A BIQUADRATIC SYSTEM OF TWO ORDER ONE DIFFERENCE EQUATIONS: PERIODS, CHAOTIC BEHAVIOR OF THE ASSOCIATED DYNAMICAL SYSTEM

DOI10.1142/S0218127412502665zbMath1258.37044OpenAlexW2037701773MaRDI QIDQ4908370

Guy Bastien, Marc Rogalski

Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412502665

zbMATH Keywords

periodic solutionsdifference equationsdynamical system

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Periodic orbits of vector fields and flows (37C27) Invariant manifold theory for dynamical systems (37D10)

Related Items (5)

Unnamed Item ⋮ The periodic orbits of a dynamical system associated with a family of QRT-maps ⋮ Lie symmetries of birational maps preserving genus 0 fibrations ⋮ QRT-families of degree four biquadratic curves each of them has genus zero, associated dynamical systems ⋮ Unnamed Item

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
• Integrable mappings and soliton equations
• Integrable mappings and soliton equations. II
• On 2- and 3-periodic Lyness difference equations
• Unnamed Item
• Unnamed Item

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