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Formal Derivation of Lotka–Volterra–Haken Amplitude Equations of Task-Related Brain Activity in Multiple, Consecutively Performed Tasks

International Journal of Bifurcation and Chaos, 2016
The Lotka–Volterra–Haken equations have been frequently used in ecology and pattern formation. Recently, the equations have been proposed by several research groups as amplitude equations for task-related patterns of brain activity. In this theoretical study, the focus is on the circular causality aspect of pattern formation systems as formulated ...
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New Integrable Dynamical Systems Derived from the Lie Algebraic Structure of the Homogeneous Lotka–Volterra Ladder Equation

Journal of the Physical Society of Japan, 2013
The \(n\)-dimensional homogeneous Lotka–Volterra (HLV) ladder equation possesses Lie symmetries that generate a Lie algebra isomorphic to \(\mathfrak{sl}_{n}(\mathbb{K})\) [J. Phys. Soc. Jpn. 71 (2002) 2396 and 72 (2003) 973], where \(\mathbb{K}=\mathbb{C}\) or \(\mathbb{R}\).
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A useful extension of Mittag-Leffler type fractional derivatives with respect to functions: An application to a fractional Lotka-Volterra system

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Lotka–Volterra systems with Lévy noise

Journal of Mathematical Analysis and Applications, 2014
Meng Liu
exaly  

Market share dynamics using Lotka–Volterra models

Technological Forecasting and Social Change, 2016
Addolorata Marasco
exaly  

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