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Chaos theory has been developed from the recognition that apparently simple physical systems which obey deterministic laws may nevertheless behave unpredictably. Nonlinear systems can converge to an equilibrium (steady state) or there can be a stable oscillation (periodic behavior) or there can be chaotic change.
1986年在伦敦召开的一个关于混沌(Chaos)问题的国际会议上,提出了下述的定义:“数学上指在确定性系统中出现的随机性态”。 传统观点认为,确定性系统的性态受精确的规则支配,其行为是确定的,可以预言的;随机系统的性态是不规则的,由偶然性支配,“随机”就是“无规”。
Jan 1, 2017 · 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. As computers and knowledge became more powerful chaos theory could become a larger part of evaluating and predicting in financial markets.
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 interdisciplinary field of Nonlinear Science.
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.
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.
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 ...
Jul 1, 2010 · A literature review of past studies investigating chaos theory approaches in building simulation models suggests that as a basis chaos model is valid and can handle the increasing complexity of building systems that have dynamic interactions among all the distributed and hierarchical systems on the one hand, and the environment and occupants on ...
Mar 1, 2024 · In this study, we elaborate on and analyse two main objectives, namely, (1) to elucidate and state the potential existence of chaos instabilities and time-varying chaos metrics within (financial) time-series and (2) to assess the possibility of applying these time-varying chaos metrics as predictors for the denoted time-series in a deep learning neural network solution, aiming to provide a ...
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.