The complex-systems tag has no wiki summary.
4
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0answers
56 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 ...
9
votes
2answers
254 views
Hamiltonian or not?
Is there a way to know if a system described by a known equation of motion admits a Hamiltonian function? Take for example
$$ \dot \vartheta_i = \omega_i + J\sum_j \sin(\vartheta_j-\vartheta_i)$$
...
4
votes
3answers
431 views
What are some of the best books on complex systems?
I'm rather interested in getting my feet wet at the interface of complex systems and emergence. Can anybody give me references to some good books on these topics? I'm looking for very introductory ...
2
votes
0answers
58 views
Book reviewing current state of research on complex networks [closed]
Can anybody recommend a book reviewing the current state of knowledge and active research on complex networks?
Not primarily a textbook but a true review of the field - ideally with references to ...
4
votes
1answer
137 views
Scale invariance in sandpile model and forest fire model
I asked a similar question but the wrong way here. Because my intention was to ask about non thermodynamic system, i will be more specific:
What is the relation between critical behaviour and the ...
3
votes
0answers
62 views
Kolgomorov entropy issues
I am long been confused by these entropy terms. Would be obliged if an explanation is provided in less technical jargon
What are the differences between Shannon's entropy, topological entropy and ...
3
votes
1answer
72 views
SOC and the butterfly effect
We knows that in a critical system and self organized criticality we have long range interaction due power law decay in correlation. Is this fact equivalent to the butterfly effect?
1
vote
1answer
108 views
Lacking of scale and distribution moments
Given a physical random variable x, $E(x)$ and $E((x-<x>)^2)$ defines mean and variance. From a statistical point of view variance represents the statistic error (isn't it?). If variance is not ...
1
vote
1answer
86 views
Rainfalls and critical phenomena
By definition, rainfalls are transitions from vapor state to liquid state of water. I can say that "by definition" rainfalls must viewed as critical phenomenon?
1
vote
1answer
150 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 ...
0
votes
3answers
497 views
The meaning of scale invariance in power law distribution
A function $f(ax)$ that satisfies
$$
f(ax)=a^\Delta f(x)\,\,\, (\Delta \in R)
$$
is said to be scale invariant. The most general function $f(x)$ that satisfies the previous condition is of the form
...
2
votes
1answer
124 views
Scale invariance and self organized criticality
On wikipedia i have found this statement:
In physics, self-organized criticality (SOC) is a property of (classes of) dynamical systems which have a critical point as an attractor. Their ...
4
votes
1answer
78 views
Can a system that holds information about it's past ever be Markovian?
To my (basic) understanding a Markov process is a process wherein the future state of a system only depends on the current state, and not on the past states of the system.
I was wondering on what ...
1
vote
1answer
209 views
How to find the value of the parameter a in this transfer function? [duplicate]
Possible Duplicate:
How to find the value of the parameter $a$ in this transfer function?
I am given a transfer function of a second-order system as:
$$G(s)=\frac{a}{s^{2}+4s+a}$$
and I ...
1
vote
5answers
165 views
Normal distribution of x, xdot
I have some real measurements from a process and I happened to look at the mutual distribution of (x(t), xdot(t)). I found that they seem to follow 2d normal distribution around (mu, 0). See image, ...
