When multilayer links exchange their roles in synchronization

Synchronization in networks of coupled oscillators with mismatches

“…where F, H, B ∈ R n×n are constant matrices. The above approximation for the Jacobian of the local dynamics has been previously validated for saddle-focus oscillators (e.g., the Rössler system) in [22]. Based on the definition of a hyperbolic saddle-focus equilibrium point in [23], we see that the Chua circuit can also be considered a saddle-focus oscillator, so the analysis presented in [22] applies to that case too, as well as to the case of Bernoulli maps [11].…”

“…The above approximation for the Jacobian of the local dynamics has been previously validated for saddle-focus oscillators (e.g., the Rössler system) in [22]. Based on the definition of a hyperbolic saddle-focus equilibrium point in [23], we see that the Chua circuit can also be considered a saddle-focus oscillator, so the analysis presented in [22] applies to that case too, as well as to the case of Bernoulli maps [11]. While this particular assumption results in a loss of generality, it allows us to extend the theory to the case of large parameter mismatches and to analyze whether parameter mismatches either enhance or hinder synchronization, a question that did not find an answer in [10].…”