Frank Allen
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Learn about chaos theory, a branch of mathematics that studies the unpredictable behavior of complex systems. Explore how chaos theory is applied to geophysics, ecology, meteorology, and more.
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.
This paper explores the efficacy of integrating chaos theory with deep learning to enhance both accuracy and efficiency in forecasting. Our novel method leverages the randomness, sensitivity, and diversity inherent in chaotic systems, providing a promising approach to advance deep learning models.
Chaos, Solitons & Fractals is an interdisciplinary journal that publishes research on nonlinear phenomena and complex systems. It covers topics such as solitons, fractals, chaos, synchronization, control, and applications in physics, biology, and engineering.
Jan 1, 2004 · The last two decades have witnessed applications of chaos theory in almost every branch of geophysics. Among the seven broad branches of geophysics (atmospheric sciences, climate and global change, hydrologic sciences, ocean sciences, planetary sciences, solid earth sciences, and space sciences), atmospheric and hydrologic sciences are the ones that have witnessed far more number of applications of chaos theory.
Jun 1, 1996 · In the social sciences, chaos theory has mainly been applied to economics, although work has begun to surface more recently in literary theory,22 public policy,23 and sociology.24 In a public relations context, Cottone used chaos as an overriding metaphor to urge change in public relations research from a hard-science paradigm to "schol- arship that parallels the three themes of chaos researchers [:] the multidisciplinary effort, an investigation of extremist ideas, and work that is ...
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 theory, a concept derived from nonlinear dynamics and used initially to predict the weather, has been applied to numerous other areas of research which include fetal development and sexual behavior, as well as various branches of psychology (Goodman 1997).
Jul 1, 2010 · In the companion paper, starting from the fundamental properties of chaos theory essential to building simulation scientists, the current state and future direction of chaos theory based models in simulating complex building systems, as well as scientific evidence of chaos in building behaviour, are reviewed [2]. The results suggest that chaos theory poses a promising and valid alternative for modelling complex, unsteady and unpredictable dynamics associated with many aspects of building ...
Dec 1, 2021 · The abovementioned principles of chaos theory (edge of chaos, the butterfly effect, bifurcation and cosmology, self-organization, and strange attractors) can help us to understand how COVID-19 has pushed the tourism industry to the edge of chaos, how the tourism industry is changing as a result of COVID-19, how the industry can self-organize with new norms, and what role strange attractors might play in the process of transforming the entire system to the new normal (see Fig. 1).
