Three theorems give sufficient conditions for commutative non-autonomous systems to be topologically stable via combinations of equicontinuity, expansiveness, and shadowing properties.
Cull, Difference equations as biological models, Scientiae Mathem aticae Japonicae, 64 (2006), 217–234
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Topologically Stable Equicontinuous Non-Autonomous Systems
Three theorems give sufficient conditions for commutative non-autonomous systems to be topologically stable via combinations of equicontinuity, expansiveness, and shadowing properties.