Ultra Poincaré chaos offers an alternative to Lorenz chaos, showcasing alpha unpredictability, which is a characteristic of an isolated motion. Alpha labeling is a valuable mathematical structure for studying complexity, as well as for the entirety of dynamical systems theory. Additionally, unique historical and philosophical insights enhance the understanding of the ongoing research.
Domain Structured Dynamics is the first systematic presentation to examine the construction and identification of chaotic dynamics through a specially designed labeling. The power of the approach for fractals as domains of chaos, revisited famous deterministic and stochastic models, new types of differential equations and neural networks is seen in the book.
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