Global behavior of the solutions of thek-lacunary order 2kLyness' difference equation in , and of other more general equations
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Publication:3422793
DOI10.1080/10236190601008737zbMath1112.39012OpenAlexW1989880315MaRDI QIDQ3422793
Publication date: 14 February 2007
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190601008737
Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Multiplicative and other generalized difference equations (39A20)
Related Items (5)
On second-order rational difference equations, part 1 ⋮ On second-order rational difference equations, Part 2 ⋮ On third-order rational difference equations, part 1 ⋮ Global behaviour of solutions of cyclic systems ofqorder 2 or 3 generalized Lyness' difference equations and of other more general equations of higher order ⋮ Results and conjectures about order \(q\) Lyness' difference equation \(u_{n+q}u_n=a+u_{n+q - 1}+ \dots +u_{n+1}\) in \(\mathbb R_{\ast}^+\), with a particular study of the case \(q=3\)
Cites Work
- On some algebraic difference equations \(u_{n+2} u_{n}= \psi(u_{n+1})\) in \(\mathbb R_*^+\), related to families of conics or cubics: generalization of the Lyness' sequences
- Zeeman's monotonicity conjecture
- The oscillatory character of the recursive sequence \(x_{n+1}= \frac {\alpha+\beta x_{n-k+1}}{A+Bx_{n-2k+1}}\)
- On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
- DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS
- Global Behavior of the Solutions of Lyness' Difference Equation
- On Periodic Rational Difference Equations of Orderk
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