One good thing about these periodic trajectories / interplanetary orbits, be it Mars Cyclers, Earth-Moon Cyclers (gravity assist UP/DOWN Escalator Orbits), or Resonant Cyclers (fixed VISIT Orbits) is that they can be maintained with a relatively small penalty for the total mass of the spacecraft, so they could be whole industry complexes processing raw goods for later delivery to the planets or moons they pass along their route, while using processing byproducts and remains for reaction mass, shielding, construction materials, or life support.
Since mass comes at a small expense, spacecraft in circulating orbits in inner Solar system where sunlight is sufficient might as well maintain whole greenhouses and gardens for oxygen and food requirements of their inhabitants. This advantage in maintaining stable orbits of large mass bodies cheaply is also briefly described in Circulating transportation orbits between earth and Mars, Friedlander et al., SAIC / JPL (PDF):
Circulating orbits share one potential advantage for manned
transportation between Earth and Mars. They allow a large orbiting
facility (herein called a "CASTLE") providing all power, living and
work space, life support, gravity environment, and solar storm shelter
to be "once-launched", thereby obviating the need to carry these
massive elements repeatedly through large planetocentric ΔV
maneuvers. Transportation to and from these CASTLES is carried out by
smaller Space Taxis using hyperbolic rendezvous techniques.
Additionally, many of these trajectories also extend far beyond the visiting planets, several AU past Mars and into the Asteroid belt, where raw materials they would process could come from. Granted, these would still have to be delivered to cyclers while maintaining their momentum, but they would then have a long time for any needed trajectory corrections, and still deliver processed goods in time.
Alternatively, since there's small to no mass penalty assuming no loss of momentum during boarding, they could simply serve as a taxi service for interplanetary travel, providing temporary habitat with all the infrastructure required for it. Trajectories could also be maintained with large solar sails that don't use any consumables, so they could be viable means of propulsion for a very long time.
Together with Interplanetary Transport Network, all of these could serve as a low-maintenance and cheap connecting transport routes for, say, space mining industry, processing plants, space laboratories, personnel transport, and so on.
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