Paper's Title:

Uniqueness of Meromorphic Functions that Share Three Values

Author(s):

Abhijit Banerjee

Department of Mathematics
Kalyani Government Engineering College
West Bengal 741235
India.
abanerjee_kal@yahoo.co.in
abanerjee@mail15.com
abanerjee_kal@rediffmail.com

Abstract:

In the paper dealing with the uniqueness problem of meromorphic functions we prove five theorems one of which will improve a result given by Lahiri \cite{5} and the remaining will supplement some previous results.

Paper's Title:

Uniqueness Problems for Difference Polynomials Sharing a Non-Zero Polynomial of Certain Degree With Finite Weight

Author(s):

V. Priyanka, S. Rajeshwari and V. Husna

Department of Mathematics,
School of Engineering,
Presidency University,
Bangalore-560064,
India.
E-mail: priyapriyankaram1994@gmail.com rajeshwaripreetham@gmail.com
husnav43@gmail.com

Abstract:

In this paper, we prove a result on the value distribution of difference polynomials sharing higher order derivatives of meromorphic functions which improves some earlier results. At the same time, we also prove possible uniqueness relation of entire functions when the difference polynomial generated by them sharing a non zero polynomial of certain degree. The result obtained in the paper will improve and generalize a number of recent results in a compact and convenient way.

Paper's Title:

Lozi Maps With Max Function and its Application

Author(s):

Abdellah Menasri

Higher National School of Forests,
Khenchela,
Algeria.
E-mail: abdellah.menasri70@gmail.com

Abstract:

In this paper, we study the Lozi map by replacing the piecewise linear term in the first equation by the function max (f(x,y);g(x,y)) such that f and g are two arbitrary functions in R². This is a family model that allows us to study several new piecewise-smooth maps. We demonstrate that these models converge to a robust chaotic attractor and give some applications of these models in the real world.

Paper's Title:

A New Relaxed Complex-valued b-metric Type and Fixed Point Results

Author(s):

P. Singh, V. Singh and T. C. M. Jele

Department of Mathematics, University of KwaZulu-Natal,
Private Bag X54001, Durban,
South Africa.
E-mail: singhp@ukzn.ac.za
singhv@ukzn.ac.za
thokozani.jele@nwu.ac.za

Abstract:

In this paper, we study the existence and uniqueness of fixed point in complex valued b-metric spaces and introduce a new relaxed α, β Complex-valued b-metric type by relaxing the triangle inequality and determine whether the fixed point theorems are applicable in these spaces.

Paper's Title:

Strong and Fragile Chaos in a New Two-Dimensional Quadratic Piecewise Smooth Map and Its Applications

Author(s):

Abdellah Menasri, Abdelkadir Soudani

Higher National School of Forests, Khenchela,
System Dynamics and Control Laboratory,
Department of Mathematics and Informatics,
Oum El Bouaghi University,
Algeria.
E-mail: menasri.abdellah@ensf.dz

 
ICOSI Laboratory, Department of Mathematics and Informatics,
College of Science and Technology,
Khenchela University, Khenchela 40004,
Algeria.
E-mail: soudaniabdelkadir@yahoo.com

Abstract:

The Henon and Lozi maps are among the most widely used in physics applications due to their ability to generate two chaotic attractors for specific values of their bifurcation parameters. In this study, I propose a new 2D smooth piecewise quadratic map created by merging the two maps. We demonstrate that this map exhibits both strong and fragile chaotic behavior for varying values of the bifurcation parameters a and b. The new map reveals distinct chaotic attractors, displaying both strong and fragile chaos for certain values of these parameters. Consequently, this map produces two chaotic attractors one fragile and the other strong highlighting the rich diversity of dynamic behavior.

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