Measuring nonequilibrium stability and resilience in an \(n\)-competitor system

DOI10.1016/j.nonrwa.2009.05.003zbMath1188.93100OpenAlexW2001169004MaRDI QIDQ974620

B. E. Eshmatov

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.05.003

zbMATH Keywords

stabilityensemble averageresiliencenonequilibrium attractor

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Stability of control systems (93D99)

Related Items (1)

Coexistence in a one-predator, two-prey system with indirect effects

Cites Work

• Determining Lyapunov exponents from a time series
• A reaction-diffusion equation for a cyclic system with three components
• The heteroclinic cycle in the model of competition between \(n\) species and its stability
• The dynamics of two diffusively coupled predator--prey populations.
• Topological analysis of chaotic dynamical systems
• Random Perturbations of Heteroclinic Attractors
• Nonlinear Aspects of Competition Between Three Species
• Permanence and global stability for competitive Lotka-Volterra diffusion systems
• Destabilization by noise of transverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory
• Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking
• A chaotic attractor in ecology: Theory and experimental data

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