Chaotic Motions in Nonlinear Dynamical Systems
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"Chaotic Motions in Nonlinear Dynamical Systems" by Wanda Szemplinska-Stupnicka, Gerard Iooss, Francis C. Moon is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts.
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"Chaotic Motions in Nonlinear Dynamical Systems" by Wanda Szemplinska-Stupnicka, Gerard Iooss, Francis C. Moon is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: Wanda Szemplinska-Stupnicka, Gerard Iooss, Francis C. Moon
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts.
| Author | Wanda Szemplinska-Stupnicka, Gerard Iooss, Francis C. Moon |
| Publisher | CISM International Centre for Mechanical Sciences |
| Published | 1988-06-07 |
| ISBN-13 | 9783211820629 |
| Binding | Paperback |
| Pages | 214 |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
| Series | CISM International Centre for Mechanical Sciences |
Format: Paperback
Length: 214 pages
Language: English
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