The Transatlantic Community and China in the Age of Disruption
The Transatlantic Community and China in the Age of Disruption

Author: Daniel S. Hamilton

Publisher: Taylor & Francis

Published: 2024-04-01

Total Pages: 219

ISBN-13: 1040006779

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This volume analyzes what China’s rise means for the transatlantic community in a new age of disruption—an age marked by great power rivalry, technological upheavals, and the diffusion of power. The book explores how today’s conditions—including heightened Western concerns about Chinese influence operations, Chinese efforts to manipulate critical economic interconnections and dependencies, rapid technological advances, the Russia–China entente, and growing linkages between North Atlantic and Indo-Pacif ic security—have forced Western actors to adopt a more differentiated approach. In this great power competition, they must decide how and where to work with China as an important partner, how to address China’s competitive challenges, and how to address China’s efforts to forge a set of norms and institutions to challenge the open, rules-based international system. The book will be of key interest to students and scholars of Transatlantic Relations, International Relations, Global Governance, European Politics, Asian Security, US and EU Foreign Policy, and Sino-Western relations. It will also be of interest to think-tank researchers and policy practitioners.

The Hopf Bifurcation and Its Applications
The Hopf Bifurcation and Its Applications

Author: J. E. Marsden

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 420

ISBN-13: 1461263743

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The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.

Population Dynamics and the Tribolium Model: Genetics and Demography
Population Dynamics and the Tribolium Model: Genetics and Demography

Author: Robert F. Costantino

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 272

ISBN-13: 1461231701

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The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.

Moral China in the Age of Reform
Moral China in the Age of Reform

Author: Jiwei Ci

Publisher: Cambridge University Press

Published: 2014-08-11

Total Pages: 241

ISBN-13: 1107038669

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This book is a study of post-Mao Chinese moral subjectivity and a philosophical inquiry into the relation between moral subjectivity and freedom.

Bifurcation Phenomena in Mathematical Physics and Related Topics
Bifurcation Phenomena in Mathematical Physics and Related Topics

Author: C. Bardos

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 591

ISBN-13: 9400990049

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One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lectures of J. Nuttall) and then to some problems in drop hot moment problems. (cf. the lecture of D. Bessis).

Hyperbolic Partial Differential Equations
Hyperbolic Partial Differential Equations

Author: Matthew Witten

Publisher: Elsevier

Published: 2014-05-17

Total Pages: 255

ISBN-13: 1483155633

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Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.