Trivial dynamics in discrete-time systems: carrying simplex and translation arcs (Q4569236)

scientific article; zbMATH DE number 6896991

Language	Label	Description	Also known as
English	Trivial dynamics in discrete-time systems: carrying simplex and translation arcs	scientific article; zbMATH DE number 6896991

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instance of

scholarly article

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title

Trivial dynamics in discrete-time systems: carrying simplex and translation arcs (English)

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28 June 2018

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full work available at URL

http://hdl.handle.net/10138/301293

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zbMATH Keywords

trivial dynamics

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carrying simplex

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translation arcs

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fixed point index

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MaRDI profile type

MaRDI publication profile

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cites work

Systems of differential equations which are competitive or cooperative: III. Competing species

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Abstract competitive systems and orbital stability in $\mathbf{{\mathbb R}^3}$

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Stable periodic orbits for a class of three dimensional competitive systems

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Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems

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Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits

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On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate

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From local to global behavior in competitive Lotka-Volterra systems

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Ann-dimensional competitive Lotka Volterra system is generically determined by the edges of its carrying simplex

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Periodic competitive differential equations and the discrete dynamics of competitive maps

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Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems

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On existence and uniqueness of the carrying simplex for competitive dynamical systems

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Carrying simplices in discrete competitive systems and age-structured semelparous popula\-tions

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Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding

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Exclusion and dominance in discrete population models via the carrying simplex

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On heteroclinic cycles of competitive maps via carrying simplices

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On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex

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Global stability of higher dimensional monotone maps

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TheC1property of convex carrying simplices for three-dimensional competitive maps

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A two-dimensional mapping with a strange attractor

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On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points

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On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex

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On the dynamics of multi-species Ricker models admitting a carrying simplex

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On the complete classification of nullcline stable competitive three-dimensional Gompertz models

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Fixed point index and fixed point theorem for Euclidean neighborhood retracts

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Q3344848

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A strategy to locate fixed points and global perturbations of ODE's: mixing topology with metric conditions

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Q4141027

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Identifiers

zbMATH Open document ID

1391.37018

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DOI

10.1088/1361-6544/aab46e

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4569236