eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
295
303
10.22099/ijsts.2014.2426
2426
Expression and dynamics of the solutions of some rational recursive sequences
E. M. Elsayed
emelsayed2003@yahoo.com, emmelsayed@yahoo.com
1
S. R. Mahmoud
2
A. T. Ali
3
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
In this paper we obtain the expression of the solutions of the following recursive sequences
1
, 0,1, . . .,
where the initial conditions are arbitrary real numbers. Also, we study the behavior of the solution of these
equations.
http://ijsts.shirazu.ac.ir/article_2426_0faa5736a2ef3853e174b845ee5a9074.pdf
Difference equations
recursive sequences
Stability
periodic solution
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
305
309
10.22099/ijsts.2014.2427
2427
The uniqueness theorem for differential pencils with the jump condition in the finite interval
A. Neamaty
1
Y. Khalili
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
The purpose of this paper is to investigate the inverse problem for a second order differential equation the socalled
differential pencil on the finite interval
0,1 when the solutions are not smooth. We establish properties of
the spectral characteristics, derive the Weyl function and prove the uniqueness theorem for this inverse problem.
http://ijsts.shirazu.ac.ir/article_2427_ec3b4a7d8302ba42c54f7a21b711efb2.pdf
Inverse problem
differential pencil
jump condition
Weyl function
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
311
320
10.22099/ijsts.2014.2428
2428
Primary decomposition in a soft ring and a soft module
T. Shah
1
S. Medhit
2
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
The main objective of this study is to swing Krull intersection theorem in primary decomposition of rings and
modules to the primary decomposition of soft rings and soft modules. To fulfill this aim several notions like soft
prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a
given unitary commutative ring. Consequently, the primary decomposition of soft rings and soft modules is
established. In addition, the ascending and descending chain conditions on soft ideals and soft sub modules of soft
rings and soft modules are introduced, respectively, enabling us to develop the notions of soft Noetherian rings
and soft Noetherian modules.
http://ijsts.shirazu.ac.ir/article_2428_75a7478161a003aab2326d1c209d9fcf.pdf
Primary decomposition
soft Noetherian ring (module)
soft primary module
minimal soft prime ideal
soft irreducible ideal
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
321
327
10.22099/ijsts.2014.2429
2429
Hidden state estimation in the state space model with first-order autoregressive process noise
R. Farnoosh
rfarnoosh@iust.ac.ir
1
A. Hajrajabi
2
Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
In this article, the discrete time state space model with first-order autoregressive dependent process noise is
considered and the recursive method for filtering, prediction and smoothing of the hidden state from the noisy
observation is designed. The explicit solution is obtained for the hidden state estimation problem. Finally, in a
simulation study, the performance of the designed method for discrete time state space model with dependent
process noise is verified.
http://ijsts.shirazu.ac.ir/article_2429_91e7175ced00a84a7ee6a2c09d9851c0.pdf
State space model
dependent process noise
estimation of the hidden state
estimation of the error
covariance
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
329
336
10.22099/ijsts.2014.2430
2430
Adaptive mesh generation for approximation of traffic flow equations
A. R. Soheili
1
N. Davoodi
2
The Center of Excellence on Modelling and Control Systems, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
This paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law
equation. The idea behind the new method is to use the characteristic curves and moving non-oscillatory finite
volume method. In addition, when characteristic curves intersect, the proposed scheme uses shock speed equation
in order to improve computational efficiency. We also compare the obtained results with the corresponding
solutions computed by the moving mesh method.
http://ijsts.shirazu.ac.ir/article_2430_c57bef8c6fda652d2fa925064ddc3639.pdf
Traffic flow
characteristic curves
shock speed
moving finite volume method
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
337
342
10.22099/ijsts.2014.2431
2431
On generalized AIP-rings
M. Anzani
1
H. Haj Seyyed Javadi
2
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
In this paper, we introduce the concept of the
generalized AIP-rings as a generalization of the generalized quasi-
Baer rings
and generalized p.p.-rings. We show that the class of the generalized AIP-rings is closed under direct
products and Morita invariance. We also characterize the 2-by-2 formal upper triangular matrix rings of this new
class of rings. Finally, we provide several examples to show the applicability and limitation of this class of rings.
http://ijsts.shirazu.ac.ir/article_2431_b70a4ae8b1f1ef300c2a18358868247a.pdf
Baer rings
quasi-Baer rings
p.p.-rings
annihilators
idempotent
s-unital ideal
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
343
348
10.22099/ijsts.2014.2432
2432
The axisymmetric bifurcation analysis of an elastic cylindrical shell subjected to external pressure and axial loading
M. Sanjaranipour
1
A. Irandegani
2
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
In this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic
material is considered. The shell, which is made of Three-Term strain energy function is subjected to the
combined external and axial loading pressure. In order to obtain the relevant eigenvalues, which is the main
objective of the work, the incremental equilibrium equations are solved with two numerical, i.e. Adams-Moulton
and Compound matrix methods. Finally the bifurcation behavior is investigated by plotting the radius changes
with respect to the changes of the length of the cylinder.
http://ijsts.shirazu.ac.ir/article_2432_a0e85c47b16bd83821a243d1f7592b3f.pdf
Compound matrix method
Adams-Moulton method
eigenvalues
axisymmetric bifurcation
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
349
353
10.22099/ijsts.2014.2433
2433
Statistical properties of the square map
S. M. Dehnavi
std_dehnavism@khu.ac.ir
1
A. Mahmoodi Rishakani
2
M. R. Mirzaee Shamsabad
3
E. Pasha
4
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
Faculty of Sciences, Shahid Rajaee Teacher Training University, Tehran, Islamic Republic of Iran
Faculty of Mathematics and Computer Science, Shahid Bahonar University, Kerman, Islamic Republic of Iran
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
The square map is one of the functions used in cryptography. For instance, the square map is used in Rabin encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In this paper, we study statistical properties of the output of the square map as a vectorial Boolean function. We obtain the joint probability distribution of arbitrary number of the upper and the lower bits of the output of square map along with the asymptotic probability distribution of the upper bits of its output. Based upon a measure for evaluating the imbalance of maps, we study the imbalance of limit distribution of the restriction of square map to its upper bits. Last, we introduce the square root map and examine this map as a vectorial Boolean function; we compute probability distribution of the component Boolean functions of this new map and also obtain the imbalance of the square root map.
http://ijsts.shirazu.ac.ir/article_2433_71d8f65c0c8cac7bf07a3d1a3ceab1f9.pdf
Square Map
square root map
vectorial boolean function
component boolean function
asymptotic
probability distribution
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
355
364
10.22099/ijsts.2014.2434
2434
Classification of bounded travelling wave solutions of the generalized Zakharov equation
H. R. Z. Zangeneh
1
R. Kazemi
2
M. Mosaddeghi
3
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
Department of Mathematical Sciences, University of Kashan, Ravand Road, Kashan, Iran, 87317-53153
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the Generalized Zakharov equation are classified in different parametric regions . In each of these parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave solutions as well as their numerical simulation and their corresponding phase portraits are obtained .
http://ijsts.shirazu.ac.ir/article_2434_a2c8eaa2a27dc2aca5328bf9b2b23098.pdf
Generalized Zakharov equation
travelling wave solutions
Bifurcation Theory
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
365
372
10.22099/ijsts.2014.2435
2435
The modelling and analysis of nonlinear systems using a new expert system approach
R. Tuntas
1
Department of Electronic and Communication Technologies, University of Yuzuncu Yil, Ercis, Van, 65080, Turkey
In the present study, a new modelling technique was developed for the modelling and analysis of hyperchaotic
systems using an expert system based on wavelet decompositions and the Adaptive Neuro-Fuzzy Inference
System (ANFIS). The success and superior properties of this new expert system were shown by applying the
hyperchaotic Chen system which is a hyperchaotic system. The obtained expert system consists of two layers,
including wavelet decomposition and ANFIS. Wavelet decomposition was used for extracting features in the first
layer, and ANFIS was used for system modelling in second layer. Furthermore, HSPICE simulation of the
hyperchaotic Chen system was carried out for comparison with the proposed expert system. The structure of the
ANFIS was improved and trained in the MATLAB toolbox. Numerical simulations were used in this study. Five
various data sets have been used to test the simulation speed of the proposed expert system and HSPICE. The
obtained results show that the proposed expert system simulation has much higher speed and accuracy in
comparison with HSPICE simulation. The proposed expert system can be simply used in software tools for the
design and simulation of the hyperchaotic Chen system and other hyperchaotic systems.
http://ijsts.shirazu.ac.ir/article_2435_eacbb054dd9e5d5e22db03cb0d490124.pdf
Expert system
wavelet decomposition
ANFIS
hyperchaotic Chen system
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
373
377
10.22099/ijsts.2014.2436
2436
On 1-Manifolds and 2-Manifolds
M. El-Ghoul
1
A. El-Abed
2
Permanent Address Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA
In this work, different types of chaotic 1-manifolds which lie on the chaotic spheres or on a torus are introduced.
Some types of retractions of the chaotic spheres affect on the 1-chaotic systems, and other types of retractions
occur to the geometric manifold but make the 1-chaotic manifold invariant. The existed retractions are discussed
through new proved theorems. Also we construct different types of folding of 1-chaotic manifolds which are
homeomorphic to S1and their indicatrixes.
http://ijsts.shirazu.ac.ir/article_2436_bfa2d3bb69ed98bff0b5a8af4c1a24e9.pdf
Chaotic
manifolds
folding
retraction
geodesics
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2014-10-06
38
3.1
379
388
10.22099/ijsts.2014.2437
2437
Effects of viscous dissipation on unsteady mhd free convective flow with thermophoresis past a radiate inclined permeable plate
G. Deepa
1
G. Murali
2
Department of Mathematics, C.B.I.T. University, Hyderabad, India
Department of Mathematics, G.I.T.A.M. University, Hyderabad, India
An analysis is carried out to investigate the effects of variable chemical reaction, thermophoresis, temperaturedependent viscosity and thermal radiation on an unsteady MHD free convective heat and mass transfer flow of a viscous, incompressible, electrically conducting fluid past an impulsively started infinite inclined porous plate by taking into account the viscous dissipation effects. The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations, which are solved numerically by using implicit finite difference scheme with shooting method. Numerical results for the non-dimensional velocity, temperature and concentration profiles as well as the local skin-friction coefficient, the local Nusselt number and the local Stanton number are presented for different physical parameters. The results show that variable viscosity significantly increases viscous drag and rate of heat transfer. The results also show that higher order chemical reaction induces the concentration of the particles for a destructive reaction and reduces for a generative reaction.
http://ijsts.shirazu.ac.ir/article_2437_8ffb71adf49387ebf4cd7d43d23788a1.pdf
Variable viscosity
chemical reaction
thermophoresis
MHD
Thermal radiation
finite difference
scheme
viscous dissipation