Figure 2From: Existence of chaos for partial difference equations via tangent and cotangent functionsSimulations for system (3) with (6), where \(n=0, 1, \ldots , 10\text{,}000\) and \(p=1\). In the 2-D graph, \(k=1\), and the initial values are \(x(0,0)=1\), \(x(0,1)=-0.1\). In the 3-D graph, \(k=2\), and the initial value are \(x(0,0)=0.1\), \(x(0,1)=-0.1\), and \(x(0,2)=0.1\)Back to article page