Hmmm, good question. I am an ultra-endurance cyclist, so explosive strength training for cycling is not something Iāve thought too hard on. Knee extensors (quads), knee flexors (hams) and hip extensors (glutes) are the main power sources in sprinting on a bike.
Leg press (at lower weight) would be a place you could practice explosive strength during the concentric phase. Descend to the low position and then explode upwards. Most leg presses will put you in a state that is very flexed at the hipsācloser to how you would be positioned on a bike. Iām not sure where one might find this magical machine, but you can do alternating explosive leg press on a regular leg press (please make sure to put the safeties in a place that will protect you, should you mess this up).
Honestly most pylos (like box jumps) would be applicable. A lot of lifts can be done explosively at lower weights, eg, BB jump squat and trap bar jumps. Thrusters will have a bit more spinal erector engagement, which has been correlated with sprint strength. The press portion might be awash as far as cycling goes; Iām more thinking about the front-loaded weight forcing more erector engagement. BB explosive step ups might be another good alternating leg option. I used to do them a bunch for football, really stomping the bench on the way up.
You can also do explosive strength training on a stationary bike at very high resistance using all-out effortsāthe maximum you can sustain for X # of seconds. (Iām sure track cyclists have better ideas about how to set this up.)
Youāll notice I didnāt put clean and snatch on this list. The olympic lifts are actually not as explosive as they appear. I was taught to yoink the BB up during football, but then had to un-learn that when I did a bit of training at a proper weightlifting gym. It also takes an order of magnitude more time to learn these compared to squat and DL.
EDIT: I should add that itās not that gym strength needs to be converted to sport-specific strength. You just need to make sure that your gym strength is relevant to your sport (ie, are the muscle groups and movements relevant to cycling?). Squat is very relevant to cycling. Bench press is not. (I truly have no idea why bench is on TRās strength standards, other than its outsized importance in the XY community.) More info on proposed mechanisms for why strength training benefits cyclists can be found here. Weāre after adaptations in the neural system, muscular efficiency, muscle size (hypertrophy), mind-muscle connection, etc. Finding cycling-relevant gym exercises to benefit explosiveness in particular is just tuning the type of adaptions weāre after to those more correlated with explosive strength.
As for how these would fit into the program above, Iāll admit Iām a bit out of my lane here. My main experience with plyos was back before I started self-programmingāI just did whatever my coaches told me to do. The general rule of thumb is to do them before lifting for the best results, but Iāve also seen them after, and during (mixed in or swapped with the lift theyāre associated with). They definitely should be gradually eased into if you havenāt done plyos in a while. Iāve started adding some baby plyos into the end of my workouts, supersetted with core, after upper body work has given the lower body some respite. Not for explosiveness training, just working on loading my injured knee/quad during dynamic movement.