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Journal of Difference Equations and Applications Volume 12, 2006 - Issue 8
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Short Note

A note on the geometry of invariants

E. S. Thomas Department of Mathematics, University at Albany, Albany, NY, 12222, USACorrespondence[email protected]
,
Aaron S. Clark ERAU, Aviano Center, ItalyView further author information
&
D. R. Wilken Department of Mathematics, University at Albany, Albany, NY, 12222, USAView further author information
Pages 859-861 | Published online: 25 Jan 2007
 
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We present a short geometric proof that the difference equation

admits an invariant which is continuous and which separates solutions as efficiently as possible. The existence of invariants for a wide class of equations, including this one, has been recently established (see, R. Abus-Saris and Q. Al-Hassan, 2005 On globally attracting two-cycles of second order difference equations, Journal of Difference Equations and Applications 11, 1295–1303). This note presents an alternative and conceptually simpler approach.

Notes

§ Email: [email protected]

Additional information

Notes on contributors

Aaron S. Clark

¶ ¶ [email protected]

D. R. Wilken

§ § Email: [email protected]

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