Discovering Discrete Dynamical Systems

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Discovering Discrete Dynamical Systems
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Author : Aimee Johnson
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-31
Discovering Discrete Dynamical Systems written by Aimee Johnson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-31 with Mathematics categories.
Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules each with an opening exploration, a short exposition and related exercises, and a concluding project guide students to self-discovery on topics such as fixed points and their classifications, chaos and fractals, Julia and Mandelbrot sets in the complex plane, and symbolic dynamics. Topics have been carefully chosen as a means for developing student persistence and skill in exploration, conjecture, and generalization while at the same time providing a coherent introduction to the fundamentals of discrete dynamical systems. This book is written for undergraduate students with the prerequisites for a first analysis course, and it can easily be used by any faculty member in a mathematics department, regardless of area of expertise. Each module starts with an exploration in which the students are asked an open-ended question. This allows the students to make discoveries which lead them to formulate the questions that will be addressed in the exposition and exercises of the module. The exposition is brief and has been written with the intent that a student who has taken, or is ready to take, a course in analysis can read the material independently. The exposition concludes with exercises which have been designed to both illustrate and explore in more depth the ideas covered in the exposition. Each module concludes with a project in which students bring the ideas from the module to bear on a more challenging or in-depth problem. A section entitled "To the Instructor" includes suggestions on how to structure a course in order to realize the inquiry-based intent of the book. The book has also been used successfully as the basis for an independent study course and as a supplementary text for an analysis course with traditional content.
Dynamical Systems With Applications Using Matlab
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Author : Stephen Lynch
language : en
Publisher: Springer Nature
Release Date : 2025-09-09
Dynamical Systems With Applications Using Matlab written by Stephen Lynch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-09 with Mathematics categories.
This textbook, now in its third edition, provides a broad and accessible introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox®, the Symbolic Math Toolbox®, and the Deep Learning Toolbox®. The text begins with a tutorial introduction to MATLAB that assumes no prior programming knowledge. Discrete systems are covered in the first part, after which the second part explores the study of continuous systems using delay, ordinary, and partial differential equations. The third part considers chaos control and synchronization, binary oscillator computing, Simulink, and the Deep Learning Toolbox. A final chapter provides examination- and coursework-type MATLAB questions for use by instructors and students. For the Third Edition, all the material has been thoroughly updated in line with the most recent version of MATLAB, R2025a. New chapters have been added on artificial neural networks, delay differential equations, numerical methods for ordinary and partial differential equations, and the Deep Learning Toolbox. MATLAB program files, Simulink model files, and other materials are available to download from the author’s website and through GitHub. The hands-on approach of Dynamical Systems with Applications using MATLAB® has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the Second Edition: “This book [is] a valuable reference to the existing literature on dynamical systems, especially for the remarkable collection of examples and applications selected from very different areas, as well as for its treatment with MATLAB of these problems.” -- Fernando Casas, zbMATH “[The] vast compilation of applications makes this text a great resource for applied mathematicians, engineers, physicists, and researchers. Instructors will be pleased to find an aims and objectives section at the beginning of each chapter where the author outlines its content and provides student learning objectives.” -- Stanley R. Huddy, MAA Reviews
Neurophenotypes
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Author : Vinoth Jagaroo
language : en
Publisher: Springer
Release Date : 2017-02-24
Neurophenotypes written by Vinoth Jagaroo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-24 with Psychology categories.
The interest in ‘biomarkers’ seen across a spectrum of biomedical disciplines reflects the rise of molecular biology and genetics. A host of ‘omics’ disciplines in addition to genomics, marked by multidimensional data and complex analyses, and enabled by bioinformatics, have pushed the trajectory of biomarker development even further. They have also made more tractable the complex mappings of genotypes to phenotypes – genome-to-phenome mapping – to which the concept of a biomarker is central. Genomic investigations of the brain are beginning to reveal spectacular associations between genes and neural systems. Neural and cognitive phenomics are considered a necessary complement to genomics of the brain. Other major omics developments such as connectomics, the comprehensive mapping of neurons and neural networks, are heralding brain maps of unprecedented detail. Such developments are defining a new era of brain science. And in this new research environment, neural systems and cognitive operations are pressed for new kinds of definitions – that facilitate brain-behavioral alignment in an omics operating environment. This volume explores the topic of markers framed around the constructs of cognitive and neural systems. ‘Neurophenotype’ is a term adopted to describe a neural or cognitive marker that can be scientifically described within an associative framework – and while the genome-to-phenome framework is the most recognized of these, epigenetics and non-gene-regulated neural dynamics also suggest other frameworks. In either case, the term neurophenotype defines operational constructs of brain-behavioral domains that serve the integration of these domains with neuroscientific and omics models of the brain. The topic is critically important to psychiatry and neuropsychology: Neurophenotypes offer a ‘format’ and a ‘language’ by which psychiatry and neuropsychology can be in step with the brain sciences. They also bring a new challenge to the clinical neurosciences in terms of construct validation and refinement. Topics covered in the volume include: Brain and cognition in the omics era Phenomics, connectomics, and Research Domain Criteria Circuit-based neurophenotypes, and complications posed by non-gene regulated factors The legacy of the endophenotype concept – its utility and limitations Various potential neurophenotypes of relevance to clinical neuroscience, including Response Inhibition, Fear Conditioning and Extinction, Error Processing, Reward Dependence and Reward Deficiency, Face Perception, and Language Phenotypes Dynamic (electrophysiological) and computational neurophenotypes The challenge of a cultural shift for psychiatry and neuropsychology The volume may be especially relevant to researchers and clinical practitioners in psychiatry and neuropsychology and to cognitive neuroscientists interested in the intersection of neuroscience with genomics, phenomics and other omics disciplines.
Discovery Science
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Author : Johannes Fürnkranz
language : en
Publisher: Springer
Release Date : 2013-09-30
Discovery Science written by Johannes Fürnkranz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-30 with Computers categories.
This book constitutes the proceedings of the 16th International Conference on Discovery Science, DS 2013, held in Singapore in October 2013, and co-located with the International Conference on Algorithmic Learning Theory, ALT 2013. The 23 papers presented in this volume were carefully reviewed and selected from 52 submissions. They cover recent advances in the development and analysis of methods of automatic scientific knowledge discovery, machine learning, intelligent data analysis, and their application to knowledge discovery.
International Symposium On Fuzzy Systems Knowledge Discovery And Natural Computation Fskd 2014
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Author : Defu Zhang, Xiamen University, China
language : en
Publisher: DEStech Publications, Inc
Release Date : 2014-09-02
International Symposium On Fuzzy Systems Knowledge Discovery And Natural Computation Fskd 2014 written by Defu Zhang, Xiamen University, China and has been published by DEStech Publications, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-02 with Language Arts & Disciplines categories.
ICNC-FSKD is a premier international forum for scientists and researchers to present the state of the art of data mining and intelligent methods inspired from nature, particularly biological, linguistic, and physical systems, with applications to computers, circuits, systems, control, communications, and more. This is an exciting and emerging interdisciplinary area in which a wide range of theory and methodologies are being investigated and developed to tackle complex and challenging problems.
Topological Dynamics In Metamodel Discovery With Artificial Intelligence
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Author : Ariel Fernández
language : en
Publisher: CRC Press
Release Date : 2022-12-21
Topological Dynamics In Metamodel Discovery With Artificial Intelligence written by Ariel Fernández and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Computers categories.
The leveraging of artificial intelligence (AI) for model discovery in dynamical systems is cross-fertilizing and revolutionizing both disciplines, heralding a new era of data-driven science. This book is placed at the forefront of this endeavor, taking model discovery to the next level. Dealing with artificial intelligence, this book delineates AI’s role in model discovery for dynamical systems. With the implementation of topological methods to construct metamodels, it engages with levels of complexity and multiscale hierarchies hitherto considered off limits for data science. Key Features: Introduces new and advanced methods of model discovery for time series data using artificial intelligence Implements topological approaches to distill "machine-intuitive" models from complex dynamics data Introduces a new paradigm for a parsimonious model of a dynamical system without resorting to differential equations Heralds a new era in data-driven science and engineering based on the operational concept of "computational intuition" Intended for graduate students, researchers, and practitioners interested in dynamical systems empowered by AI or machine learning and in their biological, engineering, and biomedical applications, this book will represent a significant educational resource for people engaged in AI-related cross-disciplinary projects.
Natural Computing For Simulation And Knowledge Discovery
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Author : Nunes de Castro, Leandro
language : en
Publisher: IGI Global
Release Date : 2013-07-31
Natural Computing For Simulation And Knowledge Discovery written by Nunes de Castro, Leandro and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-31 with Computers categories.
Nature has long provided the inspiration for a variety of scientific discoveries in engineering, biomedicine, and computing, though only recently have these elements of nature been used directly in computational systems. Natural Computing for Simulation and Knowledge Discovery investigates the latest developments in nature-influenced technologies. Within its pages, readers will find an in-depth analysis of such advances as cryptographic solutions based on cell division, the creation and manipulation of biological computers, and particle swarm optimization techniques. Scientists, practitioners, and students in fields such as computing, mathematics, and molecular science will make use of this essential reference to explore current trends in natural computation and advance nature-inspired technologies to the next generation.
Improving Knowledge Discovery Through The Integration Of Data Mining Techniques
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Author : Usman, Muhammad
language : en
Publisher: IGI Global
Release Date : 2015-08-03
Improving Knowledge Discovery Through The Integration Of Data Mining Techniques written by Usman, Muhammad and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-03 with Computers categories.
Data warehousing is an important topic that is of interest to both the industry and the knowledge engineering research communities. Both data mining and data warehousing technologies have similar objectives and can potentially benefit from each other’s methods to facilitate knowledge discovery. Improving Knowledge Discovery through the Integration of Data Mining Techniques provides insight concerning the integration of data mining and data warehousing for enhancing the knowledge discovery process. Decision makers, academicians, researchers, advanced-level students, technology developers, and business intelligence professionals will find this book useful in furthering their research exposure to relevant topics in knowledge discovery.
Machine Learning And Knowledge Discovery For Engineering Systems Health Management
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Author : Ashok N. Srivastava
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Machine Learning And Knowledge Discovery For Engineering Systems Health Management written by Ashok N. Srivastava and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
This volume presents state-of-the-art tools and techniques for automatically detecting, diagnosing, and predicting the effects of adverse events in an engineered system. It emphasizes the importance of these techniques in managing the intricate interactions within and between engineering systems to maintain a high degree of reliability. Reflecting the interdisciplinary nature of the field, the book explains how the fundamental algorithms and methods of both physics-based and data-driven approaches effectively address systems health management in application areas such as data centers, aircraft, and software systems.
Machine Learning And Knowledge Discovery In Databases
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Author : José L. Balcázar
language : en
Publisher: Springer
Release Date : 2010-08-17
Machine Learning And Knowledge Discovery In Databases written by José L. Balcázar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-17 with Computers categories.
Annotation. This book constitutes the refereed proceedings of the joint conference on Machine Learning and Knowledge Discovery in Databases: ECML PKDD 2010, held in Barcelona, Spain, in September 2010. The 120 revised full papers presented in three volumes, together with 12 demos (out of 24 submitted demos), were carefully reviewed and selected from 658 paper submissions. In addition, 7 ML and 7 DM papers were distinguished by the program chairs on the basis of their exceptional scientific quality and high impact on the field. The conference intends to provide an international forum for the discussion of the latest high quality research results in all areas related to machine learning and knowledge discovery in databases. A topic widely explored from both ML and DM perspectives was graphs, with motivations ranging from molecular chemistry to social networks.