Global Attractivity, Oscillations and Chaos in A Class of Nonlinear, Second Order Difference Equations
-
Hassan Sedaghat
hsedagha@vcu.edu
Downloads
Abstract
The asymptotic properties of a class of nonlinear second order difference equations are studied. Sufficient conditions that imply the types of behavior mentioned in the title are discussed, in some cases within the context of the macroeconomic business cycle theory. We also discuss less commonly seen types of behavior, such as the equilibrium being simultaneously attracting and unstable, or the occurrence of oscillations away from a unique equilibrium.
Keywords
Similar Articles
- Shwet Nisha, P. K. Parida, Super-Halley method under majorant conditions in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Roberto Dieci, Gian-Italo Bishi, Laura Gardini, Routes to Complexity in a Macroeconomic Model Described by a Noninvertible Triangular Map , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Hiroko Manaka, Wataru Takahashi, Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Gian-Italo Bischi, Michael Kopel, Long Run Evolution, Path Dependence and Global Properties of Dynamic Games: A Tutorial , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Ioannis K. Argyros, Saïd Hilout, On the semilocal convergence of Newton–type methods, when the derivative is not continuously invertible , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Ioannis K. Argyros, Saïd Hilout, Convergence conditions for the secant method , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Bruno De Malafosse, Vladimir RakoÄević, Calculations in new sequence spaces and application to statistical convergence , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2005-08-01
How to Cite
[1]
H. Sedaghat, “Global Attractivity, Oscillations and Chaos in A Class of Nonlinear, Second Order Difference Equations”, CUBO, vol. 7, no. 2, pp. 89–110, Aug. 2005.
Issue
Section
Articles
