Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics

Andrzejak, Ralph Gregor; Laiou, Petroula

doi:http://dx.doi.org/10.1103/PhysRevE.95.012210

Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics

Citation

Laiou P, Andrzejak RG. Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics. Phys Rev E. 2017 Jan;95(1):012210. DOI: 10.1103/PhysRevE.95.012210

Abstract

The understanding of interacting dynamics is important for the characterization of real-world/nnetworks. In general real-world networks are heterogeneous in the sense that each node of the/nnetwork is a dynamics with di erent properties. For coupled non-identical dynamics symmetric/ninteractions are not straightforwardly de ned from the coupling strength values. Thus, a challenging/nissue is whether we can de ne a symmetric interaction in this asymmetric setting. To address this/nproblem we introduce the notion of the coupling impact. The coupling impact considers not only/nthe coupling strength but also the energy of the individual dynamics which is conveyed via the/ncoupling. To illustrate this concept, we follow a data-driven approach by analyzing signals from pairs/nof coupled model dynamics using two di erent connectivity measures. We nd that the coupling/nimpact, but not the coupling strength, correctly detects a symmetric interaction between pairs of/ncoupled dynamics regardless of their degree of asymmetry. Therefore, this approach allows to reveal/nthe real impact that one dynamics has on the other and hence to de ne symmetric interactions in/npairs of non-identical dynamics.