Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu.- Benford solutions of linear difference equations: Arno Berger and Gideon Eshun.- Harvesting and dynamics in some one-dimensional population models: Eduardo Liz and Frank M. Hilker.- Chaos and wild chaos in Lorenz-type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer.- Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas.- Advances in periodic difference equations with open problems: Ziyad AlSharawi, Jose S. Canovas and Antonio Linero.- An Evolutionary Beverton-Holt Model: J. M. Cushing.- The periodic decomposition problem: Balint Farkas and Szilard Gy. Revesz.- Existence of periodic and almost periodic solutions of discrete Ricker delay models: Yoshihiro Hamaya.- Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh Theory: Roman Simon Hilscher and Petr Zemanek.- Dynamic selection systems and replicator equations: Zdenek Pospsil.- Asymptotic equivalence of difference equations in Banach Space: Andrejs Reinfelds.
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Автор: Sanders J. A., Verhulst F., Murdock J. Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 0387489169 ISBN-13(EAN): 9780387489162 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
Автор: Haddad, Wassim M. Chellaboina, Vijaysekhar Название: Nonlinear dynamical systems and control ISBN: 0691133298 ISBN-13(EAN): 9780691133294 Издательство: Wiley Рейтинг: Цена: 22493.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. This graduate-level textbook is suitable for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Описание: This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.
Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Описание: "WhAM! Workshop. The aim of this volume is to showcase original research conducted by newly formed collaborative teams during the IMA`s Women in Applied Mathematics (WhAM!) Research Collaboration Conference on Dynamical Systems with Applications to Biology and Medicine"--Page vii.
Описание: This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields.
Описание: The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling.Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems.The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu.- Benford solutions of linear difference equations: Arno Berger and Gideon Eshun.- Harvesting and dynamics in some one-dimensional population models: Eduardo Liz and Frank M. Hilker.- Chaos and wild chaos in Lorenz-type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer.- Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas.- Advances in periodic difference equations with open problems: Ziyad AlSharawi, Jose S. Canovas and Antonio Linero.- An Evolutionary Beverton-Holt Model: J. M. Cushing.- The periodic decomposition problem: Balint Farkas and Szilard Gy. Revesz.- Existence of periodic and almost periodic solutions of discrete Ricker delay models: Yoshihiro Hamaya.- Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh Theory: Roman Simon Hilscher and Petr Zemanek.- Dynamic selection systems and replicator equations: Zdenek Pospsil.- Asymptotic equivalence of difference equations in Banach Space: Andrejs Reinfelds.
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Автор: L.A. Bunimovich; Ya.G. Sinai; S.G. Dani; R.L. Dobr Название: Dynamical Systems, Ergodic Theory and Applications ISBN: 364208561X ISBN-13(EAN): 9783642085611 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics.
Автор: Sundarapandian Vaidyanathan; Christos Volos Название: Advances and Applications in Nonlinear Control Systems ISBN: 3319301675 ISBN-13(EAN): 9783319301679 Издательство: Springer Рейтинг: Цена: 23508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Kinematic Control of a Robot by using Non-autonomous Chaotic Systems.- Nonlinear Observer Design for Chaotic Systems.- Nonlinear Observer Design for Population Biology Systems.- Output Regulation of Vaidyanathan 3-D Jerk Chaotic System.- General Observer Design for Continuous-Time and Discrete-Time Nonlinear Control Systems.- Generalized Projective Synchronization of Vaidyanathan Chaotic System via Active and Adaptive Control.- Adaptive Backstepping Control and Synchronization of Chlouverakis-Sprott Hyperjerk System.- Anti-Synchronization of Hyperchaotic Systems via Novel Sliding Mode Control Method and its Application to Vaidyanathan Hyperjerk Hyperchaotic System.- Sliding Mode Control with State Derivative Feedback in Novel Reciprocal State Space Form.- Active Controller Design for the Output Regulation of Vaidyanathan Hyperjerk System.- Analysis, Control and Synchronization of a Novel Highly Chaotic System with Three Quadratic Nonlinearities.- A No-Equilibrium Novel Highly Hyperchaotic System with Four Quadratic Nonlinearities and its Adaptive Control.- Identification, Stability and Stabilization of Limit Cycles in a Compass-Gait Biped Model via a Hybrid Poincarй Map.- Explicit Delay-Dependent Stability Criteria for Nonlinear Distributed Parameter Systems.- The Case of Bidirectionally Coupled Nonlinear Circuits via a Memristor.- Fuzzy Adaptive Sliding-Mode Control Scheme for Uncertain Underactuated Systems.- Unstable PLL-Controller as FM Modulator and Detection of Modulating Self-Oscillations.- Application of Time-Delayed Feedback Control Techniques in Digital Phase-Locked Loop.- Modeling and Predictive Control of Nonlinear Hybrid Systems using Mixed Logical.- Dynamical Formalism.- A Non-Linear Decentralized Control of Multimachine Power Systems based on a Backstepping Approach.- Diving Autopilot Design for Underwater Vehicles using an Adaptive Neuro-Fuzzy Sliding Mode Controller.- Variable Structure Sensorless Control of PMSM Drives.- Sliding Mode Control of Induction Generator Wind Turbine connected to the Grid.- Iterative Learning Control for Affine and Non Affine Linear Systems.- On Nonlinear Robust Adaptive Control: Application on Electro-Hydraulic Valve System.- Nonlinear Discrete Time Sliding Mode Control applied to a Pumping System.- Design of a Controller of Switched Nonlinear Systems based on Multiple Lyapunov Functions.- Nonlinear Sliding Mode Observer for Tire Pressure Monitoring.- Global Stabilization of Switched Nonlinear Systems using Backstepping Approach: Applications to Chemical Processes.- Second Order Sliding Mode Based Synchronization Control for Cooperative Robot Manipulators.
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