Dmitry Postnov's Books

Chaotic Synchronization: Applications To Living Systems

By: Yuri L Maistrenko,Erik Mosekilde,Dmitry Postnov

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Chaotic Synchronization: Applications To Living Systems

By: Yuri L Maistrenko,Erik Mosekilde,Dmitry Postnov

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.

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Page Count

441

Publisher

World Scientific

Published Date

ISBN 10

9814489751

ISBN 13

9789814489751

Synchronization

From Simple to Complex

By: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva

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Synchronization

From Simple to Complex

By: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva

This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

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Page Count

426

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540721282

ISBN 13

9783540721284

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

By: Valery A Rubakov,Dmitry S Gorbunov

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Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

By: Valery A Rubakov,Dmitry S Gorbunov

This book accompanies another book by the same authors, and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.

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Page Count

504

Publisher

World Scientific

Published Date

ISBN 10

9814390615

ISBN 13

9789814390613

Introduction To The Theory Of The Early Universe: Hot Big Bang Theory (Second Edition)

By: Valery A Rubakov,Dmitry S Gorbunov

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Introduction To The Theory Of The Early Universe: Hot Big Bang Theory (Second Edition)

By: Valery A Rubakov,Dmitry S Gorbunov

This book is written from the viewpoint that a deep connection exists between cosmology and particle physics. It presents the results and ideas on both the homogeneous and isotropic Universe at the hot stage of its evolution and in later stages. The main chapters describe in a systematic and pedagogical way established facts and concepts on the early and the present Universe. The comprehensive treatment, hence, serves as a modern introduction to this rapidly developing field of science. To help in reading the chapters without having to constantly consult other texts, essential materials from General Relativity and the theory of elementary particles are collected in the appendices. Various hypotheses dealing with unsolved problems of cosmology, and often alternative to each other, are discussed at a more advanced level. These concern dark matter, dark energy, matter-antimatter asymmetry, etc.Particle physics and cosmology underwent rapid development between the first and the second editions of this book. In the second edition, many chapters and sections have been revised, and numerical values of particle physics and cosmological parameters have been updated.

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Page Count

594

Publisher

World Scientific

Published Date

ISBN 10

9813220058

ISBN 13

9789813220058

Introduction to the Theory of the Early Universe

Hot Big Bang Theory

By: Dmitry S. Gorbunov,V. A. Rubakov

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Introduction to the Theory of the Early Universe

Hot Big Bang Theory

By: Dmitry S. Gorbunov,V. A. Rubakov

This book is written from the viewpoint of a deep connection between cosmology and particle physics. It presents the results and ideas on both the homogeneous and isotropic Universe at the hot stage of its evolution and in later stages. The main chapters describe in a systematic and pedagogical way established facts and concepts on the early and the present Universe. The comprehensive treatment, hence, serves as a modern introduction to this rapidly developing field of science. To help in reading the chapters without having to constantly consult other texts, essential materials from General Relativity and the theory of elementary particles are collected in the appendices. Various hypotheses dealing with unsolved problems of cosmology, and often alternative to each other, are discussed at a more advanced level. These concern dark matter, dark energy, matter-antimatter asymmetry, etc.

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Page Count

488

Publisher

World Scientific

Published Date

ISBN 10

9814343978

ISBN 13

9789814343978

Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

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Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

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Page Count

416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642126014

ISBN 13

9783642126017

Synchronization

From Simple to Complex

By: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva

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Synchronization

From Simple to Complex

By: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva

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Page Count

426

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540721282

ISBN 13

9783540721284

Chaotic Synchronization

Applications to Living Systems

By: Erik Mosekilde,Yuri Maistrenko,Dmitry Postnov

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Chaotic Synchronization

Applications to Living Systems

By: Erik Mosekilde,Yuri Maistrenko,Dmitry Postnov

A guide to the fascinating new concept of chaotic sychronization.

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Page Count

444

Publisher

World Scientific

Published Date

ISBN 10

9810247893

ISBN 13

9789810247898

Book's by Dmitry Postnov

Chaotic Synchronization: Applications To Living Systems

Chaotic Synchronization: Applications To Living Systems

Synchronization

Synchronization

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

Introduction To The Theory Of The Early Universe: Cosmological Perturbations And Inflationary Theory

Introduction To The Theory Of The Early Universe: Hot Big Bang Theory (Second Edition)

Introduction To The Theory Of The Early Universe: Hot Big Bang Theory (Second Edition)

Introduction to the Theory of the Early Universe

Introduction to the Theory of the Early Universe

Extracting Knowledge From Time Series

Extracting Knowledge From Time Series

Synchronization

Synchronization

Chaotic Synchronization

Chaotic Synchronization

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