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The near-field earthquake which struck the Hanshin-Awaji area of Japan before dawn on January 17, 1995, in addition to snatching away the lives of more than 6,000 people, inflicted horrendous damage on the region's infrastructure, including the transportation, communication and lifeline supply network and, of course, on buildings, too. A year earlier, the San Fernando Valley area of California had been hit by another near-field quake, the Northridge Earthquake, which dealt a similarly destructive blow to local infrastructures. Following these two disasters, structural engineers and researchers
Building, Iron and steel. --- Building, Iron and steel--Congresses. Structural stability--Congresses. Structural frames--Congresses. Steel--Ductility--Congresses. --- Ductility. --- Steel. --- Structural frames. --- Structural stability. --- Building, Iron and steel --- Structural stability --- Structural frames --- Steel --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Ductility --- Iron --- Framed structures --- Frames (Structures) --- Frames, Structural --- Frameworks (Structures) --- Structural analysis (Engineering) --- Structural design --- Structural engineering
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This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations, Nonlinear --- Stability --- Bifurcation theory --- Mathematics. --- Difference equations. --- Functional equations. --- Dynamics. --- Ergodic theory. --- Differential equations. --- Ordinary Differential Equations. --- Difference and Functional Equations. --- Dynamical Systems and Ergodic Theory. --- 517.91 Differential equations --- Differential equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equations, Functional --- Functional analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Math --- Science --- Differential Equations. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Differential equations, Nonlinear - Congresses --- Stability - Congresses --- Bifurcation theory - Congresses
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This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
Bifurcation theory -- Congresses. --- Differential equations, Nonlinear -- Congresses. --- Stability -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Bifurcation theory. --- Difference equations. --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Mathematics. --- Functional equations. --- Dynamics. --- Ergodic theory. --- Differential equations. --- Difference and Functional Equations. --- Dynamical Systems and Ergodic Theory. --- Ordinary Differential Equations. --- 517.91 Differential equations --- Differential equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Equations, Functional --- Functional analysis --- Math --- Science --- Differential equations, Nonlinear --- Stability --- Numerical solutions --- Differentiable dynamical systems. --- Differential Equations. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Functional differential equations.
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Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: • the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; • a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; • approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and • new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
Dynamics -- Congresses. --- Nonlinear control theory. --- Nonlinear systems -- Congresses. --- Nonlinear theories. --- Random dynamical systems. --- Stability. --- Stability -- Congresses. --- Nonlinear systems --- Stability --- System theory --- Economics, Mathematical --- Engineering --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Operations Research --- Nonlinear systems. --- Systems, Nonlinear --- Engineering. --- System theory. --- Statistical physics. --- Control engineering. --- Economic theory. --- Control. --- Systems Theory, Control. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Nonlinear Dynamics. --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Systems theory. --- Control and Systems Theory. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Economic theory --- Political economy --- Social sciences --- Economic man --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Physics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- Statistical methods --- Philosophy
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This book provides an up-to-date resource of the role of hormone receptors in breast cancer written in depth for both the basic molecular academic researcher and translational scientist. Advances in basic science of molecular endocrinology have undoubtedly been translated into clinical practice, and clinicians caring for this disease need to be knowledgeable about these developments. The molecular basis of hormone action has been elucidated, and the relative significance of the different estrogen and progesterone receptor isoforms has been explored. This explosion of information has led to exciting new areas of gene specific targeting of the disease, and breast cancer prevention. Paradigm shifts in treatment options and sequencing have recently occurred in breast cancer management, necessitating close cooperation and communication between translational scientists and physicians. Hormone Receptors in Breast Cancer focuses on providing this communication. "Hormones play an essential role in both the development of breast cancer and its therapy. This text provides a comprehensive review of the key receptors and signaling pathways that effect breast cancer growth leading figures in the field provide insight into the basic biology and clinical issues relevant to this devastating disease." Steven T. Rosen, MD, Series Editor.
Breast -- Cancer -- Hormone therapy. --- Breast Neoplasms -- prevention & control. --- Breast Neoplasms -- therapy. --- Hormone receptors. --- Receptors, Cell Surface. --- Breast --- Hormone receptors --- Membrane Proteins --- Neoplasms by Site --- Breast Diseases --- Neoplasms --- Skin Diseases --- Proteins --- Skin and Connective Tissue Diseases --- Amino Acids, Peptides, and Proteins --- Diseases --- Chemicals and Drugs --- Receptors, Cell Surface --- Breast Neoplasms --- Medicine --- Health & Biological Sciences --- Oncology --- Spectrum analysis --- Chemistry --- Chemistry - General --- Analytical Chemistry --- Physical Sciences & Mathematics --- Hormone therapy --- Cancer --- Hormone therapy. --- Hormones --- Receptors, Hormone --- Receptors --- Stability --- Stabilité --- Singularités (Mathématiques) --- Medicine. --- Gynecology. --- Endocrinology. --- Hematology. --- Oncology. --- Medicine & Public Health. --- 530.1 --- 530.1 Basic principles of physics --- Basic principles of physics --- Differential geometry. Global analysis --- fysicochemie --- Organic spectroscopy --- Topology --- Physics --- Cell receptors --- Spectrum analysis. --- Catastrophes (Mathematics) --- Singularities (Mathematics) --- Congresses --- Congrès --- Oncology . --- Haematology --- Internal medicine --- Blood --- Gynaecology --- Generative organs, Female --- Tumors --- Gynecology . --- Endocrinology . --- Stability - Congresses --- Catastrophes (Mathematics) - Congresses --- Singularities (Mathematics) - Congresses --- Catastrophes (mathematics) --- Singularities (mathematics)
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