construction of vector fields with positive lyapunov exponents

thesis
abstract

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open interval of parameters.

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document type: thesis

وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد

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