Lyapunov Stability of Transformation Semigroups

Victor H. L. Rocha, Josiney A. Souza

$370.95 $296.98

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer International Publishing AG
11 April 2025

Cybernetics & systems theory; Groups & group theory; Topology; Applied mathematics

Series: Latin American Mathematics Series

This book presents recent research results on Lyapunov stability and attraction for semigroup actions in a pedagogical format, providing the reader with numerous modern ideas and mathematical formulations for dynamical concepts in the transformation group theory.

In recent decades, many fundamental concepts of dynamical systems have been extended to the general framework of transformation semigroups. Limit sets, attractors, isolated invariant sets, prolongational limit sets, and stable sets now have semigroup theoretical analogues. This monograph consolidates recent advancements in this field in a way that makes it accessible to graduate students. An effort was made to relate the presented results to important recurrence notions, for contextual clarity.

A rudimentary understanding of group theory and topology, including the concepts of semigroup action, orbit, fiber bundle, compactness, and connectedness, is a prerequisite for reading this text. As a valuable resource for research projects and academic dissertations on topological dynamics, geometry, and mathematical analysis, this work can potentially open new avenues for further research.

By: Victor H. L. Rocha, Josiney A. Souza
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031857607
ISBN 10: 3031857607
Series: Latin American Mathematics Series
Pages: 228
Publication Date: 11 April 2025
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Victor H. L. Rocha is a Professor at the São Paulo State University, Brazil. He completed his PhD studies at the State University of Maringá, Brazil. His research interests include geometry and topology, more specifically topological dynamics, dynamical systems, geometric control theory, and Lie theory. Josiney A. Souza is a Professor at the State University of Maringá, Brazil. He holds a PhD in Mathematics from the State University of Campinas, Brazil. Dr. Souza’s research interests lie in control system, topological dynamics, and Lie theory. He has published two books and more than fifty articles on attractors, Morse decomposition, chain transitivity, stability, controllability, recursiveness, dispersiveness, and uniformities.