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- W1985703313 abstract "An algorithm to compute the Lyapunov exponents of piecewise linear function-based multidirectional multiscroll chaotic oscillators is reported. Based on the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:math>regions in the piecewise linear functions, the suggested algorithm determines the individual expansion rate of Lyapunov exponents from<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:math>-piecewise linear variational equations and their associated<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:math>-Jacobian matrices whose entries remain constant during all computation cycles. Additionally, by considering OpAmp-based chaotic oscillators, we study the impact of two analog design procedures on the magnitude of Lyapunov exponents. We focus on analyzing variations of both frequency bandwidth and voltage/current dynamic range of the chaotic signals at electronic system level. As a function of the design parameters, a renormalization factor is proposed to estimate correctly the Lyapunov spectrum. Numerical simulation results in a double-scroll type chaotic oscillator and complex chaotic oscillators generating multidirectional multiscroll chaotic attractors on phase space confirm the usefulness of the reported algorithm." @default.
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- W1985703313 date "2013-01-01" @default.
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- W1985703313 title "Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:math>-PWL Variational Equations" @default.
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- W1985703313 doi "https://doi.org/10.1155/2013/851970" @default.
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