8 edition of **Dynamics of infinite dimensional systems** found in the catalog.

- 170 Want to read
- 10 Currently reading

Published
**1987**
by Springer-Verlag in Berlin, New York
.

Written in English

- Differential equations -- Congresses.,
- Differential equations, Partial -- Congresses.

**Edition Notes**

Statement | edited by Shui-Nee Chow, Jack K. Hale. |

Series | NATO ASI series. Series F, computer and systems sciences ;, vol. 37, NATO ASI series., no. 37. |

Contributions | Hale, Jack K., Chow, Shui-Nee. |

Classifications | |
---|---|

LC Classifications | QA372 .N38 1986 |

The Physical Object | |

Pagination | ix, 514 p. : |

Number of Pages | 514 |

ID Numbers | |

Open Library | OL2396612M |

ISBN 10 | 0387183744 |

LC Control Number | 87026383 |

Dynamics of Infinite Dimensional Systems Proceedings of the NATO Avanced Study Institute on Dynamics of Infinite Dimensional Systems, held in Lisbon, Portugal, May , 英文书摘要. : Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) () by Robinson, James C. and a great selection of similar New, Used and Collectible Books available now at great prices.4/5(4).

The dynamics of infinite-dimensional groups is very much unlike that of locally compact groups. For instance, every locally compact group acts freely on a suitable compact space (Veech). By contrast, a result by Gromov and Milman states that whenever the unitary group of a separable Hilbert space continuously acts on a compact space, it. Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are .

In this paper we are concerned with stability problems for infinite dimensional systems. First we review the theory for linear systems where the dynamics are governed by strongly continuous semigroups and then use these results to obtain globial existence and stability results for nonlinear by: dynamics of infinite-dimensional dissipative systems have been made. Moreover, the latest mathematical studies offer a more or less common line (strategy), which when followed can help to answer a number of principal questions about the properties of limit regimes arising in the system under consideration.

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This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory.

To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the.

The NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces.

Dynamics of infinite dimensional systems. Berlin ; New York: Springer-Verlag, © (OCoLC) Online version: NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems ( Lisbon, Portugal).

Dynamics of infinite dimensional systems. Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type. The NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Dynamics of infinite dimensional systems book was held at the Instituto Superior Tecnico.

Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations.

Get this from a library. Dynamics of Infinite Dimensional Systems. [Shui-Nee Chow; Jack K Hale] -- This volume presents the results of a NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems, held at the Instituto Superior Tecnico, Lisbon.

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics Book 28) - Kindle edition by James C. Robinson. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Infinite-Dimensional 5/5(3). In particular, the concluding chapters investigate in what sense the dynamics restricted to the attractor are themselves "finite-dimensional." The book is intended as a didactic text for first year graduates, and assumes only a basic knowledge of Banach and Hilbert spaces, and a working understanding of the Lebesgue by: Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are. The theory of infinite dimensional dynamical systems has also increasingly important applications in the physical, chemical and life sciences.

This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of Dynamics of Infinite Dimensional Systems Herbert Amann (auth.), Shui-Nee Chow, Jack K. Hale (eds.) The NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico.

A closed-loop Nash equilibrium is identified by formulating the original SDDE in an infinite dimensional space formed by the state and the past of the control, and by solving the corresponding.

"This monograph brings together several important and interesting models of infinite dimensional dimensional evolutionary equations, studied from the long-term dynamics and stability point of view, from abstract parabolic problems, such as 2D hydrodynamical systems and Hopf's models of turbulence, to second order evolution equations and delay : Igor Chueshov.

Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences.

This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences.

This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of Author: John Mallet-Paret.

This chapter focuses on differentiable dynamical systems. Physics gives many examples of differentiable dynamical systems in infinite-dimensional Banach spaces.

In fact, Banach spaces, also defined as finite-or infinite-dimensional, provide the natural framework for the study of differentiable maps. Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales.

The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial. Dynamics of Infinite Dimensional Systems The NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems Pages: To my knowledge this wording "infinite dimensional" is historical: let's take for our two independent variables x and t.

In the late 19th century. The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to. In summary, Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors constitutes an excellent resource for researchers and advanced graduate students in applied mathematics, dynamical systems, nonlinear dynamics, and computational mechanics.

Its acquisition by libraries is Cited by:. Infinite-Dimensional Dynamical Systems by James C. Robinson,available at Book Depository with free delivery worldwide.4/5(4).Attention then switches to the global attractor, a finite-dimensional subset of the infinite-dimensional phase space which determines the asymptotic dynamics.

In particular, the concluding chapters investigate in what sense the dynamics restricted .In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical es include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a lake.

At any given time, a dynamical system has a state given by a tuple .