Dynamical robustness of coupled heterogeneous oscillators

Citations Over TimeTop 10% of 2014 papers

Abstract

We study tolerance of dynamic behavior in networks of coupled heterogeneous oscillators to deterioration of the individual oscillator components. As the deterioration proceeds with reduction in dynamic behavior of the oscillators, an order parameter evaluating the level of global oscillation decreases and then vanishes at a certain critical point. We present a method to analytically derive a general formula for this critical point and an approximate formula for the order parameter in the vicinity of the critical point in networks of coupled Stuart-Landau oscillators. Using the critical point as a measure for dynamical robustness of oscillator networks, we show that the more heterogeneous the oscillator components are, the more robust the oscillatory behavior of the network is to the component deterioration. This property is confirmed also in networks of Morris-Lecar neuron models coupled through electrical synapses. Our approach could provide a useful framework for theoretically understanding the role of population heterogeneity in robustness of biological networks.

Related Papers

• → Current Oscillation and Potential Oscillation in Semiconductors with a Dombbell-Shaped Structure(1985)5 cited
• → Development and Design Optimization of 2Y Hexarotor with Robustness against Rotor Failure(2020)2 cited
• → Oscillation and Strong Oscillation for Impulsive Neutral Parabolic Differential Systems with Delays(2005)
• → Researching robustness of information system for measuring of microcontrollers average power consumption(2017)
• → Robustness Assessment of Complex Networks using the Idle Network(2022)