As a result some of its stars, and those of Gaia-Enceladus were set into chaotic motion
, and eventually formed the halo of the present Milky Way.
Previous work has concentrated on developing models of the individual components and this has not been straight forward, so incorporating them into a system level model is expected be extremely challenging, because there could be sub-harmonic, instabilities or even chaotic motion
. Validation of the model will be performed against a test rig which will be developed in a parallel activity.
The first known asteroid to travel here from another solar system isn't coasting through space as much as it is tumbling across the cosmos, possibly after a violent crash many years ago set it into chaotic motion
Their topics include friction laws in modeling dynamical systems, the smooth approximation of discontinuous stick-slip solutions, impacts in the chaotic motion
of a particle on a non-flat billiard, almost periodic solutions for jumping discontinuous systems, and controlling stochastically excited systems with an approximate discontinuity.
Caption: Figure 3: Chaotic motion
of the cantilever honeycomb sandwich plate.
It can be observed that periodic motion and chaotic motion
appear in the vibration of the blade.
It is almost the case for lower interdot barrier [kappa] = 3, where irregular chaotic motion
was easily observed and shown in Figure 2.
, in which state feedback is used to convert chaotic motion
into stable motion.
The boundaries are marked by yellow in Figure 6 and they conform with the analysis above; for example, the periodic motion (purple) as [l.sub.1] = 3 and p = 0 in Figure 6(a) corresponds to the red curves in Figure 5(a) and the chaotic motion
(red) as [xi] = 1.68 and [l.sub.1] = 0 observed in Figure 6(a) matches the phase diagram shown in Figure 3(b), which means that the phenomenon of multistability indeed coexists in the proposed four-wing memristive chaotic system.
On the other hand, it seems to be that the case corresponding to oblate deformation does not lead to chaotic motion
, indeed for a very large quadrupolar deformation.
5, we can see that with the bifurcation parameter Z increasing, the motion system first is chaotic motion
. Under different gear damping ratio [zeta] = 0.001, 0.02, 0.06 and 0.1, chaotic attractor is not the same shape, as shown in Fig.
The study of chaotic motion
in nonlinear systems has been a popular area of research during the last few decades.