Various notions of topological transitivity in non-autonomous and generic dynamical systems

Key Points

• This research aims to explore different concepts of topological transitivity in non-autonomous discrete dynamical systems and their interrelations.
• Analyzed various definitions of topological transitivity in non-autonomous systems.
• Established equivalent conditions for each definition.
• Investigated implications between different notions of transitivity.
• Identified multiple equivalent conditions for notions of topological transitivity.
• Demonstrated how rearrangements of non-autonomous systems affect transitivity concepts.