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1 answer
98 views

Nonlinear physics [closed]

Hey I wanna start studying nonlinear physics, and to be honest I don't know from where to start, I need books for beginners that explains things in general about the nonlinear science branches, so ...
1 vote
0 answers
28 views

What are some good resources to learn fluid mechanics? [duplicate]

I know that there are a lot of resources out there to be explored and I have gone through several of them. What I want is some resource where fluid mechanics is treated, from a geometric viewpoint, ...
1 vote
0 answers
24 views

Resources on Phase Ordering Dynamics and Non-Linear System

I am doing a course on Non-Equilibrium Physics. Prof. was initially following Strogatz but has now started teaching Phase ordering dynamics, Cahn-Hillard equation and all? I can't seem to find a good ...
1 vote
1 answer
370 views

What's the best open source alternatives of COMSOL? [closed]

Good time of day. I need to solve system of differential non-linear equations for 3D system. It requires parallel computing on a cluster. Our lab lacks the license on Comsol. It is necessary to ...
0 votes
1 answer
54 views

References for harmonic oscillator with memory

I'm reading Neu's "Singular Perturbation in the Physical Sciences" and in problems 1.1 and 1.2 he defines systems that "have memory" as the the variant of the harmonic oscillator $$...
1 vote
0 answers
118 views

Reference request for QFT $SO(3)$ non-linear sigma model

I was wondering if anyone has a reference that could help me understand quantum field theories that have a nonlinear configuration space. For example, from classical mechanics if we have a three-...
1 vote
2 answers
89 views

Literature reference: example of stable and unstable manifolds in Henon-Heiles system

There is a quite classical description of chaotic systems based on the behaviour of stable and unstable manifolds around a stationary point of the Poincaré section. It is presented, for example, [here,...
0 votes
0 answers
48 views

Do you know about any book which discusses solitons in Benjamin-Ono Equation?

Benjamin-Ono equation is an integrable equation with soliton solutions. There are many books on solitons. The ones I know about mainly discuss solitons in Korteweg de-Vries and related equations. Do ...
0 votes
0 answers
33 views

Reference for Non-Linear Water Waves

In class, my professor just mentioned that some finite-amplitude water waves were satisfied by the KdV equation. Is there some reference which shows how to derive this from $1st$ principles, and also ...
0 votes
1 answer
324 views

Book on Non-Linear dynamics [duplicate]

I am currently planning on self studying Non-linear dynamics, with an intention of developing a decent idea about it and see how its applied. I don't want to be too rigorous in my dealing with the ...
0 votes
1 answer
81 views

Books for memory mechanism of nonlinear systems?

The description of complex-systems aka dynamical-systems says: In such systems, nonlinear interactions can lead to memory and feedback mechanisms, self-organized criticality, and chaotic behavior. ...
6 votes
1 answer
6k views

Self-study book for dynamical systems theory?

What textbook would you recommend for a bachelor in theoretical physics to study dynamical systems theory? I don't want to focus too much on chaos, just having a broad view of every interesting ...
3 votes
0 answers
108 views

Books for studying non-linear dynamics [closed]

I've recently developed interest into non-linear dynamics and chaos theory after having read a large part of the book by Steven Strogatz. Is it possible for me to delve into a research area dealing ...
-1 votes
1 answer
154 views

Studying dynamic elasticity for finite deformations

this is not a question asking for help with a problem but one asking for help where to begin serious study of elasticity, particularly that applied to dynamic systems. Most textbooks about elasticity ...
2 votes
0 answers
173 views

Good textbooks on nonlinear electrodynamics?

Looking for suggestions for a good textbook on nonlinear electrodynamics, not going into optics immediately as most textbooks tend to do but perhaps a rigorous mathematical exposition on the ...
4 votes
0 answers
120 views

Reference for the Landau-Lifshitz system

I'm interested in understanding the dynamics of the discrete Landau-Lifshitz system. It's solutions to equations like $$\frac{\partial X_n}{\partial t} = X_n\times (X_{n-1}+X_{n+1})$$ where the $X_n$ ...
1 vote
0 answers
138 views

Self-contained book about complex systems and non-linear dynamics [duplicate]

I am a student at the 2nd year of a B.Sc. in Biotechnology. I started reading some papers about complex systems and nonlinear dynamics applied to economy, biology of course, climate model etc... I ...
5 votes
1 answer
164 views

Stability theory [closed]

I'm studying stability theory recently and met a lot of phrases like linear stability and nonlinear instability. After searching on Google, I became more confused. Thus I wonder if there is any ...
5 votes
4 answers
676 views

Non-linear QM and wave function collapse [closed]

I heard that there have been some propositions about describing the collapse of the wave-function by adding non-linear terms, but I couldn't anything in any any textbooks or even articles (probably ...