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The Moral Fabric in Contemporary Societies
These IIS annals delve into the issues of trust, economic inequalities, multiple modernities, postcommunism, corruption, and, finally, genocide and its social consequences. The book opens and closes with reflections on the theoretical aspects of what constitutes the moral fabric today.
The Europeanization of Heritage and Memories in Poland and Sweden
This book attempts to describe and understand the processes which are at work in the Polish and Swedish contexts and lead to the construction of new, Europeanized representations of the past. It asks how the ongoing process of European political integration influences local, regional, national, and transnational interpretations of the past in these two countries. It is the outcome of a multidisciplinary effort on the part of Polish and Swedish researchers working in the fields of ethnology and cultural anthropology, the sociology of culture, history, memory, and heritage studies. It describes a variety of cases and approaches while at the same time being firmly anchored in shared research qu...
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Nonlinear Dynamical Systems and Carleman Linearization
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems
This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrdinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the ?quantal? Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
Nonlinear Dynamical Systems And Carleman Linearization
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
Kazania dionizyjskie
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Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrödinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the “quantal” Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
