Should all the species of a food chain be counted to investigate the global dynamics?
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Publication:1610054
DOI10.1016/S0960-0779(01)00116-3zbMath1004.92039OpenAlexW2036264212MaRDI QIDQ1610054
Christophe Letellier, Jean Maquet, Luis Antonio Aguirre, Moulay Aziz-Alaoui
Publication date: 18 August 2002
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00116-3
Dynamical systems in biology (37N25) Ecology (92D40) Time series analysis of dynamical systems (37M10)
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Cites Work
- Unnamed Item
- Construction of phenomenological models from numerical scalar time series
- Measuring the strangeness of strange attractors
- Fast projection methods for minimal design problems in linear system theory
- An analytic approach to practical state space reconstruction
- Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
- Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction
- Chaos in three species food chains
- Practical method for determining the minimum embedding dimension of a scalar time series
- Knotted periodic orbits in dynamical systems. I: Lorenz's equations
- Remarks on food chain dynamics
- Global vector field reconstruction including a control parameter dependence.
- Topological analysis of chaotic dynamical systems
- Input-output parametric models for non-linear systems Part II: stochastic non-linear systems
- Orthogonal least squares methods and their application to non-linear system identification
- On the non-equivalence of observables in phase-space reconstructions from recorded time series
- RETRIEVING DYNAMICAL INVARIANTS FROM CHAOTIC DATA USING NARMAX MODELS
- Chaos: An Ecological Reality?
- Analysis of the dynamics of a realistic ecological model
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