DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS
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Publication:3510189
DOI10.1142/S0218127406015027zbMath1141.37310MaRDI QIDQ3510189
Anna Cima, Víctor Mañosa, Armengol Gasull
Publication date: 2 July 2008
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional dynamical systems (37E99) Smooth dynamical systems: general theory (37C99) Multiplicative and other generalized difference equations (39A20)
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Cites Work
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- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Zeeman's monotonicity conjecture
- Invariants and related Liapunov functions for difference equations
- Global Behavior of the Solutions of Lyness' Difference Equation
- Invariant Curves and Focal Points in a Lyness Iterative Process
- A Darboux-type Theory of Integrability for Discrete Dynamical Systems
- On Periodic Rational Difference Equations of Orderk
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