Collection of PhD theses of (former)
members of the research group
PhD thesis
jr309 Janosch Rieger.
Shadowing and numerical analysis of set-valued dynamical systems
In this PhD thesis, shadowing theory is
systematically generalized to set-valued discrete-time dynamical
systems. In particular, a notion of hyperbolicity is proposed and the
corresponding shadowing and inverse shadowing theorems are
proved. Explicit error estimates for the Viability Kernel Algorithm
are given for systems which possess the shadowing property.
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Dissertation.pdf (388 kb)
