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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 in...
Addictions to smoking, alcohol, illicit drugs, and certain behaviors like gambling, overeating, and sex, are prevalent worldwide. These behaviors are highly destructive and costly to individuals and society due to health consequences, criminality and lost productivity. The genetic vulnerability, environmental exposures, and individual behaviors that contribute to the brain dysfunction and compu...
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