Dynamics of a family of two-dimensional difference systems (Q371501)

scientific article; zbMATH DE number 6214561

Language	Label	Description	Also known as
English	Dynamics of a family of two-dimensional difference systems	scientific article; zbMATH DE number 6214561

Statements

instance of

scholarly article

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title

Dynamics of a family of two-dimensional difference systems (English)

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Applied Mathematics and Computation

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publication date

10 October 2013

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zbMATH Keywords

difference equation

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system

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equilibrium point

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global attractivity

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2012.11.058

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cites work

Global stability of $y_{n+1}=A+\frac{y_n}{y_{n-k}}$

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On the recursive sequence $x_{n+1}=\alpha+x_{n-1}/x_n$

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The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$

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Quantitative bounds for the recursive sequence $y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}$

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On some systems of difference equations

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Global asymptotic behavior of positive solutions on the system of rational difference equations $x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}$.

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On the Recursive Sequencexn+1=

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On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}

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On asymptotic behaviour of the difference equation $x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}$

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The dynamics of the recursive sequence $x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma x_{n-2}^p}$

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On the Behavior of Solutions ofxn+1=p+(xn−1/xn)

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On a class of third-order nonlinear difference equations

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The asymptotic stability of $x_{n+1}-ax_ n+bx_{n-k}=0$

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Quantitative bounds for positive solutions of a Stević difference equation

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On some $k$-dimensional cyclic systems of difference equations

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Part-metric and its applications to cyclic discrete dynamic systems

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On the system of rational difference equations $x_n=a/y_{n-3}$, $y_n=by_{n-3}/x_{n-q}y_{n-q}$

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On the positive solutions of the system of rational difference equations $x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}$

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Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form

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On the system of two difference equations \[ x _{n+1}=\sum _{i=0} ^{k} A _{i}/y _{n-i} ^{p_{i}},\quad y _{n+1}=\sum _{i=0} ^{k} B _{i}/x _{n-i} ^{q_{i}}. \]

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On the system of two difference equations of exponential form: $x_{n+1}=a+bx_{n-1}e^{-y_n}$, $y_{n+1}=c+dy_{n-1}e^{-x_n}$.

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On a system of difference equations

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On a system of difference equations with period two coefficients

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On some solvable systems of difference equations

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On a nonlinear generalized max-type difference equation

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On a class of higher-order difference equations

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Boundedness character of a class of difference equations

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Boundedness character of two classes of third-order difference equations(1

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On the recursive sequence $x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}$

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On the difference equation $X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}$

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On the recursive sequence $x_{n+1}=A+x_{n}^{p}/x_{n-1}^{r}$

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On the recursive sequence $x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}$

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On the recursive sequence $x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}$

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On the rational difference equation $y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}$

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On the system of rational difference equations $x_{n+1}=f(x_n,y_{n-k})$, $y_{n+1}=f(y_n,x_{n-k})$

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On the system of rational difference equations $x_{n+1}=f(y_{n - q},x_{n - s})$, $y_{n+1}=g(x_{n - t},y_{n - p})$

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Global behavior of the nonlinear difference equation $x_{n+1}=f(x_{n - s},x_{n - t})$

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Identifiers

zbMATH Open document ID

1273.39015

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Mathematics Subject Classification ID

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10.1016/J.AMC.2012.11.058

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Sitelinks

Mathematics(1 entry)

mardi Publication:371501