Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 54, No. 1, pp. 1-18 (1997)

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Symbolic Dynamics of Bimodal Maps

J.P. Lampreia and J. Sousa Ramos

Departamento de Matemática, Universidade Nova de Lisboa,
PORTUGAL Departamento Matemática, Instituto Superior Técnico,
Universidade Técnica de Lisboa - PORTUGAL

Abstract: We introduce a matrix that represents the homological behavior of 0-chains and that summarizes the dynamics of bimodal maps of the interval. Using the characteristic polynomial of this matrix we deduce the kneading determinants of bimodal maps.

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