On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer

• Published in: Chaos, solitons and fractals Vol. 95; pp. 21 - 32
• Main Authors: Nepomuceno, Erivelton Geraldo, Mendes, Eduardo M.A.M.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.02.2017
• Subjects: Chaos; Discretization schemes; Lower bound error; Lyapunov exponent; Nonlinear dynamics systems; Pseudo-Orbit; Chaos; Pseudo-Orbit; Lower bound error; Nonlinear dynamics systems; Discretization schemes; Lyapunov exponent

This paper reports the existence of more than one pseudo-orbit when simulating continuous nonlinear systems using a digital computer in a set-up different from the ones normally seen in the literature, that is, in a set-up where the step-size is not varied, the discretization scheme is kept the same...