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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

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Stability analysis of equilibrium point of non-linear ODE system with Jacobian going to infi...

Let's say I have a nonlinear system of ODEs, where one of equations looks like: $$ \frac{dX_i}{dt} = a_1X_0+\dotsb+a_j\frac{X_j^{0.5}}{X_j^{0.5}+b_j^{0.5}}+\dotsb. $$ And equilibrium point is 0. I wan …
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