Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis PDF Author: Changpin Li
Publisher: World Scientific
ISBN: 9814436461
Category : Science
Languages : en
Pages : 414

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Book Description
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.

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis PDF Author: Changpin Li
Publisher: World Scientific
ISBN: 9814436461
Category : Science
Languages : en
Pages : 414

Get Book Here

Book Description
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.

Applied Nonlinear Dynamics

Applied Nonlinear Dynamics PDF Author: Ali H. Nayfeh
Publisher: John Wiley & Sons
ISBN: 3527617558
Category : Science
Languages : en
Pages : 700

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Book Description
A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023

Advances in Applied Nonlinear Dynamics, Vibration, and Control – 2023 PDF Author: Xingjian Jing
Publisher: Springer Nature
ISBN: 9819705541
Category :
Languages : en
Pages : 911

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Book Description


Basic Theory

Basic Theory PDF Author: Anatoly Kochubei
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110571625
Category : Mathematics
Languages : en
Pages : 490

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Book Description
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 first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Hilbert-huang Transform And Its Applications (2nd Edition)

Hilbert-huang Transform And Its Applications (2nd Edition) PDF Author: Norden E Huang
Publisher: World Scientific
ISBN: 981450825X
Category : Mathematics
Languages : en
Pages : 399

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Book Description
This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD.The book also provides a platform for researchers to develop the HHT method further and to identify more applications.

Hilbert-Huang Transform and Its Applications

Hilbert-Huang Transform and Its Applications PDF Author: Norden Eh Huang
Publisher: World Scientific
ISBN: 9814508241
Category : Mathematics
Languages : en
Pages : 399

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Book Description
This book is written for scientists and engineers who use HHT (HilbertOCoHuang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications. Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering.

Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition)

Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) PDF Author: David N Cheban
Publisher: World Scientific
ISBN: 9814619841
Category : Mathematics
Languages : en
Pages : 616

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Book Description
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.

Stochastic Pdes And Modelling Of Multiscale Complex System

Stochastic Pdes And Modelling Of Multiscale Complex System PDF Author: Xiaopeng Chen
Publisher: World Scientific
ISBN: 981120036X
Category : Mathematics
Languages : en
Pages : 238

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Book Description
This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject. We also take this opportunity to celebrate the contributions of Professor Anthony J Roberts, an internationally leading figure on the occasion of his 60th years birthday in 2017.

Kernel-based Approximation Methods Using Matlab

Kernel-based Approximation Methods Using Matlab PDF Author: Gregory E Fasshauer
Publisher: World Scientific Publishing Company
ISBN: 9814630152
Category : Mathematics
Languages : en
Pages : 537

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Book Description
In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.

Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju

Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju PDF Author: Zhen-qing Chen
Publisher: World Scientific
ISBN: 981459654X
Category : Mathematics
Languages : en
Pages : 618

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Book Description
This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.