Wolfgang Siegert Bücher

Content - Current EU legal framework - Regulation (EC) No 1223/2009 on cosmetic products - Definition of a preservative in the Cosmetics Regulation - Scientific Committee on Consumer Safety (SCCS) - Cosmetic ingredients database (CosIng) - Legal situation in other countries - USA -Japan - ASEAN states and China - Other countries - Active ingredient data - Organic acids - Formaldehyde and formaldehyde donors - Phenolics - Inorganic sulphites and hydrogensulphites - Alcohols - Hydroxybenzoic acid and its salts and esters (parabens) - Organobromine compounds - 3-Iodo-2-propinylbutylcarbamate - Cationic compounds - Amids - Amidines - Isothiazolinones - Glutaraldehyde - Climbazole - Pyridin N-oxides - Mercury compounds - Silver chloride - The need to combine preservatives - References - Index (INCI Names)

Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.