103 documents found, page 1 of 11

The stability of complex dynamics for two families of coquaternionic quadratic ...

In this work, we begin by demonstrating that attractors, both periodic and aperiodic, of the one-parameter family of complex quadratic maps x2+ c, where c is a complex number, maintain their stability when we transition from the complex plane C to the coquaternions Hcoq as the map’s phase space. Next, we investigate the same question for a different family of quadratic maps, x2+ bx, and find that this is not th...

Dynamics of the coquaternionic maps x^2 + bx

This paper deals with the dynamics of the one-parameter family of coquaternionic quadratic maps x2+ bx. By making use of recent results for the zeros of one-sided coquaternionic polynomials, the fixed points are analytically determined. The stability of these fixed points is also addressed, where, in some cases, due to the appearance of sets of non-isolated points, a suitably adapted notion of stability is used...

A Two-step Quaternionic Root-finding Method

In this paper we present a new method for determining simultaneously all the simple roots of a quaternionic polynomial. The proposed algorithm is a two-step iterative Weierstrass-like method and has cubic order of convergence. We also illustrate a variation of the method which combines the new scheme with a recently proposed deflation procedure for the case of polynomials with spherical roots.

Exploring the potential of Eu3+ and Mn4+ activated LaAlO3 phosphors as red and ...

The development of efficient red and far-red emitters, for efficient plant absorption in the Photosynthetically Active Radiation (PAR) region, holds significance in contemporary plant growth control. This study focuses on the synthesis and characterization of LaAlO3 as a host material, doped with Eu3+ and Mn4+ ions, using a solid-state reaction method. The investigation encompasses the creation and analysis of ...

Remarks on the zeros of quadratic coquaternionic polynomials

In this paper we focus on the study of monic quadratic polynomials whose coefficients are coquaternions and present several new results concerning the number and nature of its zeros. Examples specially constructed to illustrate the diversity of cases that can occur are also presented.

A modified quaternionic Weierstrass method

In this paper we focus on the study of monic polynomials whose coefficients are quaternions located on the left-hand side of the powers, by addressing three fundamental polynomial problems: factor, evaluate and deflate. An algorithm combining a deflaction procedure with a Weierstrass-like quaternionic method is presented. Several examples illustrate the proposed approach.

Fixed points for cubic coquaternionic maps

This paper deals with the dynamics of a special two-parameter family of coquaternionic cubic maps. By making use of recent results for the zeros of one-sided coquaternionic polynomials, we analytically determine the fixed points of these maps. Some numerical examples illustrating the theory are also presented. The results obtained show an unexpected richness for the dynamics of cubic coquaternionic maps when co...

BiLaWO6: Er3+/Tm3+/Yb3+ phosphor: study of multiple fluorescence intensity rati...

Generalized problematic internet use and perfectionism in Portuguese university...

Introduction: Although there are several empirical studies exploring the relationship between problematic Internet use and personality traits, few had considered perfectionism. Objectives: To explore the association between generalized problematic Internet use and perfectionism. Methods: A sample of 433 Portuguese university students (Mage = 20.15 years, SD = 1.77, range = 18-25 years) completed the Generalized...

Generalized problematic internet use: an impulsive-compulsive spectrum disorder?

Introduction: Generalized problematic internet use/GPIU has recently been associated with the impulsive-compulsive spectrum/ICS, but its mapping onto these behaviour dimensions is relatively unexplored. Objectives: To compare patterns of internet use and scores of BIG-5 personality traits, perfectionism and psychological distress between groups with low/high levels of GPIU. Methods: 475 university students (78....