Exact(25)
For others, though, the middle ground has become its own home, albeit an unstable one.
The mechanism has two stable equilibrium states and an unstable one.
In particular, if b 1 < 1 < b 2 holds in (1.1), then the corresponding reaction system has a stable equilibrium ( 1, 0 ) and an unstable one ( 0, 1 ).
So, we infer that there exist a stable invariant cycle and an unstable one at the same time for (ain (0.274, a_{h})) in map (2).
Specifically, there are two main types of atherosclerotic lesions: the stable plaque which simply impedes blood flows and an unstable one which is vulnerable to rupture.
Time-resolved data showed the transition occurring within a range of clearance values and allowed the distinction of three types of flow: the double-loop regime, the single-loop regime and an unstable one termed "transitional state".
Similar(35)
Therefore, there exists an unstable one-dimensional manifold.
In particular, in the limiting case where the activation functions acquire a step-like behavior, we recover the same set of (stable) attractors as those arising from the discrete model and an extra unstable one, as an analysis based on Lyapunov coefficients reveals.
It has a globally stable fixed point for e M < e M ∗ and two stable fixed points divided by an intermediate unstable one for e M > e M ∗.
They leave, the boy is alone, and the sudden silence — safety from the clamor and terror of the world outside, momentary respite from persecutors — turns out to be a doubly unstable one when Juan, dislodging a window board, climbs in.
It's voluntary, it's pathetic, and it relies on planting trees to offset aircraft emissions, which means replacing a highly stable form of carbon storage (leaving oil in the ground) with a highly unstable one vulnerable to loggers, fires and droughts.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com