Calculating Lyapunov exponents: applying products and evaluating integrals

• Mark McCartney ^[1]
  1. [1] University of Ulster

     University of Ulster

     Reino Unido

     
• Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 29, Nº. 4, 2010, págs. 208-215
• Idioma: inglés
• DOI: 10.1093/teamat/hrq012
• Texto completo no disponible (Saber más ...)
• Resumen

  • Two common examples of one-dimensional maps (the tent map and the logistic map) are generalized to cases where they have more than one control parameter. In the case of the tent map, this still allows the global Lyapunov exponent to be found analytically, and permits various properties of the resulting global Lyapunov exponents to be investigated using elementary calculus and the evaluation of certain products. A number of classroom exercises are given.