Quasicycles revisited: apparent sensitivity to initial conditions

DOI10.1016/S0040-5809(03)00086-8zbMath1102.92060WikidataQ47591660 ScholiaQ47591660MaRDI QIDQ851318

Pierre Mazzega, Mercedes Pascual

Publication date: 20 November 2006

Published in: Theoretical Population Biology (Search for Journal in Brave)

zbMATH Keywords

Nonlinear time series analysisEdge of chaosEnvironmental noiseNoisy predator-prey systemQuasicyclic dynamicsSensitivity to initial conditionsStochastic chaos

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Related Items (3)

Adaptive control of chaotic systems with stochastic time varying unknown parameters ⋮ Control of stochastic chaos using sliding mode method ⋮ Passivity-sliding mode control of uncertain chaotic systems with stochastic disturbances

Uses Software

• FUNFITS

Cites Work

• The theory of prey-predator oscillations
• Delay embeddings for forced systems. I: Deterministic forcing
• Embedding as a modeling problem
• Independent coordinates for strange attractors from mutual information
• Ergodic theory of chaos and strange attractors
• Stochastic Dynamics and Deterministic Skeletons: Population Behavior of Dungeness Crab
• Sustained oscillations in stochastic systems
• Categories of chaos and fractal basin boundaries in forced predator-prey models
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