Your English writing platform
Discover LudwigSuggestions(1)
Exact(1)
Between the two unstable regimes mentioned in the previous section, and influenced by all the factors described above that contribute to balance (trail, mass distribution, gyroscopic effects, etc)., there may be a range of forward speeds for a given bike design at which these effects steer an uncontrolled bike upright.
Similar(59)
Here, we also investigate the transition between two unstable slow manifolds of the saddle type and the changes in the spike-adding mechanism when additional equilibria of the full system are present.
Fig. 8 The slow flow on S in the vicinity of the two folds F 1 and F 2. The folds F 1 and F 2 mark the transition of the orbit segment between the two saddle-unstable sheets S 1 r and S 2 r ; the direction of flow on S is indicated by the arrows where hotter colours correspond to vectors with larger magnitudes.
This behavior indicates that attempts to ingest a particle of complex shape may lead to fluctuations of the phagocytic cup between two unstable states, either arresting at concave regions of the particle or progressing along its convex distal portion.
The shape of waves having observable wavelength is dictated by proximity to a heteroclinic connection in the travelling wave frame between two unstable uniform solutions having the same total volumetric flux.
Our analysis shows that the orbit segment during the spike-adding transition includes a fast transition between two unstable sheets of the slow manifold that are of saddle type.
Detailed analysis of the mechanics of crystal rotation shows that the orientations belonging to the sets 〈1 1 0〉//TD and 〈1 1 1〉//TD can rotate between two unstable orientations before a stable orientation is reached.
This is because, for most of its length in Fig. 5a, instead of being comprised of nodes between an unstable and a stable branch as in the 2D case, it is now mostly comprised of nodes between two unstable branches.
Depending on the initial conditions and internal detuning parameter, the response can be quasi-periodic or chaotic with irregular jumps between two unstable equilibria.
In the Cherry case, let us denote by I the interval between the two branches of unstable manifold on θ = 2 π.
However, the boundaries between the two genera remain unstable, primarily due to the scarcity of informative morphological characters, and several species originally assigned to Corticium were transferred to Plakina [88].
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