A revision of the Lyapunov exponent in \(1\)D quadratic maps

DOI10.1016/S0167-2789(97)00057-2zbMath0933.37051OpenAlexW1984277392MaRDI QIDQ1963267

Fausto Montoya, Gerardo Pastor, Miguel Romera

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00057-2

zbMATH Keywords

Lyapunov exponentsMisiurewicz pointsLyapunov exponent positive measureone-dimensional quadratic maps

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

Review of chaotic mapping enabled nature-inspired algorithms ⋮ Can two chaotic systems give rise to order? ⋮ Self-shrinking chaotic stream ciphers ⋮ Hidden and Nonstandard Bifurcation Diagram of an Alternate Quadratic System ⋮ Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers ⋮ Misiurewicz point patterns generation in one-dimensional quadratic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approach to the ordering of one-dimensional quadratic maps.
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Regular and stochastic motion
• Quantitative universality for a class of nonlinear transformations
• On the cusp and the tip of a midget in the Mandelbrot set antenna
• Combinatorial patterns for maps of the interval

This page was built for publication: A revision of the Lyapunov exponent in \(1\)D quadratic maps