الصفحة 1
الصفحة 1
Nonlinear Physical Oceanography : A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño
Taken from a review of the first edition in SIAM:"This text is different from most others in that it combines several different disciplines and draws on many scientific studies in order to deduce mechanisms of ocean circulation.
Nonlinear Oscillations of Hamiltonian PDEs
After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz resonant center theorems,the author develops the analogous theory for completely resonant nonlinear wave equations. Within this theory, both problems of small divisors and infinite bifurcation phenomena occur, requiring the use of Nash–Moser theory as well as minimax variational methods. These techniques are presented in a self-contained manner together with other basic notions of Hamiltonian PDEs and number theory.
Nonlinear Oscillations in Mechanical Engineering
Nonlinear Oscillations in Mechanical Engineering explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions.
Non-Linear Electromechanics
This is the first book in which problems of electromechanics are considered from the perspective of analytical mechanics. The book includes fundamental results in the theory of non-linear electromechanical systems and will be useful both for researchers, engineers, scholars and graduate students of electromechanical faculties of technical universities. It includes not only theoretical results but also various examples from many industrial applications. A sizeable part of the book is devoted to the general theory of synchronous machines and electro-magnetic exciters of oscillations.
Nonlinear Dynamics in Geosciences
Nonlinear Dynamics in Geosciences is comprised of the proceedings of "20 Years of Nonlinear Dynamics in Geosciences", held June 11-16, 2006 in Rhodes, Greece as part of the Aegean Conferences. The volume brings together the most up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences, and discusses the advances made in the last two decades and the future directions of nonlinear dynamics. Topics covered include predictability, ensemble prediction, nonlinear prediction, nonlinear time series analysis, low-dimensional chaos, nonlinear modeling, fractals and multifractals, bifurcation, complex networks, self-organized criticality, extreme events, and other aspects of nonlinear science.
Multiphase Flow Dynamics 3 : Turbulence, Gas Absorption and Release, Diesel Fuel Properties
Volume 3 is devoted to selected Chapters of the multiphase fluid dynamics that are important for practical applications. The state of the art of the turbulence modeling in multiphase flows is presented. As introduction, some basics of the single-phase boundary layer theory including some important scales and flow oscillation characteristics in pipes and rod bundles are presented. Then the scales characterizing the dispersed flow systems are presented. The description of the turbulence is provided at different level of complexity: simple algebraic models for eddy viscosity, algebraic models based on the Boussinesq hypothesis, modification of the boundary layer share due to modification of the bulk turbulence, modification of the boundary layer share due to nucleate boiling. Then the role of the following forces on the matematical description of turbulent flows is discussed: the lift force, the lubrication force in the wall boundary layer, and the dispersion force.
Micro-, Meso- and Macro-Dynamics of the Brain
This book brings together leading investigators who represent various aspects of brain dynamics with the goal of presenting state-of-the-art current progress and address future developments. The topics cover the most fascinating facets of neuroscience from elementary computation of neurons, mesoscopic network oscillations, internally generated assembly sequences in the service of cognition, large-scale neuronal interactions within and across systems, the impact of sleep on cognition, memory and mental illness, brain controlled robots, motor-sensory integration, spatial navigation, large-scale computation and consciousness. Overall, this volume offers an integrated view of the challenges and opportunities in deciphering brain circuits in health and disease.
Methods and Applications of Singular Perturbations : Boundary Layers and Multiple Timescale Dynamics
Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences.In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems.
Mechanics of Structural Elements : Theory and Applications
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics. The book is oriented towards experts in civil engineering, researchers, developers of software for mechanical strength, stability, and oscillation analysis; it can be used by practical engineers who employ software tools to do their job and who want to know more about the theoretical background of the strength analysis. The book will be useful to senior and postgraduate students of engineering, to professors of structural analysis at civil or mechanical engineering departments of technical universities.
Mean Oscillations and Equimeasurable Rearrangements of Functions
Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.
Introduction to Soliton Theory : Applications to Mechanics
This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics. The present monograph is not a simple translation of its predecessor appeared in Publishing House of the Romanian Academy in 2002. Improvements outline the way in which the soliton theory is applied to solve some engineering problems. The book addresses concrete resolution methods of certain problems such as the motion of thin elastic rod, vibrations of initial deformed thin elastic rod, the coupled pendulum oscillations, dynamics of left ventricle, transient flow of blood in arteries, the subharmonic waves generation in a piezoelectric plate with Cantor-like structure, and some problems related to Tzitzeica surfaces. This comprehensive study enables the readers to make connections between the soliton physical phenomenon and some partical, engineering problems.
Intraseasonal Variability in the Atmosphere-Ocean Climate System
As the first comprehensive and authoritative review of intra-seasonal variability (ISV), this multi-author work balances coverage of observation, theory and modeling and provides a single source of reference for all those interested in this important, multi-faceted natural phenomenon and its relation to major short-term climatic variations. Commencing with an overview of ISV and observations from an historical perspective, the book offers successive chapters that deal with the role of ISV in monsoon variability on the monsoon regions of South Asia, East Asia and South America, in North America, and in the oceans. The coupling between ocean and atmosphere is considered, together with the function of angular momentum and Earth rotation.
Intelligent Agents and Multi-Agent Systems ; 7th Pacific Rim International Workshop on Multi-Agents, PRIMA 2004, Auckland, New Zealand, August 8-13, 2004, Revised Selected Papers
A Combined System for Update Logic and Belief Revision.- Using Messaging Structure to Evolve Agents Roles in Electronic Markets.- Specifying DIMA Multi-agents Models Using Maude.- picoPlangent: An Intelligent Mobile Agent System for Ubiquitous Computing.- An Approach to Safe Continuous Planning.- Modeling e-Procurement as Co-adaptive Matchmaking with Mutual Relevance Feedback.- Price Determination and Profit Sharing for Bidding Groups in Agent-Mediated Auctions.- Agent Based Risk Management Methods for Speculative Actions.- Handling Emergent Resource Use Oscillations.- The Role of Agents in Intelligent Mobile Services.
Harmonic Analysis, Signal Processing, and Complexity ; Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein
This volume reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing.
Global Change and Integrated Coastal Management : The Asia-Pacific Region
Most of the world’s population lives close to the coast and is highly dependent on coastal resources, which are being exploited at unsustainable rates. These resources are being subject to further pressures associated with population increase and the globalization of coastal resource demand. This is particularly so for the Asia-Pacific region which contains almost two thirds of the world’s population and most of the world’s coastal megacities. The region has globally important atmospheric and oceanic phenomena, which affect world climate such as the Asian Monsoon and the El-Niño Southern Oscillation phenomena. The Asia-Pacific region also has highly significant marine diversity but over the last few decades, coastal resources such as mangroves, coral reefs and fisheries have experienced large-scale depletion.
Free Surface Flows under Compensated Gravity Conditions
Considers the behavior of fluids in a low-gravity environment with special emphasis on application in PMD (propellant management device) systems . This book treats three different flow problems with analytical, numerical and experimental means: the transient contour change between two static surface configurations (free surface oscillations), the capillary rise in tubes (capillary rise), and the flow through open capillary channels (choking).
Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula The method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions Throughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts, and discusses several open problems and extensions.
Device Applications of Nonlinear Dynamics
This edited book is devoted specifically to the applications of complex nonlinear dynamic phenomena to real systems and device applications. While in the past decades there has been significant progress in the theory of nonlinear phenomena under an assortment of system boundary conditions and preparations, there exist comparatively few devices that actually take this rich behavior into account. "Device Applications of Nonlinear Dynamics" applies and exploits this knowledge to make devices which operate more efficiently and cheaply, while affording the promise of much better performance. Given the current explosion of ideas in areas as diverse as molecular motors, nonlinear filtering theory, noise-enhanced propagation, stochastic resonance and networked systems, the time is right to integrate the progress of complex systems research into real devices.
Le syndrome de détresse respiratoire aiguë = Acute respiratory distress syndrome
Gives a large place to mechanical ventilation, in particular to its optimization and the interest of its various forms, such as non-invasive ventilation or high frequency oscillation. It also discusses, in a practical way, what imaging and the study of respiratory mechanics can bring to the practitioner in the field or to the intensive care unit.
Acoustics for Engineers : Troy Lectures
Provides the material for an introductory course in engineering acoustics for students with basic knowledge in mathematics. It is based on extensive teaching experience at the university level. Under the guidance of an academic teacher it is sufficient as the sole textbook for the subject.
