Kategoria BISAC: Science >> Chaotic Behavior in Systems

This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future...

In Chaos and Cosmos, Heidi Scott integrates literary readings with contemporary ecological methods to investigate two essential and contrasting paradigms of nature that scientific ecology continues to debate: chaos and balance. Ecological literature of the Romantic and Victorian eras uses environmental chaos and the figure of the balanced microcosm as tropes essential to understanding natural patterns, and these eras were the first to reflect upon the ecological degradations of the Industrial Revolution. Chaos and Cosmos contends that the seed of imagination that would...

This fascinating book written by Ali Sanayei and Otto E. Rossler is not a classic scientific publication, but a vivid dialogue on science, philosophy and the interdisciplinary intersections of science and technology with biographic elements. "Chaotic Harmony: A Dialog about Physics, Complexity and Life" represents a discussion between Otto Rossler and his colleague and student, focusing on the different areas of science and highlights their mutual relations. The book's concept of interdisciplinary dialogue is unusual nowadays although it has a long tradition in science. It providesinsight...

This thesis tackles fundamental questions concerning the discharge of a pre-Pyrenean karst aquifer system and an Antarctic glacier system, utilizing a system engineering methodology and data-driven approach. It presents for the first time a simplified and effective linear transfer function for karst aquifers. The author provides detailed wavelet spectrum results, which reveal certain non-linearities in drought periods. In addition, structures based on Hammerstein-Wiener blocks have yielded a nonlinear model that is substantially more efficient than its linear counterparts.

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Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. Indynamical systems, complex behavior in amap can be indicated by showingthe existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce somegeometrical features typical of the...