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Mathematical Modelling

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Unduh - Bebas
Nguyễn Gia Hào

Academic year: 2023

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Fig. 1.1 (Left) A smooth rate function f ( x ) with three equilibrium points, (Right) corresponding dynamics on the phase line for (1.23) obtained from local properties of f at its equilibrium points
Fig. 1.2 The graph of y = f ( x ) = h ( x ) − k for (1.29), giving the dynamics for x ( t ) on different phase lines, graphically parametrised by y = k
Table 1.2 Geometry of trajectories near equilibrium point x ∗ in terms of the eigenvalues
Table 1.1 Asymptotic stability of equilibrium point x ∗ in terms of eigenvalues from the linear stability analysis
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