Winnerless competition principle and prediction of the transient dynamics in a Lotka–Volterra model

DOI10.1063/1.2991108zbMath1309.92064OpenAlexW1979223047WikidataQ51671517 ScholiaQ51671517MaRDI QIDQ5246333

Irma Tristan, Ramon Huerta, Valentin Afraimovich, Mikhail I. Rabinovich

Publication date: 21 April 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2991108

zbMATH Keywords

Lotka-Volterra modelmultispecies ecological systemssimple attractors

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Towards a complex system understanding of bipolar disorder: a map based model of a complex winnerless competition ⋮ Quasiperiodic perturbations of heteroclinic attractor networks ⋮ Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons ⋮ Hierarchical Heteroclinics in Dynamical Model of Cognitive Processes: Chunking ⋮ Abundance of Infinite Switching ⋮ Predicting the separation of time scales in a heteroclinic network ⋮ Patterns of desynchronization and resynchronization in heteroclinic networks ⋮ Action understanding and active inference ⋮ Attractors in complex networks ⋮ Sequential dynamics of master–slave systems ⋮ Adaptive functional systems: Learning with chaos

Cites Work

• The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point
• Random Perturbations of Heteroclinic Attractors
• On the origin of reproducible sequential activity in neural circuits
• Winnerless competition between sensory neurons generates chaos: A possible mechanism for molluscan hunting behavior
• Stochastic differential equations. An introduction with applications.