Nonlinear Physics Books: Recent Progress & Related Fields

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Recommendations for nonlinear physics books include "Nonlinear Dynamics and Chaos" by Strogatz, which is considered a standard text. Other notable titles mentioned are "Classical Dynamics" and "Chaos in Dynamical Systems" by Ott, as well as "Mathematical Methods for Engineers and Scientists" by Kahn. The discussion highlights the relevance of nonlinear theories across various fields such as fluid mechanics, elasticity, and optics. Participants emphasize the importance of understanding both linear and nonlinear approaches in physics. Overall, the thread serves as a resource for those seeking foundational and advanced literature in nonlinear physics.
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Hi, all
Would you guys recommend some books on the subject of nonlinear physics?
And how is the recent progress about it and its related fields?
Thanks!
 
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Strogatz, Nonlinear Dynamics and Chaos is a standard.

What specifically do you want to know?
 
What specifically do you want to know?

yeah, most areas of physics have linear and nonlinear theory

Non linear fluid mechanics?
Non linear elasticity?
Non linear electric circuits?
Non linear electric component theory?
Non linear optics
Non linear mechanical systems?

und so weiter
 
Pythagorean said:
Strogatz, Nonlinear Dynamics and Chaos is a standard.

What specifically do you want to know?

Excellent book
 
My apology!
Classical Dynamics, electron correlation and applied mathematics
 
OK here's some more to add to the list

Applied Maths
Non linear Ordinary Differential Equations
Jordan and Smith

Oxford Applied maths series

Mathematical Methods for Engineers and Scientists
Linear and NonLinear

Kahn

Wiley

Classical Mechanics
Chaos in Dynamical Systems
Ott

Cambridge

Chaos and Nonlinear Dynamics
Hilborn

This one also has some electronics applications.

Oxford

Elasticity
Non Linear Elastic Deformations

Ogden

Dover
 
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As an engineer I found (the first edition of) the following book quite good with many nice diagrams. It was more or less standard reading at the department I graduated from:

Nonlinear Dynamics and Chaos, Thompson & Steward, Wiley 2002 (http://books.google.dk/books?id=vQvu-5VPkmcC)
 

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