Takens, Floris
Overview
Works:  95 works in 289 publications in 3 languages and 3,645 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other 
Classifications:  QA3, 519.2 
Publication Timeline
.
Most widely held works by
Floris Takens
Dynamical systems and bifurcations : proceedings of a workshop held in Groningen, the Netherlands, April 1620, 1984 by
Floris Takens(
Book
)
34 editions published between 1985 and 1987 in 3 languages and held by 613 WorldCat member libraries worldwide
34 editions published between 1985 and 1987 in 3 languages and held by 613 WorldCat member libraries worldwide
Geometries and groups : proceedings of a colloquium held at the Freie Universität, Berlin May 1981 by
Jonathan A Hillman(
Book
)
30 editions published in 1981 in 3 languages and held by 408 WorldCat member libraries worldwide
30 editions published in 1981 in 3 languages and held by 408 WorldCat member libraries worldwide
Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors by
Jacob Palis Júnior(
Book
)
23 editions published between 1993 and 2005 in English and held by 395 WorldCat member libraries worldwide
23 editions published between 1993 and 2005 in English and held by 395 WorldCat member libraries worldwide
Dynamical systems and chaos by
H. W Broer(
Book
)
19 editions published between 1996 and 2011 in English and held by 216 WorldCat member libraries worldwide
Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory
19 editions published between 1996 and 2011 in English and held by 216 WorldCat member libraries worldwide
Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory
Geometry and analysis in nonlinear dynamics(
Book
)
14 editions published in 1992 in English and French and held by 208 WorldCat member libraries worldwide
14 editions published in 1992 in English and French and held by 208 WorldCat member libraries worldwide
Global analysis of dynamical systems : festschrift dedicated to Floris Takens for his 60th birthday(
Book
)
7 editions published in 2001 in English and held by 127 WorldCat member libraries worldwide
7 editions published in 2001 in English and held by 127 WorldCat member libraries worldwide
Introduction to global analysis : lectures held at Utrecht State University, OctoberDecember 1972 by
Floris Takens(
Book
)
9 editions published between 1972 and 1973 in 3 languages and held by 66 WorldCat member libraries worldwide
9 editions published between 1972 and 1973 in 3 languages and held by 66 WorldCat member libraries worldwide
Stability of queueing networks : École d'Été de Probabilités de SaintFlour XXXVI  2006 by
Maury Bramson(
)
4 editions published in 2008 in English and held by 36 WorldCat member libraries worldwide
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate. The material of this volume is based on a series of nine lectures given at the SaintFlour Probability Summer School 2006. Lectures were also given by Alice Guionnet and Steffen Lauritzen
4 editions published in 2008 in English and held by 36 WorldCat member libraries worldwide
Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate. The material of this volume is based on a series of nine lectures given at the SaintFlour Probability Summer School 2006. Lectures were also given by Alice Guionnet and Steffen Lauritzen
Dynamical Systems and Bifurcations : Proceedings of a Workshop held in Groningen The Netherlands, April 1620, 1984(
)
1 edition published in 1985 in English and held by 34 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 34 WorldCat member libraries worldwide
Applications of global analysis I; symposium, Utrecht State University, February 8, 1973 by
Floris Takens(
Book
)
6 editions published in 1974 in English and held by 33 WorldCat member libraries worldwide
6 editions published in 1974 in English and held by 33 WorldCat member libraries worldwide
Handbook of dynamical systems by
H. W Broer(
Book
)
12 editions published in 2010 in English and held by 32 WorldCat member libraries worldwide
In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the socalled KupkaSmale theorem, the Closing Lemma and generic local bifurcations of functions (socalled catastrophe theory) and generic local bifurcations in 1parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems
12 editions published in 2010 in English and held by 32 WorldCat member libraries worldwide
In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the socalled KupkaSmale theorem, the Closing Lemma and generic local bifurcations of functions (socalled catastrophe theory) and generic local bifurcations in 1parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems
Bifurcations and stability of families of diffeomorphisms by
Sheldon E Newhouse(
Book
)
6 editions published in 1983 in English and held by 29 WorldCat member libraries worldwide
6 editions published in 1983 in English and held by 29 WorldCat member libraries worldwide
Geometric Properties of Banach Spaces and Nonlinear Iterations by J. M Morel(
)
1 edition published in 2009 in English and held by 28 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 28 WorldCat member libraries worldwide
Pseudodifferential operators : quantization and signals : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy,
June 1924, 2006 by
Hans G Feichtinger(
)
2 editions published in 2008 in English and held by 7 WorldCat member libraries worldwide
Pseudodifferential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudodifferential operators, Weyl transforms, Daubechies operators, Wick quantization and timefrequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted
2 editions published in 2008 in English and held by 7 WorldCat member libraries worldwide
Pseudodifferential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudodifferential operators, Weyl transforms, Daubechies operators, Wick quantization and timefrequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted
Information geometry : near randomness and near independence by
Khadiga A Arwini(
Book
)
3 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
Annotation This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions
3 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
Annotation This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions
Compactifying moduli spaces for Abelian varieties by
Martin C Olsson(
Book
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
Annotation This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stacktheoretic techniques and a study of the theta group
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
Annotation This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stacktheoretic techniques and a study of the theta group
Local Lyapunov exponents : sublimiting growth rates of linear random differential equations by
Wolfgang Siegert(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations." "Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noiseintensitydependent time is trapped near one of its socalled metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too."Jacket
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations." "Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noiseintensitydependent time is trapped near one of its socalled metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too."Jacket
Operatorvalued measures and integrals for conevalued functions by
Walter Roth(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Integration theory deals with extended realvalued, vectorvalued, or operatorvalued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for realvalued functions and measures, whereas suprema and infima are replaced with topological limits in the vectorvalued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the abovementioned cases
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Integration theory deals with extended realvalued, vectorvalued, or operatorvalued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for realvalued functions and measures, whereas suprema and infima are replaced with topological limits in the vectorvalued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the abovementioned cases
Harmonic analysis on spaces of homogeneous type by
DongGao Deng(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose
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Related Identities
 Broer, H. W. (Hendrik Wolter) 1950 Other Author Editor
 Looijenga, E. (Eduard) 1948 Author Editor
 Siersma, D. (Dirk) Editor
 Broer, H. W. (Hendrik Wolter) 1950 Editor
 Braaksma, B. L. J. (Boele Lieuwe Jan) 1934 Author Editor
 Rijksuniversiteit te Groningen Mathematisch Instituut
 Palis Júnior, Jacob Author
 Morel, J.M Author Editor
 Teissier, B. Editor
 Hasselblatt, Boris Editor
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Associated Subjects
Abelian varieties Alexander ideals Algebraic spaces Bifurcation theory Chaotic behavior in systems Combinatorial analysis Convex domains Differentiable dynamical systems Differential equations Differential equations, Nonlinear Differential equations, Partial Dimension theory (Algebra) Distribution (Probability theory) Dynamics Functional analysis Functions of real variables Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Group theory Harmonic analysis Induction (Mathematics) Information theory Integrals, Generalized Knot theory Lévy processes Logic, Symbolic and mathematical Lyapunov exponents Mathematical analysisFoundations Mathematical physics Mathematical statistics Mathematics Moduli theory Nonlinear theories Nonlinear theoriesMathematics Number theory Numerical analysis Operator theory Probabilistic number theory Probabilities Proof theory Pseudodifferential operators Queuing networks (Data transmission) Random walks (Mathematics) Spaces of homogeneous type Stochastic differential equations Stochastic processes Turbulence Vector spaces