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Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.

Mathematics --- Classical mechanics. Field theory --- wiskunde --- dynamica --- Dynamical systems. --- Mathematics. --- Dynamical Systems.

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This book is about the dynamics of neural systems and should be suitable for those with a background in mathematics, physics, or engineering who want to see how their knowledge and skill sets can be applied in a neurobiological context. No prior knowledge of neuroscience is assumed, nor is advanced understanding of all aspects of applied mathematics! Rather, models and methods are introduced in the context of a typical neural phenomenon and a narrative developed that will allow the reader to test their understanding by tackling a set of mathematical problems at the end of each chapter. The emphasis is on mathematical- as opposed to computational-neuroscience, though stresses calculation above theorem and proof. The book presents necessary mathematical material in a digestible and compact form when required for specific topics. The book has nine chapters, progressing from the cell to the tissue, and an extensive set of references. It includes Markov chain models for ions, differential equations for single neuron models, idealised phenomenological models, phase oscillator networks, spiking networks, and integro-differential equations for large scale brain activity, with delays and stochasticity thrown in for good measure. One common methodological element that arises throughout the book is the use of techniques from nonsmooth dynamical systems to form tractable models and make explicit progress in calculating solutions for rhythmic neural behaviour, synchrony, waves, patterns, and their stability. This book was written for those with an interest in applied mathematics seeking to expand their horizons to cover the dynamics of neural systems. It is suitable for a Masters level course or for postgraduate researchers starting in the field of mathematical neuroscience.

Mathematics --- Classical mechanics. Field theory --- Biomathematics. Biometry. Biostatistics --- Biology --- Computer science --- biomathematica --- biologie --- informatica --- wiskunde --- dynamica --- Biomathematics. --- Dynamics. --- Nonlinear theories. --- Mathematical and Computational Biology. --- Applied Dynamical Systems. --- Neurofisiologia --- Models matemàtics

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The book is very useful for researchers, graduate students and educators associated with or interested in recent advances in different aspects of modelling, computational methods and techniques necessary for solving problems arising in the real-world problems. The book includes carefully peer-reviewed research articles presented in the “5th International Conference on Mathematical Modelling, Applied Analysis and Computation”, held at JECRC University, Jaipur, during 4–6 August 2022 concentrating on current advances in mathematical modelling and computation via tools and techniques from mathematics and allied areas. It is focused on papers dealing with necessary theory and methods in a balanced manner and contributes towards solving problems arising in engineering, control systems, networking system, environment science, health science, physical and biological systems, social issues of current interest, etc. .

Mathematics --- Classical mechanics. Field theory --- Applied physical engineering --- Computer science --- economie --- informatica --- wiskunde --- informaticaonderzoek --- dynamica --- Engineering mathematics. --- Mathematics—Data processing. --- Dynamics. --- Nonlinear theories. --- Engineering Mathematics. --- Computational Science and Engineering. --- Applied Dynamical Systems.

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This book commemorates Eric Goles’s achievements in science and engineering. Eric Goles is one of the world leaders in the field of automata and complexity. His groundbreaking discoveries are in the theory and analysis of complex systems, particularly in the field of discrete systems dynamics such as neural networks, automata networks, majority networks, bootstrap percolation models, cellular automata, computational complexity theory, discrete mathematics, and theoretical computer science. Topics include cellular automata, complex networks, models of computation, expansive systems, sandpile automata, Penrose tilings, Boolean automata, models of infection, Fibonacci trees, dominos, reversible automata, and fungal automata. The chapters are authored by world leaders in computer science, physics, mathematics, and engineering. The book will be a pleasure to explore for readers from all walks of life, from undergraduate students to university professors, from mathematicians, computer scientists, and engineers to chemists and biologists.

Mathematics --- Classical mechanics. Field theory --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- economie --- wiskunde --- ingenieurswetenschappen --- dynamica --- Engineering mathematics. --- Engineering --- Dynamics. --- Nonlinear theories. --- Mathematical and Computational Engineering Applications. --- Applied Dynamical Systems. --- Data processing.

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This book presents the research results of advanced vibration control technology, based on two types of typical equipment in industrial engineering of China: power equipment and vibration-sensitive equipment. The main contents of this book include optimized active control strategy research, semi-active control research that can track and equivalently achieve active control effects, refined analysis of active control based on finite element method, research on the impact of vibration isolator layout on vibration isolation performance, passive and active control research based on system freedom decoupling and load decoupling, realized passive and active control research using quasi-zero stiffness system based on positive and negative stiffness, intelligent sensors optimization deployment of plane and space structure, and related key technology application cases in engineering applications. This book provides useful references for engineers and researchers in industrial engineering and technical support for practitioners in the development of China's high-end industry.

Mathematics --- Classical mechanics. Field theory --- Mechanical properties of solids --- Hygiene. Public health. Protection --- Electrical engineering --- Applied physical engineering --- patroonherkenning --- toegepaste mechanica --- automatisering --- brandpreventie --- dynamica --- automatische regeltechniek --- optica --- Multibody systems. --- Vibration. --- Mechanics, Applied. --- Control engineering. --- Fire prevention. --- Buildings—Protection. --- Dynamics. --- Nonlinear theories. --- Multibody Systems and Mechanical Vibrations. --- Control and Systems Theory. --- Fire Science, Hazard Control, Building Safety. --- Applied Dynamical Systems. --- Automation --- Fire --- Engineering --- Mechanical Engineering --- Technology & Engineering