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Stability theory, including global stability (in dynamical systems, where it can notably be used in combination with ds.dynamical-systems)

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Stability Problem in a Nonlinear Dynamical System

Consider the nonlinear dynamical system given by the following differential equations \begin{cases} \dot{x} = y, \\ \dot{y} = x - x^3 - \gamma y + \delta x^2 y. \end{cases} I want to demonstrate that, …
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