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Nonlinear Dynamics in Complex Systems : Theory and Applications for the Life-, Neuro- and Natural Sciences
Description Nonlinear Dynamics in Complex Systems : Theory and Applications for the Life-, Neuro- and Natural Sciences. With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified.This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work."This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.""With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.""What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically."(J.A.Scott Kelso, excerpts from the foreword)
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Nonlinear Dynamics / Home ~ Nonlinear Dynamics provides a forum for the rapid publication of original research in the field. The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems. Review articles and original contributions are based on analytical, computational .
studyathit.hit.edu.cn ~ Nonlinear Dynamics. 15. Hydrodynamics. 16. Dynamics Inverse Problem and Fault Diagnosis. 0825. Aeronautical and Astronautical Science and Technology . 1. Aircraft System Design. 2. Flight Dynamics and Control. 3. Aircraft Intelligent Autonomous Navigation, Guidance and Control. 4. Deep Space Flight and Landing Return. 5. Integrated Design and Simulation of Aircraft. 6. Dynamics and Control of .
Biomathématiques - Rameau - Ressources de la - BnF ~ Applications of combinatorics and graph theory to the biological and social sciences (1989) Biomathematics and related computational problems (1988) Mathematical topics in population biology, morphogenesis, and neurosciences (1987)
The European Physical Journal Special Topics / Volumes and ~ Particle Methods in Natural Science and Engineering. February 2019, issue 13. The Alphatrap experiment. December 2018, issue 12. Topological States of Matter: Theory and Applications. November 2018, issue 10-11. Advances in Nonlinear Dynamics of Complex Networks: Adaptivity, Stochasticity, Delays . October 2018, issue 7-9. Nonlinear Effects in Life Sciences. September 2018, issue 5-6 .
Modèles mathématiques - Rameau - Ressources de la ~ Proceedings of the Evry spring school on modelling complex biological systems in the context of genomics (2007) . Differential game theory with applications to missiles and autonomous systems guidance (2017) Politique macroprudentielle (2017) Modeling of microscale transport in biological processes (2017) Modeling with digital ocean and digital coast (2017) Discovering prices (2017 .
Prise de décision - BnF ~ Possibilités et limites d'une science de l'aide à la décision (1983) L'éthique de la décision (1983 . Discrete-event simulation and system dynamics for management decision making (2014) Making transparent environmental management decisions (2014) Judgment and decision making at work (2014) Trillion dollar economists (2014) Feeling smart (2014) 40 šanah ʾaḥarey (2014) Overreach (2014 .
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Dynamical systems theory - Wikipedia ~ Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations.When differential equations are employed, the theory is called continuous dynamical systems.From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization .
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Google Scholar ~ Google Scholar provides a simple way to broadly search for scholarly literature. Search across a wide variety of disciplines and sources: articles, theses, books, abstracts and court opinions.
Simulation, Méthodes de - BnF ~ Toutes les informations de la Bibliothèque Nationale de France sur : Simulation, Méthodes de
Center for the Study of Complex Systems / U-M LSA ~ The Center for the Study of Complex Systems (CSCS) is a broadly interdisciplinary program in the College of Literature, Science and the Arts (LSA) at the University of Michigan in Ann Arbor, Michigan. Our mission is to encourage and facilitate research and education in the general area of nonlinear, dynamical and adaptive systems.
Fractales - Rameau - Ressources de la Bibliothèque ~ Fractals and chaos simplified for the life sciences (1998) Fractals and beyond (1998 . Application de l'analyse multifractale et de la transformée en ondelettes anisotropes à la caractérisation géométrique multi-échelle des réseaux de failles et de fractures (1995) Ondelettes, multifractales et turbulences (1995) Fractals in petroleum geology and earth processes (1995) Fractals in .
Singularity (system theory) - Wikipedia ~ J.C. Maxwell has already pointed out that a system has all the more singular points, the more complex it is. Complexity is also the basis of perceived chaos and singularities. Suppose a seemingly insignificant event that produces a great effect, even in a simple context, how difficult would it be to detect the reason in a complex situation with tremendously many elements and relationships .