most citedConditions to the existence of center in planar systems and center for Abel equations

1 citations · 2 across the 5 of their papers we have counts for

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5 papers

cs.CR2026

A chaotic flux cipher based on the random cubic family

Pouya Mehdipour, Alexandre Miranda Alves, Gerardo Honorato +1

This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system i…

math.DS2026

Random Dynamics of a Family of Cubic Polynomials

Alexandre Miranda Alves, Gerardo Andrés Honorato Gutiérrez, Mostafa Salarinoghabi

In this work, we study the non-autonomous dynamics generated by random iterations of the cubic family of the form . The parameter sequence is chosen randomly from a bound…

math.CA2017

On Moment Condition and Center Condition for Abel Equation

Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves

In this paper we consider Abel equation , where and are analytical functions. We proved that if the equation has a center at , then the Moment Co…

math.CA2017★ 1 cited

Conditions to the existence of center in planar systems and center for Abel equations

Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves

Abel equations of the form , , where is a constant, and are continuous functions, are of interest because of their close re…

math.CA2017★ 1 cited

Some results on Ricatti Equations, Floquet Theory and Applications

Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves +1

In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One these results p…