Chaos and the quantum mechanical behaviour of classically chaotic systems have been
attracting increasing attention. Initially, there was perhaps more emphasis on the
theoretical side, but this is now being backed up by experimental work to an increasing
extent. The words 'Quantum Chaos' are often used these days, usually with an
undertone of unease, the reason being that, in contrast to classical chaos, quantum chaos
is ill defined; some authors say it is non-existent. So, why is it that an increasing
number of physicists are devoting their efforts to a subject so fuzzily defined?...
Surfaces of sections are a classical tool in the study of 3-dimensional dynamical systems. Their use goes back to the work of Poincar´ and Birkhoﬀ. e In the present paper we give a natural generalization of this concept by constructing a system of transversal sections in the complement of ﬁnitely many distinguished periodic solutions. Such a system is established for nondegenerate Reeb ﬂows on the tight 3-sphere by means of pseudoholomorphic curves.
A quantitative approach to studying human biomechanics, presenting principles of classical mechanics using case studies involving human movement. Vector algebra and vector differentiation are used to describe the motion of objects and 3D motion mechanics are treated in depth. Diagrams and software-created sequences are used to illustrate human movement.
We introduce cube summing, a technique that permits dynamic programming algorithms for summing over structures (like the forward and inside algorithms) to be extended with non-local features that violate the classical structural independence assumptions. It is inspired by cube pruning (Chiang, 2007; Huang and Chiang, 2007) in its computation of non-local features dynamically using scored k-best lists, but also maintains additional residual quantities used in calculating approximate marginals. ...
Lecture "Notes on classical mechanics for physics" has contents: Elementary mechanics, lagrangian and hamiltonian dynamics, oscillations, central force motion and scattering, rotating systems, special relativity, mathematical appendix, summary of physical results.
Lectures "Classical mechanics: A critical introduction" has contents: Kinematics - The mathematical description of motion, newton's first and third laws - Statics of particles, newton's second law; dynamics of particles; conservation and non conservation of mo mentum, work and energy, simple harmonic motion,... and other contents.
(BQ) Part 1 book "Ordinary differential equations and dynamical systems" has contents: Introduction, initial value problems, linear equations, differential equations in the complex domain, boundary value problems.
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This book is intended to bridge a gap between the subject of classical vehicle
dynamics and the general-purpose computer-based discipline known as
multibody systems analysis (MBS). While there are several textbooks that
focus entirely on the subject, and mathematical foundations, of vehicle
dynamics and other more recent texts dealing with MBS, there are none yet
that link the two subjects in a comprehensive manner.
Common engineering materials reach in many engineering applications such as
automotive or aerospace; their limits and new developments are required to fulfill
increasing demands on performance and characteristics. The properties of mate-
rials can be increased, for example, by combining different materials to achieve
better properties than a single constituent or by shaping the material or constituents
in a specific structure. Many of these new materials reveal a much more complex
behavior than traditional engineering materials due to their advanced structure or
This book is an introduction to game theory from a mathematical perspective.
It is intended to be a first course for undergraduate students of mathematics,
but I also hope that it will contain something of interest to advanced students
or researchers in biology and economics who often encounter the basics of game
theory informally via relevant applications. In view of the intended audience,
the examples used in this book are generally abstract problems so that the
reader is not forced to learn a great deal of a subject – either biology or economics
– that may be unfamiliar.
This book was conceived as a result of many years research with students
and postdocs in molecular simulation, and shaped over several courses on
the subject given at the University of Groningen, the Eidgen¨ossische Technische
Hochschule (ETH) in Z¨urich, the University of Cambridge, UK, the
University of Rome (La Sapienza), and the University of North Carolina
at Chapel Hill, NC, USA.
The first edition of the Shock and Vibration Handbook in 1961 brought together for
the first time a comprehensive survey of classical shock and vibration theory and
current applications of that theory to contemporary engineering practice. Edited by
Cyril M. Harris and the late Charles E. Crede, the book was translated into several
languages and became the standard reference work throughout the world.The Second
Edition appeared in 1976, the Third Edition in 1988, and the Fourth Edition in
Control engineering courses have been given in universities for over fifty years. In fact it is just
fifty years since I gave my first lectures on the subject. The basic theoretical topics taught in what
is now often referred to as classical control have changed little over these years, but the tools
which can be used to support theoretical analysis and the technologies used in control systems
implementation have changed beyond recognition.
The fundamental concepts, ideas and methods underlying all vibration phenomena are explained and illustrated in this book. The principles of classical linear vibration theory are brought together with vibration measurement, signal processing and random vibration for application to vibration problems in all areas of engineering. The book pays particular attention to the dynamics of structures, but the methods of analysis presented here apply readily to many other fields.
The result of applying a stress is a strain. There are many types of strain, developed for speciﬁc problems.
˙ deforms the sample at a constant strain rate, g , and measures the stress with a load cell resulting a stress (y-axis)–strain (x-axis) curve. Alternatively, we could apply a constant stress as fast as possible and watch the material deform under that load. This is the classical engineering creep experiment. If we also watch what happens when that stress is removed, we have the creep–recovery experiment (Figure 2.3b).
Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.
Các tác giả blog có thể thiết lập cầu hình để blog của họ sử dụng Dynamic Views và chọn một chế độ hiển thị làm mặc định. Còn người đọc, nếu muốn xem bằng một chế độ hiển thị khác với mặc định thì chỉ cần chọn trên thanh công cụ (màu đen, ở kế tiêu đề trang). Sau đây là ý nghĩa của 7 chế độ hiển thị này (theo thứ tự từ trái sang phải trên thanh công cụ): 1. Classic (kinh điển): khi được kích hoạt, chế độ này sẽ hiển thị mọi tin bài trên...
There have been major breakthroughs in lung surfactant (LS) research over the
last two decades that have changed our concept of how and why the material
works well at the lung air–water interface. From the initial ideas of a surface
active material lining the alveoli to the seminal concepts of how low surface
tension is reached, the classical ideas about Comroe’s “extraordinary juice”
requires revision and re-thinking.
Many biological C-H activation reactions exhibit nonclassical kinetic isotope eﬀects (KIEs). These nonclassical KIEs are too large (kH/kD 7) and/or exhibit unusual temperature dependence such that the Arrhenius prefactor KIEs (AH/AD) fall outside of the semiclassical range near unity. The focus of this minireview is to discuss such KIEs within the context of the environmentally coupled hydrogen tunneling model.