The non-linear-dynamics tag has no wiki summary.
2
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1answer
36 views
Deflection of a membrane
I am currently working on a project which is described as the deflection of a circular membrane. What I am trying to model is the deflection of a piece of plastic film (E=200MPa,v=0.5) when placed ...
1
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0answers
69 views
Implicit Differentiation, A doubt
$v=v_c(\tau, t)$ is a smooth function and suppose we have a relation $y_c(\tau,v_c;t)=0$ when $x_c$ is written in the form $x_c=c+ty_c(\tau,v_c;t)$, $c$ is real constant, $t$ is real number denotes ...
4
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0answers
43 views
What is a physical example of a Saddle-Node Bifurcation?
I am doing a presentation on bifurcations and would like physical examples to go along with each type of bifurcation but I am unable to find or think of any good example of a simple Saddle Node ...
3
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3answers
124 views
Non-SHM oscillatory motion
How to solve these kind of questions , where $|F| \propto x^2$?
How to find time period and velocity type related things to the oscillatory motion?
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0answers
22 views
What is a Palais-Smale sequence?
I was studying a paper on existence of discrete breathers by F. Gazzola and he uses the properties of Palais-Smale sequences to do many things that i dont understand,
my questions are
...
7
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2answers
292 views
Does chaos theory occur in quantum mechanics? Or in any non-newtonian physics?
Does chaos theory occur in quantum mechanics? Or in any non-newtonian physics? Apart from perhaps thermodynamics?
2
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1answer
125 views
Phase volume contraction in dissipative systems
I am confused about phase-volume contraction in dissipative systems. Please help me catch the flaw in my understanding. From a macroscopic point of view I understand that a dynamic system tends to go ...
4
votes
1answer
181 views
Gross-Pitaevskii equation in Bose-Einstein condensates
I was hoping someone might be able to give a approachable explanation of the Gross-Pitaevskii equation. All the sources I've been able to find seem to concentrate on the derivation, and I don't have ...
0
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0answers
74 views
Help with Chaos theory! I need an investigation topic [closed]
I'm about to undertake a potentially torturous journey. I'm a part of the ib diploma program (a program for high school students) and as a requirement I have to write a 4000 word essay about a subject ...
2
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0answers
158 views
Nonlinear refraction index of vacuum above Schwinger limit
This question is more about trying to feel the waters in our current abilities to compute (or roughly estimate) the refraction index of vacuum, specifically when high numbers of electromagnetic quanta ...
0
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1answer
134 views
Inhomogenous schrodinger equation
Please help me out in solving this inhomogeneous Schrodinger equation in Cylindrical co-ordinates [You may suggest if I have to go for mathematics]:
$$
\ddot R + \frac1r\dot ...
0
votes
1answer
77 views
Non-linear dynamics of classical hydrogen atom [duplicate]
Possible Duplicate:
Non-linear dynamics of classical hydrogen atom
I'd like to know if there have been attempts in solving the full problem of the dynamics of a classical hydrogen atom.
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1
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1answer
183 views
Non-linear dynamics of classical hydrogen atom
I'd like to know if there have been attempts in solving the full problem of the dynamics of a classical hydrogen atom.
Taking into account Newton equations for the electron and the proton and Maxwell ...
1
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0answers
57 views
Toolbox for Complex Networks and Graphs
Is there a toolbox which helps in visual simulation and modeling of a network (say a mesh or ring) consisting of coupled synchronized system of nonlinear equations(ODE) which represent a system of ...
3
votes
2answers
232 views
What are the solution spaces of Nonlinear Schrödinger equations?
As we know, the solution space of Schrödinger equation is a Hilbert space, however, what about it of Nonlinear Schrödinger equations such as $$i\partial_t\psi=-{1\over ...
