Get BookComplex Nonlinearity Chaos Phase Transitions Topology Change and Path Integrals (Understanding Complex Systems)

[Get.Zeci] Complex Nonlinearity Chaos Phase Transitions Topology Change and Path Integrals (Understanding Complex Systems)

[Get.Zeci] Complex Nonlinearity Chaos Phase Transitions Topology Change and Path Integrals (Understanding Complex Systems)

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Book Details :
Published on: 2008-08-06
Released on:
Original language: English

Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia. META-INF/MANIFEST.MFname/audet/samuel/shorttyping META-INF/MANIFEST.MFname/audet/samuel/shorttyping/ShortDictManager$BufferedStream.classname/audet/samuel/shorttyping/ShortDictManager.classname/audet/samuel ... Eurasc - News - European Academy of Sciences The Symposium "The Future of Science in the 21st Century ; climate change : impacts on oceans food production health and the economy" and the Ceremony of Awards ... EU VI ESSE BLOG / I SAW THIS BLOG: I SAW THIS FUCKING April 25 1945. (4 25 4+2+5=11) Delegates from 50 nations met in San Francisco buceta drew barrymore elizabeth hurley jessica biel jennifer love hewitt jennifer lopez ... Eurasc - New Members - eurasc.org List of the new elected members to the European Academy of Sciences Oxbridge essays scampi shrimp recipe nobu-zzvc Oxbridge essays scampi shrimp recipe nobu-zzvc Samedi 14 mar 2015 Le Live Marseille : aller dans les plus grandes soires ... Retrouvez toutes les discothque Marseille et se retrouver dans les plus grandes soires en discothque Marseille. Resolve a DOI Name Type or paste a DOI name into the text box. Click Go. Your browser will take you to a Web page (URL) associated with that DOI name. Send questions or comments to doi ...
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