Frank Allen
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Chaos theory is concerned with unpredictable courses of events. The irregular and unpredictable time evolution of many nonlinear and complex linear systems has been named chaos. Chaos is best illustrated by Lorentz’ famous butterfly effect: the notion that a butterfly stirring the air in Hong Kong today can transform storm systems in New York ...
Chaos theory, more technically nonlinear dynamical systems (NLDS) theory, is an exciting, rapidly developing area of mathematics with increasing application in the physical, biological, and social sciences. Along with great metaphorical appeal, nonlinear dynamical systems can also add rigor and realism to human sciences; this article describes how they may help illuminate creativity, an elusive, sometimes near magical phenomenon that has defied simple explanations.
Chen system boosts deep learning for precise time series forecasting. •. Chaotic models outperform traditional deep learning in accuracy and robustness. •. Models save resources and adapt better across diverse datasets. •. Promising results in finance, power systems, and weather forecasting.
About the journal. An interdisciplinary journal of nonlinear science. Chaos, Solitons & Fractals has an open access companion journal Chaos, Solitons & Fractals: X which has the same aims and scope, editorial board and peer-review process. . Chaos, Solitons & Fractals aims to be the leading journal in the …. View full aims & scope.
Jan 1, 2004 · A systematic review of chaos theory in geophysics, covering a wide spectrum of geophysical phenomena studied (e.g. rainfall, river flow, sediment transport, temperature, pressure, tree ring series, etc.), is presented to narrate our past achievements not only in understanding and predicting geophysical phenomena but also in improving the chaos identification and prediction techniques.
Aug 1, 2024 · Chaos Game Optimization Algorithm (CGO) is a novel advancement in metaheuristic optimization inspired by chaos theory. It addresses complex optimization problems in dynamical systems, exhibiting unique behaviours such as fractals and self-organized patterns.
Jun 1, 1996 · This article uses chaos theory to model public relations situations whose salient feature is the volatility of public perceptions. After discussing the central premises of the theory itself, it applies chaos theory to issues management, the evolution of interest groups, crises, and rumors. It concludes that chaos theory is most useful as an ...
Mar 1, 2024 · To answer the question if chaos changes over time, we apply rolling windows to wavelet-denoised logarithmic S&P500 returns (2000–2020) and calculate consecutive chaos measures (e.g., Hurst-, maximum Lyapunov exponent or sample entropy). We state time-variation of the chaos measure series, indicating chaos instability or inherent chaotic time ...
Dec 1, 2021 · Further, the Society for Chaos Theory in Psychology and the Life Sciences (SCTPLS), established in 1991, of which Dr. Schuldberg has been President, now has members from 30 different countries. A recent review ( Pincus, et al., 2018 ) shows considerable high quality nonlinear work in humanistic psychology—a subdiscipline which over time has honored more systemic, holistic and interconnected views.
Chaos is the stochastic behavior of deterministic physical systems, resulting from extreme sensitivity of the dynamical evolution of such a system to small changes in the initial conditions. Strongly perturbed orbits, like those of planetary ring systems or stellar orbits in a galaxy, will display chaotic behavior.
