Figure 3 | Scientific Reports

Figure 3

From: Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system

Figure 3

(a) The hidden attractor with \((a,b_{1},b_{2},b_{3},b_{4},c)=(3,1.179,-7,-50,8,0.3)\) and initial conditions \((\pm 0.05, \pm 0.03, 0.03)\), (b) Lyapunov exponents. Outgoing separatrices of unstable zero equilibrium \(S_{0}\) with initial conditions \((x_{0}^{1,2}, y_{0}^{1,2}, z_{0}^{1})=(\pm 0.1382, \pm 0.1618, 0)\times 1e^{-7}\) tend to two symmetric stable equilibria \(S_{\pm }=(\pm 0.0805,\pm 0.0805,0.0216)\).

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