The Topological Entropy of One-dimensional Maps: Approximations and Bounds

Abstract

We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.

8 pages, plain TEX, figures available on request

Cited by in corpus (4)

• Simple Maps with Fractal Diffusion Coefficients
• Simple deterministic dynamical systems with fractal diffusion coefficients
• On Entropy and Monotonicity for Real Cubic Maps
• Chaos, Order Statistics and Unstable Periodic Orbits