Problems And Solutions Nonlinear Dynamics Chaos And Fractals
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Problems And Solutions Nonlinear Dynamics Chaos And Fractals
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-03-02
Problems And Solutions Nonlinear Dynamics Chaos And Fractals written by Willi-hans Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Science categories.
This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems.The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.
Problems And Solutions
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Author : W.-H. Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016
Problems And Solutions written by W.-H. Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Chaotic behavior in systems categories.
One-dimensional maps -- Higher-dimensional maps and complex maps -- Fractals
Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
From Fractals And Cellular Automata To Biology Information As Order Hidden Within Chance
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Author : Alberto Strumia
language : en
Publisher: World Scientific
Release Date : 2020-07-02
From Fractals And Cellular Automata To Biology Information As Order Hidden Within Chance written by Alberto Strumia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Science categories.
The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.
Chaos Bifurcations And Fractals Around Us A Brief Introduction
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Author : Wanda Szemplinska-stupnicka
language : en
Publisher: World Scientific
Release Date : 2003-11-11
Chaos Bifurcations And Fractals Around Us A Brief Introduction written by Wanda Szemplinska-stupnicka and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-11 with Technology & Engineering categories.
During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared. These academic tomes are intended for graduate students and require a deep knowledge of comprehensive, advanced mathematics. There is a need for a book that is accessible to general readers, a book that makes it possible to get a good deal of knowledge about complex chaotic phenomena in nonlinear oscillators without deep mathematical study.Chaos, Bifurcations and Fractals Around Us: A Brief Introduction fills that gap. It is a very short monograph that, owing to geometric interpretation complete with computer color graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics. This invaluable publication is also addressed to lecturers in engineering departments who want to include selected nonlinear problems in full time courses on general mechanics, vibrations or physics so as to encourage their students to conduct further study.
Nonlinear Dynamics Chaos And Fractals With Applications To Geological Systems
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Author : Geological Association of Canada
language : en
Publisher: St. John's, Nfld. : Geological Association of Canada
Release Date : 1991
Nonlinear Dynamics Chaos And Fractals With Applications To Geological Systems written by Geological Association of Canada and has been published by St. John's, Nfld. : Geological Association of Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Chaos categories.
Multi Chaos Fractal And Multi Fractional Artificial Intelligence Of Different Complex Systems
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Author : Yeliz Karaca
language : en
Publisher: Academic Press
Release Date : 2022-06-22
Multi Chaos Fractal And Multi Fractional Artificial Intelligence Of Different Complex Systems written by Yeliz Karaca and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-22 with Science categories.
Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. - Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. - Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. - Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
Journal Of Applied Nonlinear Dynamics
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Author : J. A. Tenreiro Machado
language : en
Publisher: L& H Scientific Publishing
Release Date : 2018-07-01
Journal Of Applied Nonlinear Dynamics written by J. A. Tenreiro Machado and has been published by L& H Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-01 with categories.
The interdisciplinary journal publishes original and new research results on Applied Nonlinear Dynamics in science and engineering. The aim of the journal is to stimulate more research interest and attention for nonlinear dynamical behaviors and engineering nonlinearity for design. The manuscripts in complex dynamical systems with nonlinearity and chaos are solicited, which includes physical mechanisms of complex systems and engineering applications of nonlinear dynamics. The journal provides a place to researchers for the rapid exchange of ideas and techniques in nonlinear dynamics and engineering nonlinearity for design. No length limitations for contributions are set, but only concisely written manuscripts are published. Brief papers are published on the basis of Technical Notes. Discussions of previous published papers are welcome. Audience Physicists, Engineers, Mathematicians, Earth and Environmental Scientists involved in Nonlinear Science and Numerical Simulation. Topics of Interest Complex dynamics in engineeringNonlinear vibration and dynamics for designNonlinear dynamical systems and controlFractional dynamics and applicationsChemical dynamics and bio-systemsEconomical dynamics and predictionsDynamical systems synchronizationBio-mechanical systems and devicesNonlinear structural dynamicsNonlinear multi-body dynamicsMultiscale wave propagation in materialsNonlinear rotor dynamicsNonlinear waves and acoustics
Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis
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Author : Changpin Li
language : en
Publisher: World Scientific
Release Date : 2013
Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis written by Changpin Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.