Abstract
An approach for deriving the topological entropy of dynamical systems generated by one-dimensional piecewise-continous and piecewise-monotonous maps of an interval is proposed. The technique is based on the application of kneading theory and allows to reduce the calculations for finding a root of some polynomial which is the kneading determinant. Examples of computing the topological entropy including those from the experimental data are presented; the comparison with the Lyapunov exponent is given.
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© 1990 Springer-Verlag Berlin, Heidelberg
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Zheleznyak, A.L. (1990). An Approach to the Computation of the Topological Entropy. In: Gaponov-Grekhov, A.V., Rabinovich, M.I., Engelbrecht, J. (eds) Nonlinear Waves 3. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75308-4_28
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DOI: https://doi.org/10.1007/978-3-642-75308-4_28
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