https://www.rajpub.com/index.php/jam/issue/feedJOURNAL OF ADVANCES IN MATHEMATICS2025-05-24T19:02:04+00:00Editorial Officeeditor@rajpub.comOpen Journal Systemshttps://www.rajpub.com/index.php/jam/article/view/9743Controlling Chaos in the Lozi Map Using Hidden Variables: A Novel Approach for Stability Enhancement2025-05-24T19:02:04+00:00Wafaa Hadi Abdul Suhib Iwafaahadi23@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+00:00Copyright (c) 2025 Wafaa Hadi Abdul Suhib Ihttps://www.rajpub.com/index.php/jam/article/view/9697Solving cubic and quartic equations by means of Vieta's formulas2024-12-25T11:31:54+00:00Miloš Čojanovićmcojanovic@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+00:00Copyright (c) 2025 Miloš Čojanovićhttps://www.rajpub.com/index.php/jam/article/view/9714Ordering Unicyclic Graphs with a Fixed Girth by p-Sombor Indices2025-03-08T14:47:19+00:00Ting Liasltsdd@sina.comBingjun li23818936@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+00:00Copyright (c) 2025 Ting Li, Bingjun li