Various types of dynamic stability were identified, such as strange attractors
(1995.2-1996.1), limit cycles (1996.2-1996.9) and also a combined stable state, which is a set of a fixed stable point, limit cycle and strange attractor
The geometrical representation a dynamic system is called attractor
. This means that each system can be represented by an attractor
through which is possible to characterize The evolution of the system across time .
Next, we refer to  for the upper semicontinuity of random attractors
, which replaces such constant influence values by decreasing values obtained from a Gaussian kernel function, but this has not improved the straight moving behavior of agents though attractors
(neither repulsors) in a noticeable manner.
In Figure 7, red, green, and black regions contain initial conditions that lead to unbounded orbits, periodic and chaotic attractors
A reasonable controller is devised to achieve the synchronization for coexistence attractors
. Equation (1) is set as master system, so slave system is given by
For instance, up to seven disconnected attractors
have been found depending solely on the system's initial state.
Therefore, integer logarithms represent the most stable eigenstates (main attractor
Sun, "Pullback attractors
for a semilinear heat equation on time-varying domains," Journal of Differential Equations, vol.
An Indian author Tilak Devasher in his recent book "Pakistan: Courting the Abyss" have gone trading the traditional byline of "chickens have come home to roost", but the truth is different, situation at strategic level has not changed; threat since the Russian invasion of Afghanistan is persistant, but yes, the threat attractor
has changed, the locus of application has shifted towards this side of the divide.
The attract method was applied to determine the attractor
modules that were identified by the clique-merging algorithm.
We present some estimates in Section 3, and then we prove that problem (1.1)-(1.4) possesses global attractors
on [L.sup.2]([OMEGA]) x [H.sup.2]([OMEGA]) in Section 4.