Chaos in rational systems in the plane containing quadratic terms

DOI10.1016/j.cnsns.2012.01.035zbMath1252.39025OpenAlexW2016832959MaRDI QIDQ450387

Reza Mazrooei-Sebdani

Publication date: 13 September 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.01.035

zbMATH Keywords

snap-back repellerchaosplanequadraticLi-YorkeMarottorational system

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Chaotic behavior of solutions of difference equations (39A33)

Related Items (3)

Li–Yorke Chaos in Perturbed Rational Difference Equations ⋮ Non-autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case ⋮ Planar homogeneous systems of difference equations

Cites Work

• Dynamics of a rational system of difference equations in the plane
• A two-dimensional mapping with a strange attractor
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• An improved version of the Marotto theorem
• A coupled system of rational difference equations
• Global asymptotic behavior of a two-dimensional difference equation modelling competition
• On redefining a snap-back repeller
• Dynamics of certain anti-competitive systems of rational difference equations in the plane
• THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE
• Global results on rational systems in the plane, part 1
• Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
• Period Three Implies Chaos
• The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set
• Dynamics of rational difference equations containing quadratic terms
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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