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 next month. The definition of deterministic chaos ...
The chaos theory should help in understanding how these dynamic components interact and influence each other, allowing, for instance, predictions of epidemic trajectory; iv) the concept that patterns can be similar at different scales is a central concept of the chaos theory.
Chaos theory studies very complex dynamical systems such as the Earth's atmosphere, animal populations, fluid flows, the human heartbeat, and geological processes. The main and key concept of chaos theory is that in every disorder there is an order.
Chaos theory, initially developed by Edward Lorenz, a mathematician and meteorologist at the Massachusetts Institute of Technology, has evolved from a theory of the natural and physical sciences to a theory that has broad, interdisciplinary applications.
Through the theory of chaos, one can try to catch the structure of unpredictability and display it in a variety of templates. The chaos theory is a revolutionary approach to understanding and forecasting the behavior of financial markets. The beginning of its application coincided with the transition of finance to the use of big data.
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.