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Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations
Joint Authors
Félix-Beltrán, Olga Guadalupe
Luis-Ramos, Arnulfo
Munoz-Pacheco, Jesus Manuel
Gómez-Pavón, Luz del Carmen
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An algorithm to compute the Lyapunov exponents of piecewise linear function-based multidirectional multiscroll chaotic oscillators is reported.
Based on the m regions in the piecewise linear functions, the suggested algorithm determines the individual expansion rate of Lyapunov exponents from m-piecewise linear variational equations and their associated m-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.
American Psychological Association (APA)
Munoz-Pacheco, Jesus Manuel& Gómez-Pavón, Luz del Carmen& Félix-Beltrán, Olga Guadalupe& Luis-Ramos, Arnulfo. 2013. Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-503368
Modern Language Association (MLA)
Munoz-Pacheco, Jesus Manuel…[et al.]. Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-503368
American Medical Association (AMA)
Munoz-Pacheco, Jesus Manuel& Gómez-Pavón, Luz del Carmen& Félix-Beltrán, Olga Guadalupe& Luis-Ramos, Arnulfo. Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-503368
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503368