activity
20112025
most citedThe Runge-Kutta Method in Geometric Multiplicative Calculus

21 citations · 37 across the 10 of their papers we have counts for

collaborators

10 papers

nlin.AO2025

Dynamic link switching induces stable synchronized states in sparse networks

Muhittin Cenk Eser, Everton S. Medeiros, Mustafa Riza +1

The flow of information in networked systems composed of multiple interacting elements strongly depends on the level of connectivity among these elements. Sparse connectivity often…

nlin.AO2021

Interlayer Synchronisation of Time-Varying Multiplex Kuramoto--Sakaguchi Networks in the Chimera Regime

Muhittin Cenk Eser, Mustafa Riza

We study interlayer synchronisation in a duplex network of nonlocally coupled Kuramoto--Sakaguchi oscillators, with each layer operating in the chimera regime. The interlay…

nlin.AO2021

Edges of inter-layer synchronization in multilayer networks with time-switching links

Muhittin Cenk Eser, Everton S. Medeiros, Mustafa Riza +1

We investigate the transition to synchronization in a two-layer network with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the time-…

quant-ph2021★ 5 cited

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

Muhittin Cenk Eser, Mustafa Riza

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy levels of a charged isotropic harmonic oscillator in the presence of…

quant-ph2020

Energy corrections due to the Non-commutative Phase-Space of the Charged Harmonic Oscillator in a constant magnetic field in 3D

Muhittin Cenk Eser, Mustafa Riza

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy levels of a charged isotropic harmonic oscillator in the presence of…

math.DS2015★ 2 cited

A Modified Quadratic Lorenz attractor

Buğçe Eminağa, Hatice Aktöre, Mustafa Riza

This study introduces a modified quadratic Lorenz attractor. The properties of this new chaotic system are analysed and discussed in detail, by determining the equilibria points, t…

math.GM2014★ 1 cited

Bigeometric Calculus and Runge Kutta Method

Mustafa Riza, BuĞÇE EminaĞA

The properties of the Bigeometric or proportional derivative are presented and discussed explicitly. Based on this derivative, the Bigeometric Taylor theorem is worked out. As an a…

math.NA2013★ 21 cited

The Runge-Kutta Method in Geometric Multiplicative Calculus

Mustafa Riza, Hatice Aktöre

This paper illuminates the derivation, the applicability, and the efficiency of the Multiplicative Runge-Kutta Method, derived in the frame- work of geometric multiplicative calcul…

math.CV2013★ 4 cited

On Complex Multiplicative Integration

Agamirza E. Bashirov and, Mustafa Riza

In the present paper we extend the multiplicative integral to complex-valued functions of complex variable. The main difficulty in this way, that is the multi-valued nature of the…

math.CV2011★ 4 cited

Complex Multiplicative Calculus

Agamirza Bashirov, Mustafa Riza

In the present paper we extend the concepts of multiplicative de- rivative and integral to complex-valued functions of complex variable. Some drawbacks, arising with these concepts…