The non-linear-dynamics tag has no wiki summary.
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Explain the Föppl–von Kármán equations
I am a newbe to elasticity.
Could someone please explain to me briefly how the Föppl–von Kármán equations work?
What are we trying to solve for?
Is there some kind of intuition to the way they look?
...
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1answer
120 views
Change of basis in non-linear Schrodinger equation
At the mean-field level, the dynamics of a polariton condensate can be described by a type of nonlinear Schrodinger equation (Gross-Pitaevskii-type), for a classical (complex-number) wavefunction ...
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1answer
42 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 ...
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0answers
76 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 ...
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2answers
86 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 ...
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3answers
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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
24 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
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2answers
310 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?
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1answer
130 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 ...
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1answer
193 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 ...
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0answers
77 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 ...
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167 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 ...
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1answer
141 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]:
$$
\ddot R + \frac1r\dot ...
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1answer
80 views
Non-linear dynamics of classical hydrogen atom [duplicate]
Possible Duplicate:
Non-linear dynamics of classical hydrogen atom
I'd like to know if there have been attempts in solving the full problem of the dynamics of a classical hydrogen atom.
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1answer
186 views
Non-linear dynamics of classical hydrogen atom
I'd like to know if there have been attempts in solving the full problem of the dynamics of a classical hydrogen atom.
Taking into account Newton equations for the electron and the proton and Maxwell ...
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0answers
58 views
Toolbox for Complex Networks and Graphs
Is there a toolbox which helps in visual simulation and modeling of a network (say a mesh or ring) consisting of coupled synchronized system of nonlinear equations(ODE) which represent a system of ...
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2answers
241 views
What are the solution spaces of Nonlinear Schrödinger equations?
As we know, the solution space of Schrödinger equation is a Hilbert space, however, what about it of Nonlinear Schrödinger equations such as $$i\partial_t\psi=-{1\over ...
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Macroscopic chromodynamics
Lately I've been reading about gamma ray lasing phenomena, and I've been wondering about the applications of this.
More concretely, the above fantastic question led me to wonder if we could somehow ...
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1answer
139 views
Chaos is predictable?
I'm reading a book of computational physics [1] where the driven nonlinear pendulum is studied in deep. This is the equation used in the book:
$$
\frac{d^2\theta}{dt^2} = -\frac{g}{l}\sin\theta - ...
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1answer
492 views
A good, concrete example of using “chaos theory” to solve an easily understood engineering problem?
Can anyone suggest a good, concrete example of using "chaos theory" to solve an easily understood engineering problem?
I'm wondering if there is a an answer of the following sort:
"We have a high ...
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0answers
57 views
Deviation from power law distribution of earthquakes
One of the most accepted framework on the relation between magnitude and frequency of the earthquakes, is that of the critical phenomena. In this framework magnitude of events must be distributed ...
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2answers
237 views
How and why can random matrices answer physical problems?
Random matrix theory pops up regularly in the context of dynamical systems.
I was, however, so far not able to grasp the basic idea of this formalism. Could someone please provide an instructive ...
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4answers
160 views
Non linear QM and wave function collapse
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 ...
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1answer
248 views
warp drive with gravitational waves in the nonlinear regime
gravitational waves are strictly transversal (in the linear regime at least), also their amplitudes are tiny even for cosmic scale events like supernovas or binary black holes (at least far away, ...
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2answers
252 views
Current scope of Chaos theory and non-linear dynamics?
I am a physics undergrad interested in stuff like dynamical systems, chaos theory etc. Is there ongoing research in these fields? I am talking about pure research and not applications to things like ...
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2answers
167 views
Modeling stochastic process with frequency-dependent power spectrum
I'm trying to model of Johnson-Nyquist noise propagation in a nonlinear circuit. An ideal (linear) resistor can be modeled very nicely by the Fokker-Planck equation (equivalently, the drift-diffusion ...
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1answer
159 views
Examples of piecewise smooth dynamical systems [closed]
I have recently been studying continuous dynamical systems whose phase space can be divided into a number of regions. Inside each of these the flow is smooth, but there is a discrete jump in the flow ...
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1answer
189 views
Equivalent system in Centre manifold theory
I was studying the centre manifold theory. It says (see Kuznetsov page 155, theorem 5.2) that the system on the left side of the picture is topologically equivalent to the one on the right.
$
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3answers
276 views
What is a nonlinear field?
I have read two possible definitions. A nonlinear field is
A field taking values on a manifold.
A field whose equation is nonlinear.
What do you understand by a nonlinear field or a nonlinear ...
4
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1answer
119 views
Why is the critical state in the Mean Field Bak-Sneppen Model a global attractor?
Simulations of the Bak-Sneppen Model of Species Evolution (introduced in http://link.aps.org/doi/10.1103/PhysRevLett.71.4083) show that it exhibits Self-Organized Criticality where after a transient ...
