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Nonautonomous Bifurcation Theory
Authors: --- --- ---
ISBN: 9783031298424 9783031298417 9783031298431 Year: 2023 Publisher: Cham Springer Nature Switzerland :Imprint: Springer

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Abstract

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.


Periodical
Discrete dynamics in nature and society.
ISSN: 10260226 1607887X Year: 1997 Publisher: Amsterdam : Gordon and Breach,


Periodical
Electronic journal of qualitative theory of differential equations.
ISSN: 14173875 Year: 1998 Publisher: Szeged, Hungary : Electronic Journal of Qualitative Theory of Differential Equations,


Periodical
International journal of advanced structural engineering.
Author:
ISSN: 20083556 20086695 Year: 2009 Publisher: Tehran, Iran : Islamic Azad University,


Multi
Neurodynamics : An Applied Mathematics Perspective
Authors: ---
ISBN: 9783031219160 9783031219153 9783031219177 9783031219184 Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.


Multi
Complex, Intelligent and Software Intensive Systems : Proceedings of the 16th International Conference on Complex, Intelligent and Software Intensive Systems (CISIS-2022)
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ISBN: 9783031088124 9783031088117 9783031088131 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Software intensive systems are systems, which heavily interact with other systems, sensors, actuators, devices, other software systems, and users. More and more domains are involved with software intensive systems, e.g., automotive, telecommunication systems, embedded systems in general, industrial automation systems, and business applications. Moreover, the outcome of web services delivers a new platform for enabling software intensive systems. Complex systems research is focused on the overall understanding of systems rather than its components. Complex systems are very much characterized by the changing environments in which they act by their multiple internal and external interactions. They evolve and adapt through internal and external dynamic interactions. The development of intelligent systems and agents, which is each time more characterized by the use of ontologies and their logical foundations, builds a fruitful impulse for both software intensive systems and complex systems. Recent research in the field of intelligent systems, robotics, neuroscience, artificial intelligence, and cognitive sciences is a very important factor for the future development and innovation of software intensive and complex systems. The aim of the book “Complex, Intelligent and Software Intensive Systems” is to deliver a platform of scientific interaction between the three interwoven challenging areas of research and development of future ICT-enabled applications: software intensive systems, complex systems, and intelligent systems.


Multi
Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2022
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ISBN: 9783031299599 9783031299582 9783031299605 Year: 2023 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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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. .


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Advances in Active Bearings in Rotating Machinery
Authors: --- ---
ISBN: 9783031323942 9783031323935 9783031323959 Year: 2023 Publisher: Cham Springer International Publishing :Imprint: Springer

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This book reports on cutting-edge experimental and numerical findings related to the application of active bearings, including smart ones, in rotating machinery. It discusses their role in improving stability and control of rotor systems and reports in depth on the corresponding modeling and control approaches. Chapters are based on peer-reviewed contributions to the 1st Workshop on Active Bearings in Rotating Machinery (ABROM 2022), held on June 29- 30, 2022, in Athens, Greece, and organized in collaboration between the School of Mechanical Engineering of The National Technical University of Athens (NTUA) and the Faculty of Mechanical Engineering of Karlsruhe Institute of Technology (KIT). In connection with the increasing digital transformation of machine elements, this book offers a timely perspective and extensive information on testing methods and experimental procedures involved in the development of intelligent rotors for industrial applications.


Multi
Automata and Complexity : Essays Presented to Eric Goles on the Occasion of His 70th Birthday
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ISBN: 9783030925512 9783030925505 9783030925529 9783030925536 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.


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