An introduction to dynamical systems and chaos:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New Delhi
Springer
[2015]
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Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online Ressource (XVIII, 622 Seiten, 222 illus. in color) |
ISBN: | 9788132225560 |
DOI: | 10.1007/978-81-322-2556-0 |
Internformat
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Datensatz im Suchindex
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adam_text | AN INTRODUCTION TO DYNAMICAL SYSTEMS AND CHAOS
/ LAYEK, G.C.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CONTINUOUS DYNAMICAL SYSTEMS
LINEAR SYSTEMS
PHASE PLANE ANALYSIS
STABILITY THEORY
OSCILLATIONS
THEORY OF BIFURCATIONS
HAMILTONIAN SYSTEMS
SYMMETRY ANALYSIS
DISCRETE DYNAMICAL SYSTEMS
SOME MAPS
CONJUGACY OF MAPS
CHAOS
FRACTALS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INTRODUCTION TO DYNAMICAL SYSTEMS AND CHAOS
/ LAYEK, G.C.
: 2015
ABSTRACT / INHALTSTEXT
THE BOOK DISCUSSES CONTINUOUS AND DISCRETE SYSTEMS IN SYSTEMATIC AND
SEQUENTIAL APPROACHES FOR ALL ASPECTS OF NONLINEAR DYNAMICS. THE UNIQUE
FEATURE OF THE BOOK IS ITS MATHEMATICAL THEORIES ON FLOW BIFURCATIONS,
OSCILLATORY SOLUTIONS, SYMMETRY ANALYSIS OF NONLINEAR SYSTEMS AND CHAOS
THEORY. THE LOGICALLY STRUCTURED CONTENT AND SEQUENTIAL ORIENTATION
PROVIDE READERS WITH A GLOBAL OVERVIEW OF THE TOPIC. A SYSTEMATIC
MATHEMATICAL APPROACH HAS BEEN ADOPTED, AND A NUMBER OF EXAMPLES WORKED
OUT IN DETAIL AND EXERCISES HAVE BEEN INCLUDED. CHAPTERS 1–8 ARE
DEVOTED TO CONTINUOUS SYSTEMS, BEGINNING WITH ONE-DIMENSIONAL FLOWS.
SYMMETRY IS AN INHERENT CHARACTER OF NONLINEAR SYSTEMS, AND THE LIE
INVARIANCE PRINCIPLE AND ITS ALGORITHM FOR FINDING SYMMETRIES OF A
SYSTEM ARE DISCUSSED IN CHAP. 8. CHAPTERS 9–13 FOCUS ON DISCRETE
SYSTEMS, CHAOS AND FRACTALS. CONJUGACY RELATIONSHIP AMONG MAPS AND ITS
PROPERTIES ARE DESCRIBED WITH PROOFS. CHAOS THEORY AND ITS CONNECTION
WITH FRACTALS, HAMILTONIAN FLOWS AND SYMMETRIES OF NONLINEAR SYSTEMS ARE
AMONG THE MAIN FOCUSES OF THIS BOOK. OVER THE PAST FEW DECADES, THERE
HAS BEEN AN UNPRECEDENTED INTEREST AND ADVANCES IN NONLINEAR SYSTEMS,
CHAOS THEORY AND FRACTALS, WHICH IS REFLECTED IN UNDERGRADUATE AND
POSTGRADUATE CURRICULA AROUND THE WORLD. THE BOOK IS USEFUL FOR COURSES
IN DYNAMICAL SYSTEMS AND CHAOS, NONLINEAR DYNAMICS, ETC., FOR ADVANCED
UNDERGRADUATE AND POSTGRADUATE STUDENTS IN MATHEMATICS, PHYSICS AND
ENGINEERING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Layek, G. C. |
author_GND | (DE-588)1088578667 |
author_facet | Layek, G. C. |
author_role | aut |
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dewey-full | 515.39 515.48 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.39 515.48 |
dewey-search | 515.39 515.48 |
dewey-sort | 3515.39 |
dewey-tens | 510 - Mathematics |
discipline | Physik Mathematik |
doi_str_mv | 10.1007/978-81-322-2556-0 |
format | Electronic eBook |
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spelling | Layek, G. C. Verfasser (DE-588)1088578667 aut An introduction to dynamical systems and chaos G.C. Layek New Delhi Springer [2015] © 2015 1 Online Ressource (XVIII, 622 Seiten, 222 illus. in color) txt rdacontent c rdamedia cr rdacarrier Mathematics Dynamics Ergodic theory Dynamical Systems and Ergodic Theory Mathematik Chaostheorie (DE-588)4009754-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Chaostheorie (DE-588)4009754-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-81-322-2555-3 https://doi.org/10.1007/978-81-322-2556-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632132&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632132&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Layek, G. C. An introduction to dynamical systems and chaos Mathematics Dynamics Ergodic theory Dynamical Systems and Ergodic Theory Mathematik Chaostheorie (DE-588)4009754-7 gnd Dynamisches System (DE-588)4013396-5 gnd |
subject_GND | (DE-588)4009754-7 (DE-588)4013396-5 |
title | An introduction to dynamical systems and chaos |
title_auth | An introduction to dynamical systems and chaos |
title_exact_search | An introduction to dynamical systems and chaos |
title_full | An introduction to dynamical systems and chaos G.C. Layek |
title_fullStr | An introduction to dynamical systems and chaos G.C. Layek |
title_full_unstemmed | An introduction to dynamical systems and chaos G.C. Layek |
title_short | An introduction to dynamical systems and chaos |
title_sort | an introduction to dynamical systems and chaos |
topic | Mathematics Dynamics Ergodic theory Dynamical Systems and Ergodic Theory Mathematik Chaostheorie (DE-588)4009754-7 gnd Dynamisches System (DE-588)4013396-5 gnd |
topic_facet | Mathematics Dynamics Ergodic theory Dynamical Systems and Ergodic Theory Mathematik Chaostheorie Dynamisches System |
url | https://doi.org/10.1007/978-81-322-2556-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632132&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632132&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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