What is Nonlinear Dynamics and Chaos?

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"Nonlinear Dynamics and Chaos" by Steven Strogatz is highly recommended as an accessible introductory text for those interested in nonlinear dynamics, requiring only the mathematical knowledge from a basic differential equations course. The book is praised for its clear and comprehensive mathematical explanations, including intermediate steps and diagrams that enhance understanding. Strogatz's examples are engaging and relevant across various fields such as physics, engineering, and biology. Inquiries about the mathematical prerequisites suggest that only ordinary differential equations (ODEs) are necessary, with questions raised about the need for advanced calculus in studying nonlinear dynamics.
da615
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I recently came across Nonlinear Dynamics and Chaos by Strogatz and I'm recommending it to all my Physics/Applied Math friends. This is a great introductory book on the subject and you don't need any more Math than is taught in a basic Diff. Eq. course.

I love this book 'cause

a) Strogatz gives a simple but comprehensive Mathematical treatment of each topic and interprets the Math at each step. He actually shows you the intermediate steps with diagrams which encourages you to go on reading.

b) His examples involve applications (in Physics, Engineering, Biology, etc. etc.) that are quite often v. fascinating.
 
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Hi there,

I recently purchased this book and I am looking for a solution to promlem number 2.2.8.

Would you be able to help me out?

Kind Regards,
Paul
Dublin, Ireland


da615 said:
I recently came across Nonlinear Dynamics and Chaos by Strogatz and I'm recommending it to all my Physics/Applied Math friends. This is a great introductory book on the subject and you don't need any more Math than is taught in a basic Diff. Eq. course.

I love this book 'cause

a) Strogatz gives a simple but comprehensive Mathematical treatment of each topic and interprets the Math at each step. He actually shows you the intermediate steps with diagrams which encourages you to go on reading.

b) His examples involve applications (in Physics, Engineering, Biology, etc. etc.) that are quite often v. fascinating.
 
Been looking for a good book on the subject. Thanks
 
So you're saying all I need to read the book is an understanding of DEs? Is that ODEs or including PDEs? In general, do you need to know advanced calculus to study non-linear dynamics?
 
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I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
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