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Higher-Order Systems, Battiston Federico, Petri Giovanni


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Автор: Battiston Federico, Petri Giovanni
Название:  Higher-Order Systems
ISBN: 9783030913731
Издательство: Springer
Классификация:



ISBN-10: 3030913732
Обложка/Формат: Hardcover
Страницы: 444
Вес: 0.79 кг.
Дата издания: 28.05.2022
Серия: Understanding complex systems
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 100 tables, color; 84 illustrations, color; 28 illustrations, black and white; x, 433 p. 112 illus., 84 illus. in color.
Размер: 23.39 x 15.60 x 2.54 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The book discusses the potential of higher-order interactions to model real-world relational systems. Over the last decade, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.
Дополнительное описание: Higher-order systems as a modelling framework.- Graphs, simplicial complexes and hypergraphs: Spectral theory and topology.- Random Simplicial Complexes: Models and Phenomena.- Topological Data Analysis.- Flow-based Community Detection in Hypergraphs.- Pa



Order: Advanced Problems of Phase Transition Theory

Автор: Holovatch Yurij
Название: Order: Advanced Problems of Phase Transition Theory
ISBN: 9814632678 ISBN-13(EAN): 9789814632676
Издательство: World Scientific Publishing
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Цена: 13939.00 р.
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Описание:

This book is the fourth in the series of review papers on advanced problems of phase transitions and critical phenomena, the first three volumes appeared in 2004, 2007, and 2012. It presents reviews in those aspects of criticality and related subjects that have currently attracted much attention due to new and essential contributions. The contents are divided into five chapters, and they include: anomalous diffusion, kinetics of pattern formation, scaling, renormalization group approaches in soft matter and socio-physics, Monte Carlo simulation of critical Casimir forces.

As with the first three volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" -- a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in these fields with university students and those who are interested in the subject.

Order,Disorder and Chaos in Quantum Systems

Автор: Exner; Neidhardt
Название: Order,Disorder and Chaos in Quantum Systems
ISBN: 3034873085 ISBN-13(EAN): 9783034873086
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems.

Advances in Synchronization of Coupled Fractional Order Systems

Автор: Mart?nez-Guerra
Название: Advances in Synchronization of Coupled Fractional Order Systems
ISBN: 3319939459 ISBN-13(EAN): 9783319939452
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Preface.- Introduction.- Basic Concepts and Preliminares.- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications.- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach.- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer.- Estimators for a class of commensurate fractional order systems with Caputo derivative.- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller.- An Observer for a Class of Incommensurate Fractional Order Systems.- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators.- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer.- Appendix.- Index.

General Parabolic Mixed Order Systems in Lp and Applications

Автор: Robert Denk; Mario Kaip
Название: General Parabolic Mixed Order Systems in Lp and Applications
ISBN: 331937592X ISBN-13(EAN): 9783319375922
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This text establishes a theory for general linear parabolic partial differential equations that covers equations with inhomogeneous symbol structure as well as mixed-order systems.

Soft Order in Physical Systems

Автор: R. Bruinsma; Y. Rabin
Название: Soft Order in Physical Systems
ISBN: 1461360463 ISBN-13(EAN): 9781461360469
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of a NATO ARW held in honor of Shlomo Alexander in Les Houches, France, February 16-25, 1993

General Parabolic Mixed Order Systems in Lp and Applications

Автор: Robert Denk; Mario Kaip
Название: General Parabolic Mixed Order Systems in Lp and Applications
ISBN: 3319019996 ISBN-13(EAN): 9783319019994
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
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Описание: This text establishes a theory for general linear parabolic partial differential equations that covers equations with inhomogeneous symbol structure as well as mixed-order systems.

Advances in Synchronization of Coupled Fractional Order Systems

Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi
Название: Advances in Synchronization of Coupled Fractional Order Systems
ISBN: 3030067521 ISBN-13(EAN): 9783030067526
Издательство: Springer
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Цена: 6986.00 р.
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Описание: After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems.

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6

Автор: Yurij Holovatch
Название: Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6
ISBN: 9811216215 ISBN-13(EAN): 9789811216213
Издательство: World Scientific Publishing
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Цена: 15840.00 р.
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Описание:

This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.

As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" -- a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.

The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications

Автор: Norbert Kroll; Heribert Bieler; Herman Deconinck;
Название: ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications
ISBN: 3642264409 ISBN-13(EAN): 9783642264405
Издательство: Springer
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Цена: 61352.00 р.
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Описание: This volume contains results gained from the EU-funded 6th Framework project ADIGMA (Adaptive Higher-order Variational Methods for Aerodynamic Applications in Industry).

QCD Higher-Order Effects and Search for New Physics

Автор: Jian Wang
Название: QCD Higher-Order Effects and Search for New Physics
ISBN: 3662486717 ISBN-13(EAN): 9783662486719
Издательство: Springer
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Цена: 14365.00 р.
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Описание: This book mainly investigates the precision predictions on the signal of new physics at the Large Hadron Collider (LHC) in the perturbative Quantum Chromodynamics (QCD) scheme. The potential of the LHC to discover the signal of dark matter associated production with a photon is studied after including next-to-leading order QCD corrections.

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Автор: Carl-Fredrik Westin; Anna Vilanova; Bernhard Burge
Название: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data
ISBN: 3662512572 ISBN-13(EAN): 9783662512579
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al.- Tensor Invariants and Glyph Design: A. Kratz et al.- Part II: Representation and Processing of Higher-order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al.- Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al.- Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al.- Part III: Higher Order Tensors and Riemannian-Finsler Geometry: Higher-Order Tensors in Diffusion Imaging: Thomas Schultz et al.- 4th Order Symmetric Tensors and Positive ADC Modelling: A. Ghosh et al.- Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging: L.Florack et al.- Riemann-Finsler Multi-Valued Geodesic Tractography for HARDI: N.Sepasian et al.- Part IV: Tensor Signal Processing: Kernel-based Morphometry of Diffusion Tensor Images: M. Ingalhalikar et al.- The Estimation of Free-Water Corrected Diffusion Tensors: O. Pasternak et al.- Techniques for Computing Fabric Tensors: A Review: R. Moreno et al.- Part V: Applications of tensor processing: Tensors in Geometry Processing: E. Zhang.- Preliminary findings in diagnostic prediction of schizophrenia using diffusion tensor imaging: Y.Rathi et al.- A System for Combined Visualization of EEG and Diffusion Tensor Imaging Tractography Data: A. Wiebel et al.

The Geometry of Higher-Order Lagrange Spaces

Автор: R. Miron
Название: The Geometry of Higher-Order Lagrange Spaces
ISBN: 9048147891 ISBN-13(EAN): 9789048147892
Издательство: Springer
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Цена: 30327.00 р.
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Описание: This monograph is mostly devoted to the problem of the geome- trizing of Lagrangians which depend on higher order accelerations. It naturally prolongs the theme of the monograph "The Geometry of La- grange spaces: Theory and Applications," written together with M. Anastasiei and published by Kluwer Academic Publishers in 1994. The existence of Lagrangians of order k > 1 has been contemplated by mechanicists and physicists for a long time. Einstein had grasped their presence in connection with the Brownian motion. They are also present in relativistic theories based on metrics which depend on speeds and accelerations of particles or in the Hamiltonian formulation of non- linear systems given by Korteweg-de Vries equations. There resulted from here the methods to be adopted in their theoretical treatment. One is based on the variational problem involving the integral action of the Lagrangian. A second one is derived from the axioms of Analytical Mechanics involving the Poincare-Cartan forms. The geometrical methods based on the study of the geometries of higher order could invigorate the whole theory. This is the way adopted by us in defining and studying the Lagrange spaces of higher order. The problems raised by the geometrization of Lagrangians of order k > 1 investigated by many scholars: Ch. Ehresmann, P. Libermann, J. Pommaret; J.T. Synge, M. Crampin, P. Saunders; G.S. Asanov, P.Aringazin; I. Kolar, D. Krupka; M. de Leon, W. Sarlet, P. Cantrjin, H. Rund, W.M. Tulczyjew, A. Kawaguchi, K. Yano, K. Kondo, D.


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