Multistability and Instability of Competitive Neural Networks with Mexican-Hat-Type Activation Functions

<table>Phase plot of state variable <svg height="20.4125" id="M562" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 80.025002 20.4125" width="80.025002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,21.775,16.263)"><path d="M95 130q31 0 61 -30t30 -78q0 -53 -38 -87.5t-93 -51.5l-11 29q77 31 77 85q0 26 -17.5 43t-44.5 24q-4 0 -8.5 6.5t-4.5 17.5q0 18 15 30t34 12z" id="x2C"></path></g><g transform="matrix(.017,-0,0,-.017,28.473,16.263)"><path d="M536 404q0 -17 -13.5 -31.5t-26.5 -14.5q-8 0 -15 10q-11 14 -25 14q-22 0 -67 -50q-47 -52 -68 -82l37 -102q31 -88 55 -88t78 59l16 -23q-32 -48 -68.5 -78t-65.5 -30q-19 0 -37.5 20t-29.5 53l-41 116q-72 -106 -114.5 -147.5t-79.5 -41.5q-21 0 -34.5 14t-13.5 37
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</svg> in Example <a href="https://static.hindawi.com/articles/aaa/volume-2014/901519/figures/#ex2">2</a>.</table>

Abstract and Applied Analysis

fig15

Figure 15

Figure 15: Multistability and Instability of Competitive Neural Networks with Mexican-Hat-Type Activation Functions 