Falcons are ruthless animals with their prey. To tame a falcon, would be to learn the ancient art of controlling one of the world's most independent animals. It would be tantamount to "mastering the master." Hence, to view love as an act of control and submission tells a lot about the society in which this type of love develops.

It is a rough society with masters and servants, primary and secondary citizens, and with its own rules. It is a society where expectations are demanded of genders, not of people. It is a violent, chauvinistic, and ruthless society. Such is the society in which Gabriel Garcia Marquez, ironically, developed his magical realism, and the society in which he bases Chronicles.

As such, it is no surprise that Marquez chooses Gil Vicente's quote, "The pursuit of love is like falconry," to expose the society in which Chronicles of a Death Foretold is based out of. He is not only juxtaposing two totally opposite activities, love and falconry, but he is also showing his society for what it is: ridiculous, violent, pathetic. Only in a world with horrid standards could love be possibly connected with falconry.

"Love can be learned" is an extension of the falconry phrase. The women of the story, all second-class Latin American citizens, are subjected to the demands of men. They even act against one another in order to preserve the roles expected, nay, demanded, of their gender. Therefore, to them, love is not a choice, or a naturally grown emotion. It is yet one more lesson to be learned as the secondary characters that they are forced to be. They are to love who they are told to love, and they better like it. Such is the world of chauvinism.

"Honor is love" is the phrase that completes the "trifecta" of irony regarding love and Garcia Marquez. The honor killings that take place in Chronicles on behalf of Angela's honor would only would make sense in the minds of narrow-minded individuals like those in the novella. That honor is equated to love is yet another pathetic attempt at justifying the killing of another human being in a society where violence is not just expected, but encouraged.

In all, all three phrases are ironic, and that is the point of using them. Love is nothing like falconry. They are two entirely different things. Love is not a learned behavior, either; it is an emotion. Honor is honor, and love is love. They are not the same thing. These are examples of the genius of Garcia Marquez, and how he uses phrases and words to elicit in us questions and emotions that makes us wonder further about ourselves and those around us.

You did not include the passages, but I have some thoughts on the theme.

Falconry is a sport in which birds are trained to hunt.  These lines are quoted from a poem by Gil Vicente: “the pursuit of love/ is like falconry.”  The idea is that love kind of sneaks up on you.  At first, you find and train the falcon with the objective of hunting, but then you become attached to it and cannot get along without it.

The idea that love can be learned applies to people who have suffered such difficult events in their lives that they have not learned how to love in childhood, when most people do.  Angela’s misery, for example, is based on her early experiences with love and losing her honor.  She can recover, and learn to love.

Honor is love is an interesting theme, because Angela’s loss of honor is what spins the story into motion.  By trying desperately to regain her honor for her, her brothers demonstrate their love for her.

Perhaps I can point you to an approach that would work.  Each one of these statements about love seem to be ironic ones.  They are stated as truths, but in each case, when these truths supposedly are applied, they become a formula for disaster.  Falconry is a sport, a hunting sport. Falcons are trained and used to hunt prey.  We see the courting rituals of Bayardo, who attempts to capture his prey--Angela.  He uses his money as biat and a trap. 

When Angela resists, her mother comments that "love can be learned."  Angela marries Bayardo to comply with the wishes of her family, who are selling her off to the richest man they have ever known.  Bayardo upon finding out that she is not a virgin returns her, as if she were damaged goods.  A relationship that is begun with such fragile beginnings has no hope of growing. 

The last statement, "honor is love," can be taken ironically as well.  The Vicario twins act out of duty, or a sense of honor, to avenge the perpetrator who took their sister's virginity. But they do not act out of love.  Bayardo acts out of honor when he returns Angela to her home.   

In other words, the characters seem to believe that they are acting according the dictates of society.  In actually, Marquez shows how complex relationships are and that no rules truly govern them.  Characters will use honor or money as excuses for their actions, but in reality these ideas are not truly connected to love.  Love is not falconry.  It is not a cat and mouse game.  Neither can it be learned through forcing two people together because one has money and the other does not.  It is also not honor, at least the way honor is portrayed in the novel--as a justification for murder or  for publicly humiliating a young bride.