Nonlinear Physics Books: Recent Progress & Related Fields

In summary, the conversation is about recommendations for books on the subject of nonlinear physics, specifically in the fields of fluid mechanics, elasticity, electric circuits, optics, and mechanical systems. Some recommended titles include "Nonlinear Dynamics and Chaos" by Strogatz, "Classical Dynamics, Electron Correlation and Applied Mathematics" by Kahn, "Chaos in Dynamical Systems" by Ott, and "Elasticity: Nonlinear Elastic Deformations" by Ogden. The book "Nonlinear Dynamics and Chaos" by Thompson and Steward is also mentioned as a standard reading in the field.
  • #1
Euphemia
12
0
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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  • #2
Strogatz, Nonlinear Dynamics and Chaos is a standard.

What specifically do you want to know?
 
  • #3
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
 
  • #4
Pythagorean said:
Strogatz, Nonlinear Dynamics and Chaos is a standard.

What specifically do you want to know?

Excellent book
 
  • #5
My apology!
Classical Dynamics, electron correlation and applied mathematics
 
  • #6
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
 
Last edited:
  • #7
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)
 

1. What is nonlinear physics?

Nonlinear physics is a branch of physics that deals with systems that exhibit complex, non-linear behavior, where the output is not directly proportional to the input. This field studies systems that are highly sensitive to initial conditions and may exhibit chaotic behavior.

2. How are nonlinear physics books different from traditional physics books?

Nonlinear physics books typically focus on the study of complex systems and their behavior, whereas traditional physics books focus on simpler, linear systems. Nonlinear physics books may also incorporate concepts from mathematics, computer science, and other disciplines to analyze and understand complex phenomena.

3. What are some recent progress in nonlinear physics?

Some recent progress in nonlinear physics includes the development of new mathematical and computational tools for studying complex systems, the discovery of new types of pattern formation, and the application of nonlinear physics to fields such as biology, economics, and climate science.

4. What are some related fields to nonlinear physics?

Some related fields to nonlinear physics include chaos theory, dynamical systems, complexity science, and network science. These fields all study complex systems and their behavior.

5. Can someone without a background in physics understand nonlinear physics books?

Yes, it is possible for someone without a background in physics to understand nonlinear physics books. However, a basic understanding of mathematics and physics concepts may be helpful in comprehending the material. Additionally, some books may be written for a more specialized audience and may require a deeper understanding of certain topics.

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