Tag Archives: Periodic

Chaotic Synchronization: Applications to Living Systems

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Erik Mosekilde, "Chaotic Synchronization: Applications to Living Systems"
English | ISBN: 9810247893 | 2002 | 440 pages | PDF | 30 MB

Chaotic Synchronization: Applications to Living Systems
Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level. This book is a guide to the concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps, over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization. The biological examples include synchronization of the bursting behaviour of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighbouring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors. This book should be of interest to students and researchers interested in applying new concepts of chaotic synchronization and clustering to biological systems.
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Chaotic Synchronization: Applications to Living Systems

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Erik Mosekilde, "Chaotic Synchronization: Applications to Living Systems"
English | ISBN: 9810247893 | 2002 | 440 pages | PDF | 30 MB

Chaotic Synchronization: Applications to Living Systems
Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level. This book is a guide to the concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps, over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization. The biological examples include synchronization of the bursting behaviour of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighbouring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors. This book should be of interest to students and researchers interested in applying new concepts of chaotic synchronization and clustering to biological systems.
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Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues

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Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues
by Wei Ren, Yongcan Cao
English | 2010 | ISBN: 0857291688 | 328 pages | PDF | 4.84 MB

Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues
"Distributed Coordination of Multi-agent Networks introduces problems, models, and issues such as collective periodic motion coordination, collective tracking with a dynamic leader, and containment control with multiple leaders, and explores ideas for their solution."
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Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues

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Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues
by Wei Ren, Yongcan Cao
English | 2010 | ISBN: 0857291688 | 328 pages | PDF | 4.84 MB

Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues
"Distributed Coordination of Multi-agent Networks introduces problems, models, and issues such as collective periodic motion coordination, collective tracking with a dynamic leader, and containment control with multiple leaders, and explores ideas for their solution."
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Service Parts Management: Demand Forecasting and Inventory Control

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Service Parts Management: Demand Forecasting and Inventory Control by Nezih Altay and Lewis A. Litteral
English | 2011-03-28 | ISBN: 085729038X | PDF | 360 pages | 3 MB

Service Parts Management: Demand Forecasting and Inventory Control
With the pressure of time-based competition increasing, and customers demanding faster service, availability of service parts becomes a critical component of manufacturing and servicing operations. Service Parts Management first focuses on intermittent demand forecasting and then on the management of service parts inventories. It guides researchers and practitioners in finding better management solutions to their problems and is both an excellent reference for key concepts and a leading resource for further research. Demand forecasting techniques are presented for parametric and nonparametric approaches, and multi echelon cases and inventory pooling are also considered. Inventory control is examined in the continuous and periodic review cases, while the following are all examined in the context of forecasting: • error measures, • distributional assumptions, and • decision trees. Service Parts Management provides the reader with an overview and a detailed treatment of the current state of the research available on the forecasting and inventory management of items with intermittent demand. It is a comprehensive review of service parts management and provides a starting point for researchers, postgraduate students, and anyone interested in forecasting or managing inventory.
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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory

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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory (Colloquium Publications) by Barry Simon
English | 2009 | ISBN: 0821848631 | 466 pages | PDF | 26,6 MB

Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg 's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by z (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.

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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory

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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory (Colloquium Publications) by Barry Simon
English | 2009 | ISBN: 0821848631 | 466 pages | PDF | 26,6 MB

Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg 's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by z (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.

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Topics On Stability And Periodicity In Abstract Differential Equations

James H. Liu, Gaston M. N'Guerekata, "Topics On Stability And Periodicity In Abstract Differential Equations"
2008 | ISBN-10: 9812818235 | 220 pages | PDF | 3,5 MB
This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas.
Contents: Stability and Exponential Dichotomy; Almost Periodic Solutions; Almost Automorphic Solutions; Nonlinear Equations.

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