On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping

On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping—a case study

Published:2009-06-04 Issue:1-2 Volume:59 Page:239-257
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Yang Caixia,Wu Qiong

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-009-9535-7.pdf

Reference41 articles.

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2. Alligood, K.T., Sauer, T.D., Yorke, J.A.: Chaos, an Introduction to Dynamical Systems. Springer, New York (1997)

3. Williams, G.P.: Chaos Theory Tamed. Joseph Henry Press, Washington, D.C. (1997)

4. Sekhavat, P., Sepehri, N., Wu, Q.: Calculation of Lyapunov exponents using nonstandard finite difference discretization scheme: a case study. J. Differ. Equ. Appl. 10(4), 369–378 (2004)

5. Müller, P.C.: Calculation of Lyapunov exponents for dynamic systems with discontinuities. Chaos Solitons Fractals 5, 1671–1681 (1995)

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