One problem related to alternator/generator/regulator has been reported for the 2013 Honda CR-V. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Honda CR-V based on all problems reported for the 2013 CR-V.
Battery was going dead periodically. Thought I was leaving a light on or door open. Told the Honda dealer to check the battery while it was under warranty. They never checked it. Didnt even put that I asked to check it. Out of warranty battery went dead. Did a check at autozone they said it was the altenator. Changed altenator still the same problem. Voltage regulator. The volts only stay up when I keep the headlights on. ( more to this story about my bad dealership experience but don't want to get into it).