Oscillators and Coupling 2

Factors Influencing the Behavior of Systems of Oscillators

• How many oscillators are there?
• Do their periods start the same?
• Do their initial periods vary? How much?
• Are they coupled with input?
• Are they coupled to each other?
• Are their phases coupled? How? How much?
• Are their periods coupled? How? How much?
• Do their periods decay to some resting value?
• If they have resting periods, how similar are they to each other?

Some Examples

• 3 oscillators beginning at different phases, finally synchronizing (two views)

  

  

  

  

• 3 oscillators with different resting periods, coupled, and decaying to resting periods; failing to synchronize

  

  

• 2 oscillators with different resting periods, coupled, and decaying to resting periods; finally synchronizing more or less

  

  

• 3 oscillators with different initial periods, coupled, no decay

  

• 40 oscillators, coupled, no decay

  

  

• 40 oscillators, coupled, decay to resting periods