100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
Previously searched by you
Complete Student Solutions Manual for Nonlinear Dynamics and Chaos, Third Edition by Steven H Strogatz: With Applications to Physics, Biology, Chemistry and Engineering.£15.08
Add to cart
Complete Student Solutions Manual for Nonlinear Dynamics and Chaos, Third Edition by Steven H Strogatz: With Applications to Physics, Biology, Chemistry and Engineering.
27 views 0 purchase
Module
Nonlinear Dynamics and Chaos, Third Edition
Institution
Nonlinear Dynamics And Chaos, Third Edition
Book
Student Solutions Manual for Non Linear Dynamics and Chaos
Complete Student Solutions Manual for Nonlinear Dynamics and Chaos, Third Edition by Steven H Strogatz: With Applications to Physics, Biology, Chemistry and Engineering. CONTENTS 2 Flows on the Line 1 2.1 A Geometric Way of Thinking 1 2.2 Fixed Points and Stability 2 2.3 Population Growth 6 2.4 Lin...
First edition published by Westview Press 2017
Second edition published by Taylor and Francis 2018
Reasonable efforts have been made to publish reliable data and information, but the author and
publisher cannot assume responsibility for the validity of all materials or the consequences of their use.
The authors and publishers have attempted to trace the copyright holders of all material reproduced in this
publication and apologize to copyright holders if permission to publish in this form has not been obtained.
If any copyright material has not been acknowledged please write and let us know so we may rectify in any
future reprint.
Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced,
transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter
invented, including photocopying, microfilming, and recording, or in any information storage or retrieval
system, without written permission from the publishers.
For permission to photocopy or use material electronically from this work, please access
www.copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc.
(CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. For works that are not available on on
CCC please contact mpkbookspermissions@tandf.co.uk
Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used
only for identification and explanation without intent to infringe.
Every effort has been made to secure required permissions for all text, images, maps, and other art reprinted
in this volume.
ISBN 13: 978-0-367-26566-3 (pbk)
ISBN 13: 978-0-429-29397-9 (ebk)
DOI: 10.1201/9780429293979
, CONTENTS
Part I One-Dimensional Flows
2 Flows on the Line 1
2.1 A Geometric Way of Thinking 1
2.2 Fixed Points and Stability 2
2.3 Population Growth 6
2.4 Linear Stability Analysis 8
2.5 Existence and Uniqueness 10
2.6 Impossibility of Oscillations 11
2.7 Potentials 12
2.8 Solving Equations on the Computer 13
4 Flows on the Circle 61
4.1 Examples and Definitions 61
4.2 Uniform Oscillator 62
4.3 Nonuniform Oscillator 62
4.4 Overdamped Pendulum 70
4.5 Fireflies 73
4.6 Superconducting Josephson Junctions 75
Part II Two-Dimensional Flows
5 Linear Systems 81
5.1 Definitions and Examples 81
5.2 Classification of Linear Systems 86
5.3 Love Affairs 94
6 Phase Plane 96
6.1 Phase Portraits 96
6.2 Existence, Uniqueness, and Topological Consequences 102
6.3 Fixed Points and Linearization 103
6.4 Rabbits versus Sheep 111
6.5 Conservative Systems 123
6.6 Reversible Systems 137
6.7 Pendulum 152
6.8 Index Theory 154
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Topscorer. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £15.08. You're not tied to anything after your purchase.