Your English writing platform
Discover LudwigExact(1)
Small changes in certain parameters of a nonlinear system can cause equilibria to appear or disappear, or to change from attracting to repelling and vice versa, leading to large and sudden changes of the behavior of the system.
Similar(59)
Changes in pore solution equilibria cause the formation of sodium bicarbonates during accelerated carbonation, compared with hydrous sodium carbonates in natural carbonation.
At temperatures above 300 mK, gradual restoration of kinetic monopole equilibria causes the non-Ohmic current to smoothly evolve into the high-field Wien effect2 for magnetic monopoles, as confirmed by comparison to a recent and rigorous theory of the Wien effect in spin ice17,18.
Both the initial oxidation of the PAni an acidic solution and the decrease of the pH of the solution in contact with oxidised PAni are accompanied by a strong increase of the capacitance, obviously caused by protonation equilibria and changes of the double layer.
That is to say, the time delay effect is very important in population dynamics, which tends to destabilize the positive equilibria and cause a loss of stability, bifurcate into various periodic solutions, even make chaotic oscillations.
But miscommunication is what causes repeated-game cooperative equilibria to unravel in the first place.
The speed and magnitude of these responses may disrupt ecological equilibria and potentially cause further biodiversity losses, but this has rarely been studied.
They are also a special case of Nash equilibria.
For higher values of g FO, an increase in g SI causes the appearance of two equilibria, s 1 and s 2, on S 1 r that form a saddle-node pair with respect to the slow flow.
Samples containing mutations were identified on the basis of altered electrophoretic patterns of homoduplexes and heteroduplexes caused by their different melting equilibria and electrophoretic mobilities [ 32].
So the market could look like this: In this case, there are two equilibria, H and L. (there's one in the middle, but it's unstable) And this introduces the possibility of self-fulfilling panic: if something spooks the market, you can get a "systemic margin call" that causes the whole financial market to go to L, and causes a big, unnecessary price decline.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com