BIFURCATIONS ANALYSIS OF POPULATION INVASION: ON–OFF INTERMITTENCY AND BASIN RIDDLING

DOI10.1142/S0218127400000281zbMath1090.92510WikidataQ119960918 ScholiaQ119960918MaRDI QIDQ5474070

O. De Feo, Régis Ferrière

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40)

Related Items (4)

On-off intermittency and irruptions in host-parasitoid dynamics ⋮ Adaptive delayed reproduction in a 2-dimensional discrete-time competition model ⋮ On-off intermittency in population outbreaks: reactive equilibria and propagation on networks ⋮ Multiple attractors in host-parasitoid interactions: coexistence and extinction

Cites Work

• Intermittency as a codimension-three phenomenon
• Coexistence for systems governed by difference equations of Lotka- Volterra type
• The evolutionary optimality of oscillatory and chaotic dynamics in simple population models
• The stabilizing effect of a random environment
• Lyapunov exponents and the mathematics of invasion in oscillatory or chaotic populations
• Bubbling of attractors and synchronisation of chaotic oscillators
• Invasibility and stochastic boundedness in monotonic competition models
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• Does environmental variability limit niche overlap?
• BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
• RIDDLED BASINS
• From attractor to chaotic saddle: a tale of transverse instability

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