Classification of one-dimensional chaotic models
Valery Mikhailovich Anikin, С. С. Аркадакский, S. N. Kuptsov, Alexander S. Remizov · Bulletin of the Russian Academy of Sciences Physics · 2009
Classifying chaotic maps using the relation between a map and its conjugate basic map with uniform invariant distribution is suggested. It is shown that every symmetric one-dimensional chaotic map with two monotonic branches is topologically equivalent to a tent map or a Bernoulli shift. An algorithm for finding a function conjugating two maps is formulated.