# Questions tagged [non-linear-systems]

The term non-linear or nonlinear has several definitions but is generally used to describe a system that cannot be approximated by a superposition principle or perturbative approach.

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### Nonlinear dynamics and chaos theory in electrical systems and circuits [closed]

Is there a possible application of the field of chaos theory and nonlinear dynamics to electrical systems such as circuits and power? If so, are they based on conventional nonlinear dynamics or are ...
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### 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 ...
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I'm reading the book Chaos by James Gleick and came upon a certain excerpt in the chapter 'Strange Attractors'. I'm having a hard time understanding it (the merging of two surfaces part, in particular)...
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### Understanding Boyle's Law and Charles's Law

Boyle's Law is defined as follows: $PV=k$ This implies that $P_{1}V_{1}=P_{2}V_{2}$ is true while temperature and mass of confined gas is constant. This would mean that $P_{2}=P_{1}V_{1}/V_{2}$ ...
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### Free energy in Allen-Cahn PDE

I am a mathematician and I am taking a mathematical physics course. In the part of reaction-diffusion equations, there is something that I do not understand. I have been defined the Allen-Cahn ...
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### Why some dynamic systems can undergo sudden changes?

Everybody has observed that the weather may change from beautiful sunshine to extremely bad weather (heavy rain, stormy winds, ...) within less than half hour. What is the fundamental reason for this? ...
320 views

### Is an 'angle of slope' really the same on Earth and Moon? [closed]

I know (and it's easy to proof the formula), that the maximum angle at which an object will stay static on a slope being at an $\alpha$ angle to the ground is $$\tan \alpha = \mu$$ where $\mu$ is the ...
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### Are all the quantum based equations linear?

I dont know much about the subject, but the wave equations (classical and modern) as well as classical equations of motion all seem to be inherently linear differential equations. Presumably this also ...
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### Third eigenvalue of Lorentz equations

I was reading and working on the Strogatz's book on nonlinear dynamics and chaos on my own. I was trying to solve problem 9.2.1. The thing is that, I do not understand how can I solve part c) of that ...
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### Nonlinear stability question

I am looking for a simple example where a system is linearly unstable, but nonlinearly unstable or stable, depending on the sign of the initial perturbation. For instance, assume the linear normal ...
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### Is the universe non-linear?

First of all, I've read this other question Is the universe linear? If so, why? and I'm aiming at a different kind of answer. Theories like General Relativity or QFT, which are believed to be quite ...
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### Highly nonlinear equations

I understand the concept of non-linear equations. I was recently having a conversation with a colleague and he used the term "highly non-linear" equation. This got me thinking, how do we classify ...
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### Can a molecular dynamics simulation enter attractors like stable limit cycle?

In my rough understanding Molecular Dynamics using Classical Newtonian mechanics is a 6N dimensional non linear system. 6N dimension because we have 3 position vectors and 3 momentum vectors for each ...