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On Poisson nonlinear transformations.

Ganikhodjaev N, Hamzah NZ - ScientificWorldJournal (2014)

Bottom Line: We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior.We have proved that these nonlinear transformations are regular.

View Article: PubMed Central - PubMed

Affiliation: Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 25710 Kuantan, Malaysia.

ABSTRACT
We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. We have proved that these nonlinear transformations are regular.

No MeSH data available.


Related in: MedlinePlus

Graph of the function (21) for some fixed values λ1 and λ2.
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fig1: Graph of the function (21) for some fixed values λ1 and λ2.

Mentions: Solving the following quadratic equation(21)x=A(λ1)(x2+(1−x)2)+2A(λ2)x(1−x),we have single fixed point and denoted it as (x*, y*) (see Figure 1). Using simple calculus (see Figure 1), one can show that any trajectory of the qso (20) defined on one-dimensional simplex S1 converges to this fixed point; that is, qso (20) is regular transformation, so that it is ergodic.


On Poisson nonlinear transformations.

Ganikhodjaev N, Hamzah NZ - ScientificWorldJournal (2014)

Graph of the function (21) for some fixed values λ1 and λ2.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4127269&req=5

fig1: Graph of the function (21) for some fixed values λ1 and λ2.
Mentions: Solving the following quadratic equation(21)x=A(λ1)(x2+(1−x)2)+2A(λ2)x(1−x),we have single fixed point and denoted it as (x*, y*) (see Figure 1). Using simple calculus (see Figure 1), one can show that any trajectory of the qso (20) defined on one-dimensional simplex S1 converges to this fixed point; that is, qso (20) is regular transformation, so that it is ergodic.

Bottom Line: We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior.We have proved that these nonlinear transformations are regular.

View Article: PubMed Central - PubMed

Affiliation: Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 25710 Kuantan, Malaysia.

ABSTRACT
We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. We have proved that these nonlinear transformations are regular.

No MeSH data available.


Related in: MedlinePlus