A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems

<table>For system (<a href="https://static.hindawi.com/articles/jam/volume-2012/749847/figures/#EEq3.4">3.4</a>), when <svg height="11.9" id="M154" style="vertical-align:-0.30096pt" version="1.1" viewbox="0 0 80.787498 11.9" width="80.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.9)">
<g transform="translate(72,-62.48)">
<text transform="matrix(1,0,0,-1,-71.95,62.83)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.905256" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.156755" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.282507" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="41.009838" y="0">&gt;</tspan>
<tspan style="font-size: 12.50px; " x="53.050228" y="0">𝜏</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">∗</tspan>
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</svg>, the periodic solution bifurcates from the equilibrium.</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems 