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Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series for these multi-wing chaotic systems is much higher than that of the conventional double-wing chaotic attractors.
In [5] the authors consider the difference equation (1) with several equilibrium points under the condition of the nonexistence of minimal period-two solutions and determine the basins of attraction of different equilibrium solutions.
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The next result follows from Lemma 1 and can be used to find the part of the basin of attraction of a positive equilibrium in the case when there are several positive equilibrium points.
Using the fact that x + y1 + y2 + y3 = 1, we obtain the 3-dimensional dynamical system: (3.1) System (3.1) has several dynamic steady states (also known as equilibrium points), each with its corresponding threshold condition for stability.
Again, most of the solutions of system (1) will be asymptotic to ( ∞, 0 ) or ( 0, ∞ ), but the separatrix between the two basins of attraction may consist of several global stable manifolds of either saddle point equilibrium points or non-hyperbolic equilibrium points or minimal period-two solutions.
The difficulty in analyzing the behavior of all solutions of the System (1) lies in the fact that there are many regions of parameters where this system possesses different equilibrium points with different local character and that in several cases, the equilibrium point is non-hyperbolic.
Zhu, Zhao and Wang [26 28] studied several reaction diffusion malware propagation models and obtained some results for stability and bifurcation of positive equilibrium points.
Called Equilibrium Points in N-Person Games, it was less than a page long and contained just 317 words.
The equilibrium points are: (2.9).
With those equilibrium points, many transfer actions from one equilibrium point to another can be formed.
The fractional system has two equilibrium points, namely the uninfected equilibrium point and the infected equilibrium point.
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