**
1.
An Averaging Result for Fuzzy Differential Equations with a Small
Parameter**
Full text (PDF)

**Amel Bourada, Rahma Guen and Mustapha Lakrib**

**
Pages: 1-**9

**
Abstract:
** For
fuzzy differential equations with a small parameter we prove an aver-aging
result on finite time intervals and under rather weak conditions.

**2. **
**Evolution of Chaotic Domain in the Discrete Lotka-Volterra Model
for Predator-Prey Interaction**

**
Full
text (PDF)**

**P. P. Saratchandran,****,****
K. C. Ajithprasad and **
** ****K.
P. Harikrishnan**

**
Pages: **
**10-32**

**
Abstract:
**
We undertake a detailed numerical analysis of the
discrete version of the Lotka-Volterra model for predator-prey
interactions. A complete picture of the long time dynamics of the system
is presented including the type of bifurcations, nature of the
underlying attractors and the general pattern for the transition to
chaos, as each of the control parameter is varied independently. We are
able to identify how the domain of chaos evolves in the parameter plane
with the help of a dimensional analysis using a recently proposed
algorithmic scheme for computing the fractal dimension of a chaotic
attractor from time series. Finally, we also report the presence of a
small region in the parameter plane with fractal structure where, the
asymptotic dynamics depends sensitively on the control parameter values.

**3. **
**True and False Chaotic Attractors in a 3-D Lorenz-type System**
**
Full text (PDF)**

**Haijun Wang and Xianyi Li**** **

**
Pages:
33-41**

**
Abstract:
** In some known literatures
those authors have analyzed the Yang system, *x'=a(y-x), y'=cx-xz,
z'=-bz+xy*, containing three independent parameters. They think that
they have found the system to have two interesting chaotic attractors (called
as Yang-Chen attractor) when *(a,b,c)=(10,8/3,16)* and *(a,b,c)=(35,3,35)*,
respectively. However, by further analysis and Matlab simulation, we
show that the two Yang--Chen chaotic attractors found are actually
pseudo ones. In fact, the two attractors are locally asymptotically
stable equilibria. Further, we present the values of parameters for this
system to really generate chaotic attractor. Accordingly, we find a new
attractor in the Yang system co-existing with one saddle and two stable
node-foci.

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