Interior periodic points of a Lotka–Volterra map

DOI10.1080/10236198.2011.583241zbMath1246.37063OpenAlexW2109067185MaRDI QIDQ2881927

Peter Maličký

Publication date: 3 May 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.583241

zbMATH Keywords

periodic pointJacobi matrixBrouwer theoremitinerarysaddle fixed point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

On the Concept of Integrability for Discrete Dynamical Systems. Investigation of Wandering Points of Some Trace Map. ⋮ Milnor and Topological Attractors in a Family of Two-Dimensional Lotka–Volterra Maps ⋮ Bifurcations in a one-parameter family of Lotka-Volterra 2D transformations ⋮ Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem ⋮ Quadratic non-stochastic operators: examples of splitted chaos ⋮ A new algorithm for solving all the real roots of a nonlinear system of equations in a given feasible region ⋮ On Pure Quasi-Quantum Quadratic Operators of 𝕄₂(ℂ)

Cites Work

• Dynamics of a Lotka–Volterra map
• Minimum-dimension trace maps for substitution sequences
• Trace maps for arbitrary substitution sequences

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