Global Attractors Of Non Autonomous Dynamical And Control Systems 2nd Edition

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

Cheban David N

Author : Cheban David N
Publisher : World Scientific
Page : 616 pages
File Size : 41,5 Mb
Release : 2014-12-15
Category : Mathematics
ISBN : 9789814619844

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Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) by Cheban David N Pdf

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.

Global Attractors of Non-autonomous Dissipative Dynamical Systems

David N. Cheban

Author : David N. Cheban
Publisher : World Scientific
Page : 524 pages
File Size : 55,9 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812563088

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Global Attractors of Non-autonomous Dissipative Dynamical Systems by David N. Cheban Pdf

An Introduction To Nonautonomous Dynamical Systems And Their Attractors

Peter Kloeden,Meihua Yang

Author : Peter Kloeden,Meihua Yang
Publisher : World Scientific
Page : 157 pages
File Size : 52,8 Mb
Release : 2020-11-25
Category : Mathematics
ISBN : 9789811228674

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An Introduction To Nonautonomous Dynamical Systems And Their Attractors by Peter Kloeden,Meihua Yang Pdf

The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a 'Thousand Expert' Professorship at the Huazhong University of Science and Technology in Wuhan.

Nonautonomous Dynamics

David N. Cheban

Author : David N. Cheban
Publisher : Springer Nature
Page : 434 pages
File Size : 46,7 Mb
Release : 2020-01-22
Category : Mathematics
ISBN : 9783030342920

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Nonautonomous Dynamics by David N. Cheban Pdf

This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).

Dissipative Lattice Dynamical Systems

Xiaoying Han,Peter Kloeden

Author : Xiaoying Han,Peter Kloeden
Publisher : World Scientific
Page : 381 pages
File Size : 50,5 Mb
Release : 2023-03-14
Category : Mathematics
ISBN : 9789811267772

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Dissipative Lattice Dynamical Systems by Xiaoying Han,Peter Kloeden Pdf

There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is asymptotically compact in some way.There is now a very large literature on lattice dynamical systems, especially on attractors of all kinds in such systems. We cannot hope to do justice to all of them here. Instead, we have focused on key areas of representative types of lattice systems and various types of attractors. Our selection is biased by our own interests, in particular to those dealing with biological applications. One of the important results is the approximation of Heaviside switching functions in LDS by sigmoidal functions.Nevertheless, we believe that this book will provide the reader with a solid introduction to the field, its main results and the methods that are used to obtain them.

Stochastic Pdes And Modelling Of Multiscale Complex System

Wang Wei,Chen Xiaopeng,Lv Yan

Author : Wang Wei,Chen Xiaopeng,Lv Yan
Publisher : World Scientific
Page : 240 pages
File Size : 43,7 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9789811200366

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Stochastic Pdes And Modelling Of Multiscale Complex System by Wang Wei,Chen Xiaopeng,Lv Yan Pdf

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

Gregory Fasshauer,Michael McCourt

Author : Gregory Fasshauer,Michael McCourt
Publisher : World Scientific Publishing Company
Page : 536 pages
File Size : 48,9 Mb
Release : 2015-07-30
Category : Mathematics
ISBN : 9789814630153

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Kernel-based Approximation Methods using MATLAB by Gregory Fasshauer,Michael McCourt Pdf

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

Zhen-Qing Chen,Niels Jacob,Masayoshi Takeda,Toshihiro Uemura

Author : Zhen-Qing Chen,Niels Jacob,Masayoshi Takeda,Toshihiro Uemura
Publisher : World Scientific
Page : 620 pages
File Size : 47,9 Mb
Release : 2014-11-27
Category : Mathematics
ISBN : 9789814596541

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Festschrift Masatoshi Fukushima by Zhen-Qing Chen,Niels Jacob,Masayoshi Takeda,Toshihiro Uemura Pdf

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. Contents:Professor Fukushima's Work:The Mathematical Work of Masatoshi Fukushima — An Essay (Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura)Bibliography of Masatoshi FukushimaContributions:Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem (Sergio Albeverio, Zhi-Ming Ma and Michael Röckner)Comparison of Quenched and Annealed Invariance Principles for Random Conductance Model: Part II (Martin Barlow, Krzysztof Burdzy and Adám Timár)Some Historical Aspects of Error Calculus by Dirichlet Forms (Nicolas Bouleau)Stein's Method, Malliavin Calculus, Dirichlet Forms and the Fourth Moment Theorem (Louis H Y Chen and Guillaume Poly)Progress on Hardy-Type Inequalities (Mu-Fa Chen)Functional Inequalities for Pure-Jump Dirichlet Forms (Xin Chen, Feng-Yu Wang and Jian Wang)Additive Functionals and Push Forward Measures Under Veretennikov's Flow (Shizan Fang and Andrey Pilipenko)On a Result of D W Stroock (Patrick J Fitzsimmons)Consistent Risk Measures and a Non-Linear Extension of Backwards Martingale Convergence (Hans Föllmer and Irina Penner)Unavoidable Collections of Balls for Processes with Isotropic Unimodal Green Function (Wolfhard Hansen)Functions of Locally Bounded Variation on Wiener Spaces (Masanori Hino)A Dirichlet Space on Ends of Tree and Superposition of Nodewise Given Dirichlet Forms with Tier Linkage (Hiroshi Kaneko)Dirichlet Forms in Quantum Theory (Witold Karwowski and Ludwig Streit)On a Stability of Heat Kernel Estimates under Generalized Non-Local Feynman-Kac Perturbations for Stable-Like Processes (Daehong Kim and Kazuhiro Kuwae)Martin Boundary for Some Symmetric Lévy Processes (Panki Kim, Renming Song and Zoran Vondraček)Level Statistics of One-Dimensional Schrödinger Operators with Random Decaying Potential (Shinichi Kotani and Fumihiko Nakano)Perturbation of the Loop Measure (Yves Le Jan and Jay Rosen)Regular Subspaces of Dirichlet Forms (Liping Li and Jiangang Ying)Quasi-Regular Semi-Dirichlet Forms and Beyond (Zhi-Ming Ma, Wei Sun and Li-Fei Wang)Large Deviation Estimates for Controlled Semi-Martingales (Hideo Nagai)A Comparison Theorem for Backward SPDEs with Jumps (Bernt Øksendal, Agnès Sulem and Tusheng Zhang)On a Construction of a Space-Time Diffusion Process with Boundary Condition (Yoichi Oshima)Lower Bounded Semi-Dirichlet Forms Associated with Lévy Type Operators (René L Schilling and Jian Wang)Ultracontractivity for Non-Symmetric Markovian Semigroups (Ichiro Shigekawa)Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (Karl-Theodor Sturm)Intrinsic Ultracontractivity and Semi-Small Perturbation for Skew Product Diffusion Operators (Matsuyo Tomisaki) Readership: Researchers in probability, stochastic analysis and mathematical physics. Key Features:Research papers by leading expertsHistorical account of M Fukushima's contribution to mathematicsAuthoritative surveys on the state of the art in the fieldKeywords:Probability Theory;Markov Processes;Dirichlet Forms;Potential Theory;Mathematical Physics

Analysis, Applications, and Computations

Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas

Author : Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas
Publisher : Springer Nature
Page : 696 pages
File Size : 53,9 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031363757

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Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Microwave RF Antennas and Circuits

Ofer Aluf

Author : Ofer Aluf
Publisher : Springer
Page : 1060 pages
File Size : 43,6 Mb
Release : 2016-12-01
Category : Technology & Engineering
ISBN : 9783319454276

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Microwave RF Antennas and Circuits by Ofer Aluf Pdf

This book describes a new concept for analyzing RF/microwave circuits, which includes RF/microwave antennas. The book is unique in its emphasis on practical and innovative microwave RF engineering applications. The analysis is based on nonlinear dynamics and chaos models and shows comprehensive benefits and results. All conceptual RF microwave circuits and antennas are innovative and can be broadly implemented in engineering applications. Given the dynamics of RF microwave circuits and antennas, they are suitable for use in a broad range of applications. The book presents analytical methods for microwave RF antennas and circuit analysis, concrete examples, and geometric examples. The analysis is developed systematically, starting with basic differential equations and their bifurcations, and subsequently moving on to fixed point analysis, limit cycles and their bifurcations. Engineering applications include microwave RF circuits and antennas in a variety of topological structures, RFID ICs and antennas, microstrips, circulators, cylindrical RF network antennas, Tunnel Diodes (TDs), bipolar transistors, field effect transistors (FETs), IMPATT amplifiers, Small Signal (SS) amplifiers, Bias-T circuits, PIN diode circuits, power amplifiers, oscillators, resonators, filters, N-turn antennas, dual spiral coil antennas, helix antennas, linear dipole and slot arrays, and hybrid translinear circuits. In each chapter, the concept is developed from the basic assumptions up to the final engineering outcomes. The scientific background is explained at basic and advanced levels and closely integrated with mathematical theory. The book also includes a wealth of examples, making it ideal for intermediate graduate level studies. It is aimed at electrical and electronic engineers, RF and microwave engineers, students and researchers in physics, and will also greatly benefit all engineers who have had no formal instruction in nonlinear dynamics, but who now desire to bridge the gap between innovative microwave RF circuits and antennas and advanced mathematical analysis methods.

Attractors Under Autonomous and Non-autonomous Perturbations

Matheus C. Bortolan,Alexandre N. Carvalho,José A. Langa

Author : Matheus C. Bortolan,Alexandre N. Carvalho,José A. Langa
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 54,9 Mb
Release : 2020-05-29
Category : Education
ISBN : 9781470453084

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Attractors Under Autonomous and Non-autonomous Perturbations by Matheus C. Bortolan,Alexandre N. Carvalho,José A. Langa Pdf

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability. This book is aimed at graduate students and researchers interested in dissipative dynamical systems and stability theory, and requires only a basic background in metric spaces, functional analysis and, for the applications, techniques of ordinary and partial differential equations.

Applied Nonautonomous and Random Dynamical Systems

Tomás Caraballo,Xiaoying Han

Author : Tomás Caraballo,Xiaoying Han
Publisher : Springer
Page : 108 pages
File Size : 44,8 Mb
Release : 2017-01-31
Category : Mathematics
ISBN : 9783319492476

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Applied Nonautonomous and Random Dynamical Systems by Tomás Caraballo,Xiaoying Han Pdf

This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.

Global Attractors of Set-valued Dynamical and Control Systems

David N. Cheban

Author : David N. Cheban
Publisher : Unknown
Page : 0 pages
File Size : 53,5 Mb
Release : 2010
Category : Attractors (Mathematics)
ISBN : 1616680210

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Global Attractors of Set-valued Dynamical and Control Systems by David N. Cheban Pdf

In this book the results on set-valued dynamical systems (dynamical systems without uniqueness) and some adjoining problems are studied. A part of the book is dedicated to the study of global attractors of control systems (as application of our general results concerning the compact global attractors of general set-valued dynamical systems). This book is the first to study the global attractors of set-valued dynamical and control systems. The basic results are contained in the courses of lectures which author has given during many years.

An Introduction to Nonautonomous Dynamical Systems and Their Attractors

Meihua Yang (Professor of Mathematics),Peter E. Kloeden

Author : Meihua Yang (Professor of Mathematics),Peter E. Kloeden
Publisher : Unknown
Page : 144 pages
File Size : 43,5 Mb
Release : 2020
Category : Attractors (Mathematics)
ISBN : 9811228663

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An Introduction to Nonautonomous Dynamical Systems and Their Attractors by Meihua Yang (Professor of Mathematics),Peter E. Kloeden Pdf

Dynamical systems. Autonomous dynamical systems. Nonautonomous dynamical systems : processes. Skew product flows. Entire solutions and invariant sets -- Pullback attractors. Attractors. Nonautonomous equilibrium solutions. Attractors for processes. Examples of pullback attractors for processes. Attractors of skew product flows -- Forward attractors and attracting sets. Limitations of pullback attractors of processes. Forward attractors. Omega-limit sets and forward attracting sets -- Random aattractors. Random dynamical systems. Mean-square random dynamical systems.

Biomechatronics

Marko B. Popovic

Author : Marko B. Popovic
Publisher : Academic Press
Page : 668 pages
File Size : 49,8 Mb
Release : 2019-04-04
Category : Technology & Engineering
ISBN : 9780128130414

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Biomechatronics by Marko B. Popovic Pdf

Biomechatronics is rapidly becoming one of the most influential and innovative research directions defining the 21st century. Biomechatronics will provide a complete and up-to-date account of this advanced subject at the university textbook level. Each chapter in this book will be co-authored by top industry experts in the corresponding subfield, and will be led by Professor Marko B. Popovic, researcher and educator at the forefront of advances in the biomechatronics field. Beginning with an introduction to the field and its historical background, this book will delve into the most groundbreaking and recent developments in biomechatronics, such as artificial organs and tissues, prosthetic limbs, orthotic systems, wearable systems for physical augmentation, physical therapy and rehabilitation, robotic surgery, and natural and synthetic sensors. The only biomechatronics textbook written especially for students at a university level Ideal for undergraduate and graduate students and researchers in the biomechatronics, biomechanics, robotics, and biomedical engineering fields Provides an overview of state-of-the-art science and technology of modern day biomechatronics, introduced by the leading experts in this fascinating field

Global Attractors Of Non Autonomous Dynamical And Control Systems 2nd Edition

Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) by Cheban David N Pdf

Global Attractors of Non-autonomous Dissipative Dynamical Systems by David N. Cheban Pdf

An Introduction To Nonautonomous Dynamical Systems And Their Attractors by Peter Kloeden,Meihua Yang Pdf

Nonautonomous Dynamics by David N. Cheban Pdf

Dissipative Lattice Dynamical Systems by Xiaoying Han,Peter Kloeden Pdf

Stochastic Pdes And Modelling Of Multiscale Complex System by Wang Wei,Chen Xiaopeng,Lv Yan Pdf

Kernel-based Approximation Methods using MATLAB by Gregory Fasshauer,Michael McCourt Pdf

Festschrift Masatoshi Fukushima by Zhen-Qing Chen,Niels Jacob,Masayoshi Takeda,Toshihiro Uemura Pdf

Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf

Microwave RF Antennas and Circuits by Ofer Aluf Pdf

Attractors Under Autonomous and Non-autonomous Perturbations by Matheus C. Bortolan,Alexandre N. Carvalho,José A. Langa Pdf

Applied Nonautonomous and Random Dynamical Systems by Tomás Caraballo,Xiaoying Han Pdf

Global Attractors of Set-valued Dynamical and Control Systems by David N. Cheban Pdf

An Introduction to Nonautonomous Dynamical Systems and Their Attractors by Meihua Yang (Professor of Mathematics),Peter E. Kloeden Pdf

Biomechatronics by Marko B. Popovic Pdf

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