fluctuations https://popups.uliege.be/3041-539x/index.php?id=750 Index terms fr 0 Extended Detrended Fluctuation Analysis for financial data https://popups.uliege.be/3041-539x/index.php?id=1193 A method to sort out temporal correlations in financial data within the Detrended Fluctuation Analysis (DFA) statistical method is used. Both linear and cubic detrendings are considered. Our findings are surprisingly similar to those for DNA sequences which appeared as a mosaic of coding and non-coding patches. Fri, 05 Jul 2024 15:46:35 +0200 Fri, 05 Jul 2024 15:46:45 +0200 https://popups.uliege.be/3041-539x/index.php?id=1193 Strong Influence of Small Fluctuations in Nonlinear Systems https://popups.uliege.be/3041-539x/index.php?id=749 Recent investigations showed that even weak noise acting upon a nonlinear dynamical system can have a pronounced effect on its behaviour resulting in the transitions to a new state and in qualitative change in the system's properties, e.g., the transformation of an unstable equilibrium state into a stable one, and vice versa, the occurrence of multistability, noise-induced transport (stochastic ratchets), so-called stochastic resonance, and so on. The phenomenon of noise-induced transport is closely allied to the well-known problem of fluctuational transitions from one stable state to another. The theory of such transitions and examples of the phenomena indicated are considered. Mon, 01 Jul 2024 10:17:37 +0200 Mon, 01 Jul 2024 10:17:48 +0200 https://popups.uliege.be/3041-539x/index.php?id=749