Basin of attraction of triangular maps with applications
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Publication:2941697
DOI10.1080/10236198.2013.852187zbMath1319.39007arXiv1307.6666OpenAlexW3121728048MaRDI QIDQ2941697
Anna Cima, Víctor Mañosa, Armengol Gasull
Publication date: 24 August 2015
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6666
periodic solutionsattractorsdifference equationsdiscrete dynamical systemstriangular mapsquasi-homogeneous maps
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Multiplicative and other generalized difference equations (39A20)
Related Items (5)
On the global dynamics of periodic triangular maps ⋮ Hierarchical competition models with the Allee effect III: multispecies ⋮ Hierarchical competition models with the Allee effect II: the case of immigration ⋮ Unnamed Item ⋮ Properties of basins of attraction for planar discrete cooperative maps
Cites Work
- Non-integrability of measure preserving maps via Lie symmetries
- Dynamical systems. An introduction
- On the solutions of the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+ax_{n}x_{n-1}}\)
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- New results on the stability of discrete-time systems and applications to control problems
- Global behaviour of a second-order nonlinear difference equation
- Existence of unbounded solutions of time varying systems and failure of global asymptotic stability in discrete-time cascade systems
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