Chaos Theory

Chaos theory is the study of change over time, specifically of highly volatile, seemingly random situations that are highly sensitive to changes in initial conditions. Fractals are self-similar objects with non integer dimensions. In this paper, I will explore the history of chaos theory, fractals, and the relationship between them

Chaos Theory

A double pendulum exhibits chaotic motion: there are patterns that that the swings will follow, but due to the infinite variables affecting the system, each turn will be different. or example, the light patterns of this piece are actual movements of a double pendulum that I constructed, affected by the environments in which I photographed them. Due to the nature of chaos theory, no two images were alike, producing a new piece each time.https://scholarsmine.mst.edu/libcom_stuart_summer2017/1021/thumbnail.jp

Kamma and Chaos Theory (Complexity Science)

Exposure to kamma and chaos theory is followed by an attempt to identify similarities between them such as: continuous causality (interdependent coexistence present in open systems) - a common factor in chaos theory and Buddhism (explains Buddhist rebirth); Buddhist proximate paths or actions that yield very different effects and chaos theory proximate initial conditions giving very different results; Buddhist 31 abodes of beings at various levels and chaos theory attractors; the middle path in Buddhism and in chaos theory the edge of chaos being the most desirable resting level

Nonlinear projective filtering I: Background in chaos theory

We derive a locally projective noise reduction scheme for nonlinear time series using concepts from deterministic dynamical systems, or chaos theory. We will demonstrate its effectiveness with an example with known deterministic dynamics and discuss methods for the verification of the results in the case of an unknown deterministic system.Comment: 4 pages, PS figures, needs nolta.st

Metaheuristics and Chaos Theory

Chaos theory is a novelty approach that has been widely used into various applications. One of the famous applications is the introduction of chaos theory into optimization. Note that chaos theory is highly sensitive to initial condition and has the feature of randomness. As chaos theory has the feature of randomness and dynamical properties, it is easy to accelerate the optimization algorithm convergence and enhance the capability of diversity. In this work, we integrated 10 chaotic maps into several metaheuristic algorithms in order to extensively investigate the effectiveness of chaos theory for improving the search capability. Extensive experiments have been carried out and the results have shown that chaotic optimization can be a very promising tool for solving optimization algorithms

Deterministic chaos theory and forecasting in Social Sciences. Contribution to the discussion

Forecasting social phenomena may be hampered in many ways. This is because in nature of these phenomena lies strong and multilateral connection with other social phenomena; but not only – also physical and biological (natural) ones. The content of this publication constitutes presentation of chosen problems of forecasting in social sciences. The attention in the article was focused among others on deterministic chaos theory, on the attempt of its implementation to phenomena from the scope (or from borderline) of social sciences: economy, logistics, science about safety etc. Moreover, one of the threads of ponderation was the attempt to consider whether it’s possible to create so-called final theory. The aim of the publication is to signalize possibilities of taking advantage of seemingly exotic for “political scientists” methodology of modeling and explaining phenomena, having its source in exact sciences (in chaos theory) to study social phenomena and processes