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Fig. 4 Parametric sweeping of a Lyapunov exponent spectrum: orange-colored zones indicate chaotic dynamics in the model, while a regular dynamics region is painted in grey colors of varying tint corresponding to a second Lyapunov exponent of zero value, and darker shades for negative values.
The top of Figure 5 shows a magnification of the SC diagram in Figure 3(A), depicting the regular dynamics of the model, as the Lyapunov exponent stays non-positive on this pathway, corresponding to some periodic oscillatory activity in the model.
It has also been shown that using these structured logical rules leads to networks with robust and regular dynamics, a behavior that is characteristic for biological systems [ 82, 83].
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In the case of regular (chaotic) dynamics, most values of c yield (Kapprox0) ((Kapprox1)) as expected.
In Figure 5 e -5(f), we show the asymptotic growth rate K as a function of c for regular (chaotic) dynamics.
Figure 5 e -5(f) show the two mean square displacements (M_{c}) for system (4) with (beta=1.55) ((beta=1.15 )), which corresponds to regular (chaotic) dynamics.
It includes frictional effects to simulate the presence of a solvent implicitly, where regular molecular dynamics requires inclusion of explicit solvent molecules.
Some of these marks are copied by dedicated copying machinery, others seem to be reconstructed as a result of regular genome dynamics from partial markings transmitted to daughter cells (Henikoff, Furuyama, & Ahmad 2004).
In a regular molecular dynamics simulation, the system will be comprised of 268,697,600 atoms; the GFMD model reduces the number to 524,288 (two layers of atoms), as seen in Fig. 1.
Besides, the SC-technique allows for indirect evaluations of the duty-cycle [DC] of the orbit, which is a fraction of the burst period (that is, the ratio [ B u r s t d u r a t i o n ] / [ B u r s t p e r i o d ] ) of regular, periodic dynamics.
"Over time this kind of absorption of this party into regular political dynamics has made it able to mainstream itself and mainstream its own views," Berman said.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com