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1 Bountis, Tassos Chaos, Fractals and Complexity I12832 2023 eBook  
2 Bountis, Tassos Complex Hamiltonian Dynamics I06588 2012 eBook  
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TitleChaos, Fractals and Complexity
Author(s)Bountis, Tassos;Vallianatos, Filippos;Provata, Astero;Kugiumtzis, Dimitris;Kominis, Yannis
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXV, 374 p. 102 illus., 85 illus. in color : online resource
Abstract NoteThis volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School ???Dynamical Systems and Complexity???, July 18 ??? 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world
ISBN,Price9783031374043
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. Computational neuroscience 4. DYNAMICS 5. EBOOK - SPRINGER 6. GEOMETRY 7. NONLINEAR THEORIES 8. SYSTEM THEORY
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TitleComplex Hamiltonian Dynamics
Author(s)Bountis, Tassos;Skokos, Haris
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionXXIV, 256 p : online resource
Abstract NoteThis book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems.?? The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented?? problems provide many opportunities to deepen the reader???s insights into specific aspects of the subject matter. ?? Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field
ISBN,Price9783642273056
Keyword(s)1. CLASSICAL MECHANICS 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Information and Communication, Circuits 9. INFORMATION THEORY 10. Mathematical Methods in Physics 11. MECHANICS 12. PHYSICS 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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