Related Experiment Video
Updated: May 8, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Winnerless competition in coupled Lotka-Volterra maps
L A González-Díaz1, E D Gutiérrez, P Varona
1Laboratorio de Dinámica Estocástica, Centro de Física, Instituto Venezolano de Investigaciones Científicas, Caracas 1020-A, Venezuela. lagonzalezd@gmail.com
Abstract:
Winnerless competition is analyzed in coupled maps with discrete temporal evolution of the Lotka-Volterra type of arbitrary dimension. Necessary and sufficient conditions for the appearance of structurally stable heteroclinic cycles as a function of the model parameters are deduced. It is shown that under such conditions winnerless competition dynamics is fully exhibited. Based on these conditions different cases characterizing low, intermediate, and high dimensions are therefore computationally recreated. An analytical expression for the residence times valid in the N-dimensional case is deduced and successfully compared with the simulations.
Related Concept Videos
Competition
Limits to Natural Selection
Microbial Interactions: Competition
Conservation of Small Populations
Linear Differential Equations
Alternative Sets of Equilibrium Equations
One example of such a situation can be observed in a...
