Hierarchical structures in Lotka-Volterra type equations

Hidetsugu Sakaguchi

doi:10.1016/0375-9601(94)91040-5

Hierarchical structures in Lotka-Volterra type equations

Hidetsugu Sakaguchi

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

A Lotka-Volterra type equation with nonlinear interactions is studied. Prey-predator relations are generated as a result of the dynamic instability of the homogeneous state and the hierarchical structure is self-organized. Similar layered structures appear also in the neural network model in which the synaptic connections are modified nonlinearly.

Original language	English
Pages (from-to)	38-42
Number of pages	5
Journal	Physics Letters A
Volume	196
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(94)91040-5
Publication status	Published - Dec 19 1994

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/0375-9601(94)91040-5

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title = "Hierarchical structures in Lotka-Volterra type equations",

abstract = "A Lotka-Volterra type equation with nonlinear interactions is studied. Prey-predator relations are generated as a result of the dynamic instability of the homogeneous state and the hierarchical structure is self-organized. Similar layered structures appear also in the neural network model in which the synaptic connections are modified nonlinearly.",

author = "Hidetsugu Sakaguchi",

year = "1994",

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AU - Sakaguchi, Hidetsugu

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AB - A Lotka-Volterra type equation with nonlinear interactions is studied. Prey-predator relations are generated as a result of the dynamic instability of the homogeneous state and the hierarchical structure is self-organized. Similar layered structures appear also in the neural network model in which the synaptic connections are modified nonlinearly.

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JO - Physics Letters A

JF - Physics Letters A

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Hierarchical structures in Lotka-Volterra type equations

Abstract

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