosing a nonlinear function of the delayed state with some passivity properties, tuning a gain to ensure that all the equilibrium points of the closed-loop system be unstable, and then imposing conditions on the closed-loop system to be semipassive. We include several typical examples to illustrate the effectiveness of the proposed technique, with which we can generate a great variety of chaotic attractors. We also include a physical example built with a simple electronic circuit that, after applying the proposed technique, displays a similar behavior to the logistic map." @default.
• W2896476675 created "2018-10-26" @default.
• W2896476675 creator A5034022282 @default.
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• W2896476675 date "2018-10-18" @default.
• W2896476675 modified "2023-10-17" @default.
• W2896476675 title "Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback" @default.
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• W2896476675 doi "https://doi.org/10.1155/2018/2178031" @default.
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