Deterministic chaos

Ebook "A mathematical theory of large-scale atmosphere/ocean flow" counteracts the current fashion for theories of “chaos” and unpredictability by describing a theory that underpins the surprising accuracy of current deterministic weather forecasts, and it suggests that further improvements are possible. The book does this by making a unique link between an exciting new branch of mathematics called “optimal transportation” and existing classical theories of the large-scale atmosphere and ocean circulation.

273p manmanthanhla0201 27-02-2024 1 1   Download

The study uses autoregressive fractionally integrated moving average – fractionally integrated generalized autoregressive conditional heteroskedasticity (ARFIMA-FIGARCH) models and chaos effects to determine nonlinearity properties present on currency ETN returns. The results find that the volatilities of currency ETNs have long-memory, non-stationarity and non-invertibility properties. These findings make the research conclude that mean reversion is a possibility and that the efficient market hypothesis of Fama (1970) became ungrounded on these investment instruments.

23p trinhthamhodang2 21-01-2020 27 2   Download

This paper discusses the utilization of the complex chaotic dynamics given by the selected time-continuous chaotic systems as well as by the discrete chaotic maps, as the chaotic pseudo-random number generators and driving maps for the chaos based optimization.

12p vioishi2711 01-07-2019 12 1   Download

What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability.

234p phoebe75 01-02-2013 52 5   Download

FUZZY MODELING AND CONTROL OF CHAOTIC SYSTEMS Chaotic behavior is a seemingly random behavior of a deterministic system that is characterized by sensitive dependence on initial conditions. Chaotic behavior of a physical system can either be desirable or undesirable, depending on the application. It can be beneficial in many circumstances, such as enhanced mixing of chemical reactants. Chaos can, on the other hand, entail large-amplitude motions and oscillations that might lead to system failure....

41p doroxon 18-08-2010 86 9   Download