The scaling behaviors of ion single channel current signal time series could be analyzed by means of detrended fluctuation analysis. Nevertheless, the statistical analysis of an ionic current signal recorded from voltage dependence K+ single channel is presented. The detrended fluctuation analysis (DFA) exponent alpha is significantly larger than 0.5, as (DFA) exponents were calculated for 4 different pipette potentials in rat dorsal root ganglion neurons. alpha=0.9475+/-0.006 for V=-30 mV; alpha=0.958+/-0.004 for V=-40 mV; alpha=0.966+/-0.005 for V=-50 mV; alpha=0.971+/-0.03 for V=-60 mV. The scaling exponents for different pipette potentials reveal the existence of memory in ion channels, and at the same time, the memory in ion channel depends on the pipette potential. The result of Markovian model data showed that it had different DFA exponent alpha which indicates that long-range correlation effect is present amongst the continued conducting states of the ion channel. Thus a scaling exponent description is found to characterize the fluctuation properties of the non-linear behaviors of ion channel kinetics regardless of whether the channel is in open or closed state.
This paper investigates the Cucker-Smale flocking control problem of leader-follower multiagent systems in the presence of periodic intermittent communication, in which networked agents update the states by communicating with their neighbors during active periods and remain stable during dormancy periods. A distributed update algorithm that relies on the position error between agents is designed. Based on this algorithm, the problem of Cucker-Smale flocking with periodic intermittent communication is first transformed into a convergence problem of infinite products of nonnegative matrices. Then, this convergence problem is theoretically solved by using hybrid tools including nonnegative matrix analysis and graph theory. Finally, a sufficient condition, which relates to the weight function and the period length of intermittent communication is established. Moreover, numerical examples are presented to demonstrate the validity of the theoretical result.
INDEX TERMSFlocking control, Cucker-Smale model, multiagent systems, intermittent communication.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.