Caihong Han
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Caihong Han has a total of 10 co-authors. Here are the top co-authors by number of shared publications:
Guangwang Su
College of Mathematics and Quantitative Economy, Guangxi University of Finance and Economics, Nanning, 530003, China
4 shared publications- Guangwang Su
Guangxi University of Finance and Economics
4 shared publications Taixiang Sun
Guangxi Key Laboratory of Big Data in Finance and Economics, Nanning, 530003, China
4 shared publications- Taixiang Sun
Guangxi University of Finance and Economics
4 shared publications - Bin Qin
Guangxi University of Finance and Economics
3 shared publications - Lue Li
Guangxi Key Laboratory Cultivation Base of Cross-border E-commerce Intelligent Information Processing, Guangxi University of Finance and Economics, Nanning, P. R. China
3 shared publications
Latest Publications
- Open Access
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (10) , 23941-23952
Global behavior of a max-type system of difference equations of the second order with four variables and period-two parameters
In this paper, we study global behavior of the following max-type system of difference equations of the second order with four variables and period-two parameters $ \left\{\begin{array}{ll}x_{n} = \max\Big\{A_n , \frac{z_{n-1}}{y_{n-2}}\Big\}, \ y_{n} = \max \Big\{B_n, \frac{w_{n-1}}{x_{n-2}}\Big\}, \ z_{n} = \max\Big\{C_n , \frac{x_{n-1}}{w_{n-2}}\Big\}, \ w_{n} = \max \Big\{D_n, \frac{y_{n-1}}{z_{n-2}}\Big\}, \ \end{array}\right. \ \ n\in \{0, 1, 2, \cdots\}, $ where $ A_n, B_n, C_n, D_n\in (0, +\infty) $ are periodic sequences with period 2 and the initial values $ x_{-i}, y_{-i}, z_{-i}, w_{-i}\in (0, +\infty)\ (1\leq i\leq 2) $. We show that if $ \min\{A_0C_1, B_0D_1, A_1C_0, B_1D_0\} < 1 $, then this system has unbounded solutions. Also, if $ \min\{A_0C_1, B_0D_1, A_1C_0, B_1D_0\}\geq 1 $, then every solution of this system is eventually periodic with period $ 4 $.- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (10) , 23941-23952
Open AccessGlobal behavior of a max-type system of difference equations of the second order with four variables and period-two parameters
In this paper, we study global behavior of the following max-type system of difference equations of the second order with four variables and period-two parameters $ \left\{\begin{array}{ll}x_{n} = \max\Big\{A_n , \frac{z_{n-1}}{y_{n-2}}\Big\}, \ y_{n} = \max \Big\{B_n, \frac{w_{n-1}}{x_{n-2}}\Big\}, \ z_{n} = \max\Big\{C_n , \frac{x_{n-1}}{w_{n-2}}\Big\}, \ w_{n} = \max \Big\{D_n, \frac{y_{n-1}}{z_{n-2}}\Big\}, \ \end{array}\right. \ \ n\in \{0, 1, 2, \cdots\}, $ where $ A_n, B_n, C_n, D_n\in (0, +\infty) $ are periodic sequences with period 2 and the initial values $ x_{-i}, y_{-i}, z_{-i}, w_{-i}\in (0, +\infty)\ (1\leq i\leq 2) $. We show that if $ \min\{A_0C_1, B_0D_1, A_1C_0, B_1D_0\} < 1 $, then this system has unbounded solutions. Also, if $ \min\{A_0C_1, B_0D_1, A_1C_0, B_1D_0\}\geq 1 $, then every solution of this system is eventually periodic with period $ 4 $. - 15 September 2022
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 38 (9) , 1643-1652
The Depths and the Attracting Centres for Continuous Maps on a Dendrite Whose Rank is Finite
- 15 September 2022
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 38 (9) , 1643-1652
The Depths and the Attracting Centres for Continuous Maps on a Dendrite Whose Rank is Finite
- 1 January 2022
- Published by Mathematical Notes in Miskolc Mathematical Notes
- Vol. 23 (2) , 913-927
Eventual periodicity of a max-type system of difference equations of higher order with four variables
- 1 January 2022
- Published by Mathematical Notes in Miskolc Mathematical Notes
- Vol. 23 (2) , 913-927
Eventual periodicity of a max-type system of difference equations of higher order with four variables
- 30 March 2021
- Published by Springer Nature in Journal of Applied Mathematics and Computing
- Vol. 68 (1) , 391-402
Global behavior of a max-type system of difference equations with four variables
- 30 March 2021
- Published by Springer Nature in Journal of Applied Mathematics and Computing
- Vol. 68 (1) , 391-402
Global behavior of a max-type system of difference equations with four variables
- Open Access
- 1 January 2021
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 22 (2) , 311-319
The periodic points of ε-contractive maps in fuzzy metric spaces
In this paper, we introduce the notion of epsilon-contractive maps in fuzzy metric space (X, M, *) and study the periodicities of epsilon-contractive maps. We show that if (X, M, *) is compact and f : X -> X is epsilon-contractive, then P(f) = boolean AND(infinity)(n=1)f(n)(X) and each connected component of X contains at most one periodic point of f, where P(f) is the set of periodic points off. Furthermore, we present two examples to illustrate the applicability of the obtained results.
- 1 January 2021
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 22 (2) , 311-319
Open AccessThe periodic points of ε-contractive maps in fuzzy metric spaces
In this paper, we introduce the notion of epsilon-contractive maps in fuzzy metric space (X, M, *) and study the periodicities of epsilon-contractive maps. We show that if (X, M, *) is compact and f : X -> X is epsilon-contractive, then P(f) = boolean AND(infinity)(n=1)f(n)(X) and each connected component of X contains at most one periodic point of f, where P(f) is the set of periodic points off. Furthermore, we present two examples to illustrate the applicability of the obtained results.
- Open Access
- 1 October 2020
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 21 (2) , 285-294
The depth and the attracting centre for a continuous map on a fuzzy metric interval
Let $I$ be a fuzzy metric interval and $f$ be a continuous map from $I$ to $I$. Denote by $R(f)$, $\Omega(f)$ and $\omega (x,f)$ the set of recurrent points of $f$, the set of non-wandering points of $f$ and the set of $\omega$- limit points of $x$ under $f$, respectively. Write $\omega(f)=\cup_{x\in I}\omega(x,f)$, $\omega^{n+1}(f)=\cup_{x\in \omega^n(f)}\omega (x,f)$ and $\Omega_{n+1} (f)=\Omega (f|_{\Omega_{n} (f)})$ for any positive integer $n$. In this paper, we show that $\Omega_2(f)=\overline{R(f)}$ and the depth of $f$ is at most 2, and $\omega^3(f)=\omega^2 (f)$ and the depth of the attracting centre of $f$ is at most 2.- 1 October 2020
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 21 (2) , 285-294
Open AccessThe depth and the attracting centre for a continuous map on a fuzzy metric interval
Let $I$ be a fuzzy metric interval and $f$ be a continuous map from $I$ to $I$. Denote by $R(f)$, $\Omega(f)$ and $\omega (x,f)$ the set of recurrent points of $f$, the set of non-wandering points of $f$ and the set of $\omega$- limit points of $x$ under $f$, respectively. Write $\omega(f)=\cup_{x\in I}\omega(x,f)$, $\omega^{n+1}(f)=\cup_{x\in \omega^n(f)}\omega (x,f)$ and $\Omega_{n+1} (f)=\Omega (f|_{\Omega_{n} (f)})$ for any positive integer $n$. In this paper, we show that $\Omega_2(f)=\overline{R(f)}$ and the depth of $f$ is at most 2, and $\omega^3(f)=\omega^2 (f)$ and the depth of the attracting centre of $f$ is at most 2. - Open Access
- 13 May 2020
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2020 (1) , 1-13
On the solutions of a max-type system of difference equations of higher order
In this paper, we study the following max-type system of difference equations of higher order: $$ \textstyle\begin{cases} x_{n} = \max \{A ,\frac{y_{n-t}}{x_{n-s}} \}, \\ y_{n} = \max \{B ,\frac{x_{n-t}}{y_{n-s}} \},\end{cases}\displaystyle \quad n\in \{0,1,2,\ldots \}, $$ where $A,B\in (0, +\infty )$ , $t,s\in \{1,2,\ldots \}$ with $\gcd (s,t)=1$ , the initial values $x_{-d},y_{-d},x_{-d+1},y_{-d+1}, \ldots , x_{-1}, y_{-1}\in (0,+ \infty )$ and $d=\max \{t,s\}$ .- 13 May 2020
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2020 (1) , 1-13
Open AccessOn the solutions of a max-type system of difference equations of higher order
In this paper, we study the following max-type system of difference equations of higher order: $$ \textstyle\begin{cases} x_{n} = \max \{A ,\frac{y_{n-t}}{x_{n-s}} \}, \\ y_{n} = \max \{B ,\frac{x_{n-t}}{y_{n-s}} \},\end{cases}\displaystyle \quad n\in \{0,1,2,\ldots \}, $$ where $A,B\in (0, +\infty )$ , $t,s\in \{1,2,\ldots \}$ with $\gcd (s,t)=1$ , the initial values $x_{-d},y_{-d},x_{-d+1},y_{-d+1}, \ldots , x_{-1}, y_{-1}\in (0,+ \infty )$ and $d=\max \{t,s\}$ . - 2 January 2020
- Published by Taru Publications in Journal of Dynamical Systems & Geometric Theories
- Vol. 18 (1) , 1-14
Characteristic of pointwise-recurrent maps on a dendrite
Let f be a continuous map on a dendrite D with f (D) = D. Denote by R(f ) and AP (f ) the set of recurrent points and the set of almost periodic points of f , respectively, and denote by ω(x, f ), Λ(x, f ), Γ(x, f ) and Ω(x, f ) the set of ω-limit points, the set of α-limit points, the set of γ-limit points and the set of weak ω-limit points of x under f , respectively. In this paper, we show that the following statements are equivalent: (1) D = R(f ). (2) D = AP (f ). (3) Ω(x, f ) = ω(x, f ) for any x ∈ D. (4) Ω(x, f ) = Γ(x, f ) for any x ∈ D. (5) f is equicontinuous. (6) [c, d] ⊄ Ω(x, f ) for any c, d,x ∈ D with c ≠ (7) Ω(x, f ) is minimal for any x ∈ D. (8) Card(Λ − 1(x, f ) ∩ (D−End(D))) < ∞ for any x ∈ D, where Λ − 1(x, f ) = {y : x ∈ Λ(y, f )}, End(D) is the set of endpoints of D and Card(A) is the cardinal number of set A. (9) If x ∈ Λ(y, f ) with x, y ∈ D, then y ∈ ω(x, f ). (10) Map h : x → ω(x, f ) (x ∈ D) is continuous and for any x, y ∈ D with x ∉ ω(y, f ), ω(x, f ) ≠ ω(y, f ). Besides, we also study characteristic of pointwise-recurrent maps on a dendrite with the number of branch points being finite.
- 2 January 2020
- Published by Taru Publications in Journal of Dynamical Systems & Geometric Theories
- Vol. 18 (1) , 1-14
Characteristic of pointwise-recurrent maps on a dendrite
Let f be a continuous map on a dendrite D with f (D) = D. Denote by R(f ) and AP (f ) the set of recurrent points and the set of almost periodic points of f , respectively, and denote by ω(x, f ), Λ(x, f ), Γ(x, f ) and Ω(x, f ) the set of ω-limit points, the set of α-limit points, the set of γ-limit points and the set of weak ω-limit points of x under f , respectively. In this paper, we show that the following statements are equivalent: (1) D = R(f ). (2) D = AP (f ). (3) Ω(x, f ) = ω(x, f ) for any x ∈ D. (4) Ω(x, f ) = Γ(x, f ) for any x ∈ D. (5) f is equicontinuous. (6) [c, d] ⊄ Ω(x, f ) for any c, d,x ∈ D with c ≠ (7) Ω(x, f ) is minimal for any x ∈ D. (8) Card(Λ − 1(x, f ) ∩ (D−End(D))) < ∞ for any x ∈ D, where Λ − 1(x, f ) = {y : x ∈ Λ(y, f )}, End(D) is the set of endpoints of D and Card(A) is the cardinal number of set A. (9) If x ∈ Λ(y, f ) with x, y ∈ D, then y ∈ ω(x, f ). (10) Map h : x → ω(x, f ) (x ∈ D) is continuous and for any x, y ∈ D with x ∉ ω(y, f ), ω(x, f ) ≠ ω(y, f ). Besides, we also study characteristic of pointwise-recurrent maps on a dendrite with the number of branch points being finite.