(Ilmumisaeg: 10-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031962813)
This textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems. It provides a comprehensive introduction to the mathematical foundations and illustrates it with a thorough analysis of classical e...Loe edasi...
(Ilmumisaeg: 26-Apr-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031832697)
The thesis illustrates, with a remarkable combination of theoretical analysis and experimental investigation, how the static Hamiltonian of an oscillator with both 3rd and 4th order non-linearity can morph into a profoundly different Hamiltonian u...Loe edasi...
Ricardo Carretero-González, Dimitrios J. Frantzeskakis, Panayotis G. Kevrekidis
(Ilmumisaeg: 07-Nov-2024, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780192843234)
The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas and mathematical, as well as computational methods, while also presenting an overvie...Loe edasi...
The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas and mathematical, as well as computational methods, while also presenting an overvie...Loe edasi...
This monograph explores the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book st...Loe edasi...
Albert Fathi, Philip J. Morrison, Tere M-Seara, Sergei Tabachnikov
Sari: Mathematical Sciences Research Institute Publications
(Ilmumisaeg: 09-May-2024, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009320719)
Arising from the MSRI program on Hamiltonian Systems during Fall 2018, this carefully edited volume contains research papers, surveys, and lecture notes spanning a broad range of topics. It will be a standard reference and introduction to the subjec...Loe edasi...
This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspectiv...Loe edasi...
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, i...Loe edasi...
(Ilmumisaeg: 12-Aug-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031330452)
This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field. It emerged from lectur...Loe edasi...
This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suita...Loe edasi...
(Ilmumisaeg: 20-Jul-2023, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009372626)
Symingtons almost toric fibrations have played a central role in symplectic geometry over the past decade, from Viannas discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamilton...Loe edasi...
The sequential quadratic Hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models. It is based on the characterisation of optimal controls in the framework of the Pontr...Loe edasi...
(Ilmumisaeg: 05-Apr-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031108846)
This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspectiv...Loe edasi...
Markov Chain Monte Carlo (MCMC) methods are considered one of the most influential algorithms for scientific practice in the 21st century. MCMC methods have facilitated the growth in the adoption of principled Bayesian Inference across numerous disci...Loe edasi...
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled...Loe edasi...
Sari: Synthesis Lectures on Mathematics & Statistics
(Ilmumisaeg: 01-Sep-2022, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031088841)
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, i...Loe edasi...
Starting with the basics of Hamiltonian dynamics, this text follows the historical development of the theory culminating in key recent results: Kolmogorovs theorem, Nekhoroshevs theorem and superexponential stability. Students will find a plain int...Loe edasi...
(Ilmumisaeg: 05-May-2022, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009151146)
Starting with the basics of Hamiltonian dynamics, this text follows the historical development of the theory culminating in key recent results: Kolmogorovs theorem, Nekhoroshevs theorem and superexponential stability. Students will find a plain int...Loe edasi...
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume –...Loe edasi...
Dynamics of Molecular Excitons provides a comprehensive, but concise description of major theories on the dynamics of molecular excitons, intended to serve as a self-contained resource on the topic. Designed to help those new to this area g...Loe edasi...
Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory und...Loe edasi...
Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. I...Loe edasi...
Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those resul...Loe edasi...
An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newtons classical physics into new formalisms, each highligh...Loe edasi...
(Ilmumisaeg: 05-Jun-2018, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780198822370)
An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newtons classical physics into new formalisms, each highligh...Loe edasi...
(Ilmumisaeg: 09-Feb-2018, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813231672)
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors. Although the pendulum is one of the simplest nonlinear oscillators, yet, until now, we are still n...Loe edasi...
This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications....Loe edasi...
Presents the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. This book begins by establishing a practical basis in Lie algebra, including discussions of structure Lie, loop, and Virasor groups,...Loe edasi...
(Ilmumisaeg: 24-May-2017, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319536903)
Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well as introducing the theory of integrals and reduction. A number of other topics are cove...Loe edasi...
A comprehensive overview of nonlinear H8 control theory for both continuous-time and discrete-time systems, Nonlinear H8-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers top...Loe edasi...
(Ilmumisaeg: 10-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031962813)
This textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems. It provides a comprehensive introduction to the mathematical foundations and illustrates it with a thorough analysis of classical e...Loe edasi...
Dive into the rigorous study of stability in nonlinear waves within Hamiltonian systems, bridging classical equilibrium analysis with modern methods for infinite-dimensional dispersive equations. Explore techniques for orbital stability and lineariz...Loe edasi...
(Ilmumisaeg: 26-Apr-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031832697)
The thesis illustrates, with a remarkable combination of theoretical analysis and experimental investigation, how the static Hamiltonian of an oscillator with both 3rd and 4th order non-linearity can morph into a profoundly different Hamiltonian u...Loe edasi...
Featuring diverse research articles, this volume uncovers modern advances in special functions by exploring differential equations, dynamic and integrable systems, billiards, and random matrix theory. In-depth studies of hypergeometric, Heun, and Pa...Loe edasi...
Ricardo Carretero-González, Dimitrios J. Frantzeskakis, Panayotis G. Kevrekidis
(Ilmumisaeg: 07-Nov-2024, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780192843234)
The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas and mathematical, as well as computational methods, while also presenting an overvie...Loe edasi...
The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas and mathematical, as well as computational methods, while also presenting an overvie...Loe edasi...
This monograph explores the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book st...Loe edasi...
In previous work with M.C. Fernandes, we found a Lie algebroid symmetry for the Einstein evolution equations. In this paper, we extend the notion of hamiltonian structure from Lie algebra actions to general Lie algebroids over presymplectic manifold...Loe edasi...
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth and establish the existence and linear stability of small amplitude, quasi-periodic in time, traveling waves, providing the first existence result...Loe edasi...
Albert Fathi, Philip J. Morrison, Tere M-Seara, Sergei Tabachnikov
Sari: Mathematical Sciences Research Institute Publications
(Ilmumisaeg: 09-May-2024, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009320719)
Arising from the MSRI program on Hamiltonian Systems during Fall 2018, this carefully edited volume contains research papers, surveys, and lecture notes spanning a broad range of topics. It will be a standard reference and introduction to the subjec...Loe edasi...
Contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18-20, 2022. The articles present some developments of the theory of diffeologies applied in a range of topics, fro...Loe edasi...
This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspectiv...Loe edasi...
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, i...Loe edasi...
(Ilmumisaeg: 12-Aug-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031330452)
This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field. It emerged from lectur...Loe edasi...
This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these systems is that their base spaces are still smooth manifolds (with boun...Loe edasi...
This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suita...Loe edasi...
(Ilmumisaeg: 20-Jul-2023, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781009372626)
Symingtons almost toric fibrations have played a central role in symplectic geometry over the past decade, from Viannas discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamilton...Loe edasi...
The sequential quadratic Hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models. It is based on the characterisation of optimal controls in the framework of the Pontr...Loe edasi...
(Ilmumisaeg: 05-Apr-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031108846)
This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspectiv...Loe edasi...
