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
- 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
- George A. Anastassiou, Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- E. A. Grove, E. Lapierre, W. Tikjha, On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤| , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Donal O‘Regan, Fixed point theory for compact absorbing contractions in extension type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Gurucharan Singh Saluja, Hemant Kumar Nashine, Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- A.P. Farajzadeh, A. Amini-Harandi, D. O‘Regan, R.P. Agarwal, Strong vector equilibrium problems in topological vector spaces via KKM maps , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- George Venkov, Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℳ , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Martin V¨ath, A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- William Greenberg, Michael Williams, Global Solutions of the Enskog Lattice Equation with Square Well Potential , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): 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
