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Invariant Sphere Theorem and Ring-Coupled Systems

Soares, Pedro
arXiv (All) · Papers
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dynamical-systems
In this work, we show how heteroclinic networks can arise in a simple class of network dynamical systems through the application of the Invariant Sphere Theorem. Ring-coupled systems are ODE networks in $\mathbb{R}^n$ in which each variable $x_i$ interacts only with its predecessor $x_{i-1}$. We der
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