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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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Generalized Eigenvector in Dynamical System in Infinite Dimensions
Consider a system of linear delay differential equations:
$$
\dot{z_1}(t) = z_1(t) + z_2(t-1)
$$
$$
\dot{z_2}(t) = z_2(t) + z_3(t-1)
$$
$$
\dot{z_3}(t) = z_3(t) - z_1(t-1)
$$
The charact …