Discontinuity Nonlinearity And Complexity
DOWNLOAD
Download Discontinuity Nonlinearity And Complexity PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Discontinuity Nonlinearity And Complexity book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Discontinuity Nonlinearity And Complexity
DOWNLOAD
Author : Lev Ostrovsky
language : en
Publisher: L& H Scientific Publishing
Release Date : 2018-07-01
Discontinuity Nonlinearity And Complexity written by Lev Ostrovsky 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 Mathematics categories.
The interdisciplinary journal publishes original and new results on recent developments, discoveries and progresses on Discontinuity, Nonlinearity and Complexity in physical and social sciences. The aim of the journal is to stimulate more research interest for exploration of discontinuity, complexity, nonlinearity and chaos in complex systems. The manuscripts in dynamical systems with nonlinearity and chaos are solicited, which includes mathematical theories and methods, physical principles and laws, and computational techniques. The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences. 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. Topics of Interest Complex and hybrid dynamical systemsDiscontinuous dynamical systems (i.e., impulsive, time-delay, flow barriers)Nonlinear discrete systems and symbolic dynamicsFractional dynamical systems and controlStochastic dynamical systems and randomnessComplexity, self-similarity and synchronization in nonlinear physicsNonlinear phenomena and physical mechanismsStability, bifurcation and chaos in complex systemsHydrodynamics, turbulence and complexity mechanismNonlinear waves and solitonDynamical networksCombinatorial aspects of dynamical systemsBiological dynamics and biophysics
Toward Analytical Chaos In Nonlinear Systems
DOWNLOAD
Author : Albert C. J. Luo
language : en
Publisher: John Wiley & Sons
Release Date : 2014-05-27
Toward Analytical Chaos In Nonlinear Systems written by Albert C. J. Luo and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Technology & Engineering categories.
Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has developed an analytical technique that is more effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically. Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics. From the analytical solutions, the routes from periodic motions to chaos are developed analytically rather than the incomplete numerical routes to chaos. The analytical techniques presented will provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems. Key features: Presents the mathematical theory of analytical solutions of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems Covers nonlinear dynamical systems and nonlinear vibration systems Presents accurate, analytical solutions of stable and unstable periodic flows for popular nonlinear systems Includes two complete sample systems Discusses time-delayed, nonlinear systems and time-delayed, nonlinear vibrational systems Includes real world examples Toward Analytical Chaos in Nonlinear Systems is a comprehensive reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.
Nonlinear Dynamics And Complexity
DOWNLOAD
Author : Valentin Afraimovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Nonlinear Dynamics And Complexity written by Valentin Afraimovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Technology & Engineering categories.
This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems
DOWNLOAD
Author : Siyuan Xing
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems written by Siyuan Xing and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems.
Applications In Physics Part A
DOWNLOAD
Author : Vasily E. Tarasov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Applications In Physics Part A written by Vasily E. Tarasov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.
Recent Advancements In Computational Intelligence And Design Engineering
DOWNLOAD
Author : Dac-Nhuong Le
language : en
Publisher: CRC Press
Release Date : 2025-02-14
Recent Advancements In Computational Intelligence And Design Engineering written by Dac-Nhuong Le and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-14 with Technology & Engineering categories.
International Conference on Computational Intelligence and Design Engineering (ICCIDE 2023) is a multidisciplinary conference focused on bringing together recent advancements in the field of engineering, computer science and Mathematics. The key features of the conference include a common platform for research and innovation work related to next generation computation, Mathematics in computation as well as engineering research to achieve industry 5.0 mission. The conference covers different aspects of science and technology like applications of AI and ML for sustainable manufacturing and production systems, computational modelling, mathematics and computing.
Towards Analytical Chaotic Evolutions In Brusselators
DOWNLOAD
Author : Albert C.J. Luo
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Towards Analytical Chaotic Evolutions In Brusselators written by Albert C.J. Luo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles. The dynamics of the Brusselator gives an oscillating reaction mechanism for an autocatalytic, oscillating chemical reaction. The Brusselator is a slow-fast oscillating chemical reaction system. The traditional analytical methods cannot provide analytical solutions of such slow-fast oscillating reaction, and numerical simulations cannot provide a full picture of periodic evolutions in the Brusselator. In this book, the generalized harmonic balance methods are employed for analytical solutions of periodic evolutions of the Brusselator with a harmonic diffusion. The bifurcation tree of period-1 motion to chaos of the Brusselator is presented through frequency-amplitude characteristics, which be measured in frequency domains. Two main results presented in this book are: • analytical routes of periodical evolutions tochaos and • independent period-(2 + 1) evolution to chaos. This book gives a better understanding of periodic evolutions to chaos in the slow-fast varying Brusselator system, and the bifurcation tree of period-1 evolution to chaos is clearly demonstrated, which can help one understand routes of periodic evolutions to chaos in chemical reaction oscillators. The slow-fast varying systems extensively exist in biological systems and disease dynamical systems. The methodology presented in this book can be used to investigate the slow-fast varying oscillating motions in biological systems and disease dynamical systems for a better understanding of how infectious diseases spread.
Discretization And Implicit Mapping Dynamics
DOWNLOAD
Author : Albert C. J. Luo
language : en
Publisher: Springer
Release Date : 2015-07-30
Discretization And Implicit Mapping Dynamics written by Albert C. J. Luo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Science categories.
This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.
Mathematical Modeling And Intelligent Control For Combating Pandemics
DOWNLOAD
Author : Zakia Hammouch
language : en
Publisher: Springer Nature
Release Date : 2023-09-11
Mathematical Modeling And Intelligent Control For Combating Pandemics written by Zakia Hammouch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-11 with Science categories.
The contributions in this carefully curated volume, present cutting-edge research in applied mathematical modeling for combating COVID-19 and other potential pandemics. Mathematical modeling and intelligent control have emerged as powerful computational models and have shown significant success in combating any pandemic. These models can be used to understand how COVID-19 or other pandemics can spread, analyze data on the incidence of infectious diseases, and predict possible future scenarios concerning pandemics. This book also discusses new models, practical solutions, and technological advances related to detecting and analyzing COVID-19 and other pandemics based on intelligent control systems that assist decision-makers, managers, professionals, and researchers. Much of the book focuses on preparing the scientific community for the next pandemic, particularly the application of mathematical modeling and intelligent control for combating the Monkeypox virus and Langya Henipavirus.
Almost Periodicity Chaos And Asymptotic Equivalence
DOWNLOAD
Author : Marat Akhmet
language : en
Publisher: Springer
Release Date : 2019-06-20
Almost Periodicity Chaos And Asymptotic Equivalence written by Marat Akhmet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Technology & Engineering categories.
The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.