At least 15 people were killed and 19 injured in a series of attacks in Jalisco last Friday, during which 11 banks and five gas stations were burned.
The cartel is also suspected of using a rocket-propelled grenade to force down a military helicopter.
Canada's embassy in Mexico has posted a warning on its Facebook page about "narco-blockades" affecting areas in and around the coastal city of Puerto Vallarta and Guadalajara to the east.
The message says "Canadians are advised to limit their movements throughout the cities and follow the advice of local authorities" and to "remain vigilant" and avoid all demonstrations and large gatherings.
The U.S. State department says the Jalisco New Generation drug trafficking cartel has emerged as one of Mexico's most powerful.
— With files from The Associated Press
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