2018-08-15T02:18:32Z
http://ijsts.shirazu.ac.ir/?_action=export&rf=summon&issue=454
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS
L. M.
SAHA
L. M.
BHARTI
R. K.
MOHANTY
Bifurcations leading to chaos have been investigated in a number of one dimensional dynamical
systems by varying the parameters incorporated within the systems. The property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. In the process, the calculations for invariant set have also been carried out. A broad analysis of bifurcations and hyperbolicity provide some interesting results. The fractal property, self-similarity, has also been observed for chaotic regions within the bifurcation diagram. The results of numerical calculations assume significant values.
Hyperbolicity
invariant set
chaos
nonlinearity
2010
09
20
1
12
http://ijsts.shirazu.ac.ir/article_2160_1fd323f707f533a54b80992f185d7364.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
HIGH SPIN STATES IN DEEP-INELASTIC AND COMPOUND-NUCLEUS REACTIONS
S.
MOHAMMADI
Compound-nucleus reactions provide the standard mechanism to populate states with high angularmomentum in neutron deficient nuclei. Neutron-rich nuclei with mass Aand induced fission. Projectile fragmentation has proven to be an efficient method of populating nuclei farfrom the valley of stability. However, in the case of heavy nuclei this method is still limited to species withisomeric states. Deep-inelastic reactions are another reaction mechanism which can be used to study neutronrich nuclei and are able to populate relatively high-spin states. In this article we compare the advantages and disadvantages of each method.
Compound-nucleus
deep-inelastic
reaction mechanisms
neutron-rich nuclei
High Spin States
2010
09
20
13
18
http://ijsts.shirazu.ac.ir/article_2161_363bc4477a83549807c41bcd4c326936.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
CYCLIC SURFACES IN E51 GENERATED BY HOMOTHETIC MOTIONS
D.
SAGLAM
H.
KABADAYI
Y.
YAYLI
In this paper, we study cyclic surfaces in 5 1 E generated by homothetic motions of a Lorentziancircle. The properties of these cyclic surfaces up to first order are investigated. We show that, as it is shown inE5 , cyclic 2-surfaces in 5 1 E , in general, are contained in canal hypersurfaces. Finally, we give an example.
Minkowski space
cyclic surfaces
homothetic motions
2010
09
20
19
26
http://ijsts.shirazu.ac.ir/article_2162_325cbc57f0710ec846fc5077f0c262d0.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
a -MINIMAL SETS AND THEIR PROPERTIES
F.
AYATOLLAH ZADEH SHIRAZI
a minimal sets' approach introduced some closed right ideals of the Ellis semigroup of atransformation semigroup which behave like minimal right ideals of an Ellis semigroup in some senses. From1997 till now they have caused some new ideas in distality, proximal relation, transformed dimension, Herewe will compare the above mentioned ideas and will improve them.
Almost periodicity
a minimal set
transformation group
transformation semigroup
2010
09
20
27
35
http://ijsts.shirazu.ac.ir/article_2163_f2f3f8b9a678b0e236e7d10417729f44.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM
T.
YELOGLU
M.
SUBASI
In this paper, simultaneous control of source terms is considered in a vibrational string problem.In the considered problem, the terms to be controlled are the force and the initial velocity functions. We statethe generalized (weak) solution about the considered problem. The existence and uniqueness of the solutionfor optimal control problem is investigated. The Frechet derivative of the functional and the Lipschitzcontinuity of the gradient are investigated. Minimizing sequence is obtained by the method of the projectionof the gradient.
Optimal control problem
frechet derivative
projection of the gradient
2010
09
20
37
46
http://ijsts.shirazu.ac.ir/article_2164_c0cba6b418ea6583fa3438ad1a1ff449.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
A GEOMETRIC-BASED NUMERICAL SOLUTION OF EIKONAL EQUATION OVER A CLOSED LEVEL CURVE
M.
JAHANANDISH
This paper presents a new numerical method for solution of eikonal equation in two dimensions.In contrast to the previously developed methods which try to define the solution surface by its level sets(contour curves), the developed methodology identifies the solution surface by resorting to its characteristics. The suggested procedure is based on the geometric properties of the solution surface and does not require any mesh for computation. It works well in finding the ridge of the solution surface as well. In addition, the area of the surface and its corresponding volume can be easily determined via this method. Three examples have been provided to demonstrate the capability of the suggested method in presenting these important features of the solution. The issue of convergence has also been investigated. It has been concluded that the suggested method works well in solving the eikonal equation in problems for which the direction of characteristics of the solution surface, and its area or volume underneath are quite important
Eikonal equation
characteristics
non-linear partial differential equations
2010
09
20
47
58
http://ijsts.shirazu.ac.ir/article_2165_6bef0fbe2bd15f777715698640492e69.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS
M.
MOHSENI MOGHADAM1
H.
SAEEDI
In this paper, first the properties of one and two-dimensional differential transforms are presented.Next, by using the idea of differential transform, we will present a method to find an approximate solution fora Volterra integro-partial differential equations. This method can be easily applied to many linear andnonlinear problems and is capable of reducing computational works. In some particular cases, the exactsolution may be achieved. Finally, the convergence and efficiency of this method will be discussed with someexamples which indicate the ability and accuracy of the method.
Volterra
integro-partial differential equations
differential transforms
2010
09
20
59
70
http://ijsts.shirazu.ac.ir/article_2166_8243281113a57afc479e5a7c39a082e6.pdf
Iranian Journal of Science and Technology (Sciences)
Transaction A: Science
1028-6276
1028-6276
2010
34
1
ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT
A.
NEAMATY
MOSAZADEH
S.
In this paper, we investigate the canonical property of solutions of a system of differentialequations having a singularity and turning point of even order. First, by a replacement, we transform thesystem to the Sturm-Liouville equation with a turning point. Using the asymptotic estimates for a specialfundamental system of solutions of Sturm-Liouville equation, we study the infinite product representation ofsolutions of the system and investigate the uniqueness of the solution for the dual equations of the Sturm-Liouville equation. Then, we transform the Sturm-Liouville equation with a turning point to the equation witha singularity, and study the asymptotic behavior of its solutions. Such representations are relevant to theinverse spectral problem.
Turning point
singularity
sturm-liouville
infinite products
hadamard's theorem
dual equations
eigenvalues
2010
09
20
71
88
http://ijsts.shirazu.ac.ir/article_2167_bcac03c0e128f2b62460539564d36caa.pdf