A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions-Reference-Cited by-同舟云学术

A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions

Published:2016 Issue: Volume: Page:237-265
ISSN:2194-1009
Container-title:Difference Equations, Discrete Dynamical Systems and Applications
language:
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Author:

Bastien Guy,Rogalski Marc

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-662-52927-0_18

Reference12 articles.

1. Appel et, P., Lacour, E.: Principes de la théorie des fonctions elliptiques. Gauthier-Villars, Paris (1897)

2. Bastien, G., Rogalski, M.: Global behaviour of the solutions of Lyness’ difference equations. J. Differ. Equ. Appl. 10, 977–1003 (2004)

3. Bastien, G., Rogalski, M.: On some algebraic difference equations $$u_{n+2}u_n=\psi (u_{n+1})$$ u n + 2 u n = ψ ( u n + 1 ) in $$\mathbb{R}^+_*$$ R ∗ + , related to families of conics or cubics: generalization of the Lyness’ sequences. J. Math. Anal. Appl. 300, 303–333 (2004)

4. Bastien, G., Rogalski, M.: On the algebraic difference equations $$u_{n+2}+u_n=\psi (u_{n+1})$$ u n + 2 + u n = ψ ( u n + 1 ) in $$\mathbb{R}$$ R , related to a family of elliptic quartics in the plane. J. Math. Anal. Appl. 326, 822–844 (2007)

5. Bastien, G., Rogalski, M.: Level sets lemmas and unicity of critical point of invariants, tools for local stability and topological properties of dynamical systems. Sarajev. J. Math. 8(21), 273–282 (2012)

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