Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems

DOI10.1007/s00285-007-0075-9zbMath1145.92036OpenAlexW2114716903WikidataQ51921053 ScholiaQ51921053MaRDI QIDQ938070

Christophe Letellier, Jean Maquet, Luis Antonio Aguirre

Publication date: 18 August 2008

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-007-0075-9

zbMATH Keywords

data analysisglobal modelling

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Construction of phenomenological models from numerical scalar time series
• Practical method for determining the minimum embedding dimension of a scalar time series
• Should all the species of a food chain be counted to investigate the global dynamics?
• Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering
• Modeling and Predicting Non-Stationary Time Series
• The Topology of Chaos
• Chaos: An Ecological Reality?
• Observability of multivariate differential embeddings
• Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables
• Structure-selection techniques applied to continuous-time nonlinear models
• Dynamical analysis and map modeling of a thermionic diode plasma experiment

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