https://www.rajpub.com/index.php/jam/issue/feed JOURNAL OF ADVANCES IN MATHEMATICS 2025-05-24T19:02:04+00:00 Editorial Office editor@rajpub.com Open Journal Systems https://www.rajpub.com/index.php/jam/article/view/9743 Controlling Chaos in the Lozi Map Using Hidden Variables: A Novel Approach for Stability Enhancement 2025-05-24T19:02:04+00:00 Wafaa Hadi Abdul Suhib I wafaahadi23@gmail.com <p><span style="font-weight: 400;">In this paper, we provide a novel 3D system that demonstrates the existence of a hidden attractor. Although equilibrium points are present in the system, this hidden attractor cannot be found by examining equilibrium points or their surroundings, in contrast to self-excited attractors. Differential equation theory explains this behavior by showing that the system has intricate dynamics that are not directly dependent on equilibrium points. We added a hidden variable to the system to make it more complex and improve its stability by adding the following equation to the original system: z</span><span style="font-weight: 400;">n+1</span><span style="font-weight: 400;">=wz</span><span style="font-weight: 400;">n</span><span style="font-weight: 400;">+r3x</span><span style="font-weight: 400;">n</span><span style="font-weight: 400;">, where the hidden variable interacts with the original system through control parameters r1, r2, and r3, increasing chaos or improving the system stability. where it appeared us more complex dynamic behaviors.</span></p> 2025-06-14T00:00:00+00:00 Copyright (c) 2025 Wafaa Hadi Abdul Suhib I https://www.rajpub.com/index.php/jam/article/view/9697 Solving cubic and quartic equations by means of Vieta's formulas 2024-12-25T11:31:54+00:00 Miloš Čojanović mcojanovic@yahoo.com <p>In this paper, we will prove that with the use of Vieta's formulas, it is possible to apply a unified method in solving equations of the third and fourth degree.</p> 2025-02-04T00:00:00+00:00 Copyright (c) 2025 Miloš Čojanović https://www.rajpub.com/index.php/jam/article/view/9714 Ordering Unicyclic Graphs with a Fixed Girth by p-Sombor Indices 2025-03-08T14:47:19+00:00 Ting Li asltsdd@sina.com Bingjun li 23818936@qq.com <p>The p-Sombor index of a graphs G is deffned as, SOp(G) = X xy∈E(G) (d p (x) + d p (y)) 1 p , where d(x) represents the degree of vertex x in graph G. Our focus centers on exploring the p-Sombor index of unicyclic graphs, speciffcally addressing graphs with a predetermined girth. We determine the ffrst four smallest p-Sombor index and identifying the corresponding graphs that achieve these extremes.</p> 2025-03-28T00:00:00+00:00 Copyright (c) 2025 Ting Li, Bingjun li