eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
1
12
10.22099/ijsts.2010.2160
2160
STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS
L. M. SAHA
lmsaha.msf@gmail.com
1
L. M. BHARTI
2
R. K. MOHANTY
3
Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi-110048, India
Shyam Lal College (Evening), University of Delhi, Delhi-110032, India
Deparment of Mathematics, University of Delhi, Delhi-110007, India
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.
http://ijsts.shirazu.ac.ir/article_2160_1fd323f707f533a54b80992f185d7364.pdf
Hyperbolicity
invariant set
chaos
nonlinearity
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
13
18
10.22099/ijsts.2010.2161
2161
HIGH SPIN STATES IN DEEP-INELASTIC AND COMPOUND-NUCLEUS REACTIONS
S. MOHAMMADI
mohammadi@pnu.ac.ir
1
Physics Department, Payame Noor University, Mashad, 91735, I. R. of Iran
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.
http://ijsts.shirazu.ac.ir/article_2161_363bc4477a83549807c41bcd4c326936.pdf
Compound-nucleus
deep-inelastic
reaction mechanisms
neutron-rich nuclei
High Spin States
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
19
26
10.22099/ijsts.2010.2162
2162
CYCLIC SURFACES IN E51 GENERATED BY HOMOTHETIC MOTIONS
D. SAGLAM
dryilmaz@aku.edu.tr
1
H. KABADAYI
2
Y. YAYLI
3
Department of Mathematics, Faculty of Art and Sciences, University of Afyon Kocatepe, ANS Campus, 03200, Afyon, Turkey
Department of Mathematics, Faculty of Sciences, University of Ankara, Tandogan, 06100, Ankara, Turkey
Department of Mathematics, Faculty of Sciences, University of Ankara, Tandogan, 06100, Ankara, Turkey
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.
http://ijsts.shirazu.ac.ir/article_2162_325cbc57f0710ec846fc5077f0c262d0.pdf
Minkowski space
cyclic surfaces
homothetic motions
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
27
35
10.22099/ijsts.2010.2163
2163
a -MINIMAL SETS AND THEIR PROPERTIES
F. AYATOLLAH ZADEH SHIRAZI
1
Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, I. R. of Iran
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.
http://ijsts.shirazu.ac.ir/article_2163_f2f3f8b9a678b0e236e7d10417729f44.pdf
Almost periodicity
a minimal set
transformation group
transformation semigroup
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
37
46
10.22099/ijsts.2010.2164
2164
SIMULTANEOUS CONTROL OF THE SOURCE TERMS IN A VIBRATIONAL STRING PROBLEM
T. YELOGLU
tyeloglu@mku.edu.tr
1
M. SUBASI
2
Mustafa Kemal University, Faculty of Science and Literature, Department of Mathematics, Hatay, Turkey
Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey
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.
http://ijsts.shirazu.ac.ir/article_2164_c0cba6b418ea6583fa3438ad1a1ff449.pdf
Optimal control problem
frechet derivative
projection of the gradient
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
47
58
10.22099/ijsts.2010.2165
2165
A GEOMETRIC-BASED NUMERICAL SOLUTION OF EIKONAL EQUATION OVER A CLOSED LEVEL CURVE
M. JAHANANDISH
jahanand@shirazu.ac.ir
1
Dept. of Civil Eng., School of Eng., Shiraz University, Shiraz, I. R. of Iran
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
http://ijsts.shirazu.ac.ir/article_2165_6bef0fbe2bd15f777715698640492e69.pdf
Eikonal equation
characteristics
non-linear partial differential equations
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
59
70
10.22099/ijsts.2010.2166
2166
APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS
M. MOHSENI MOGHADAM1
mohseni@mail.uk.ac.ir
1
H. SAEEDI
2
Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111
Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111
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.
http://ijsts.shirazu.ac.ir/article_2166_8243281113a57afc479e5a7c39a082e6.pdf
Volterra
integro-partial differential equations
differential transforms
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2010-09-20
34
1
71
88
10.22099/ijsts.2010.2167
2167
ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT
A. NEAMATY
namaty@umz.ac.ir
1
MOSAZADEH S.
2
Department of Mathematics, University of Mazandaran, Babolsar, I. R. of Iran
Department of Mathematics, University of Mazandaran, Babolsar, I. R. of Iran
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.
http://ijsts.shirazu.ac.ir/article_2167_bcac03c0e128f2b62460539564d36caa.pdf
Turning point
singularity
sturm-liouville
infinite products
hadamard's theorem
dual equations
eigenvalues