Various organisms share certain basic rules for a searching behavior. We hypothesize that these rules may emerge from basic properties of nonlinear systems as a whole, rather then being evolved from a scratch gradually. In order to support this hypothesis, we have developed a virtual agent that consists of three simple nonlinear oscillators. These oscillators are driven by an internal noise, wh...

The authors have proposed a control system of a quadruped locomotion robot by using nonlinear oscillators. It is composed of a leg motion controller and a gait pattern controller. The leg motion controller drives the actuators of the legs by using local feedback control. The gait pattern controller involves nonlinear oscillators with mutual interactions. In this paper, capability of adaptation ...

Phase models are a powerful method to quantify the coupled dynamics of nonlinear oscillators from measured data. We use two phase modeling methods to quantify the dynamics of pairs of coupled electrochemical oscillators, based on the phases of the two oscillators independently and the phase difference, respectively. We discuss the benefits of the two-dimensional approach relative to the one-dim...

Amplitude death (AD) and oscillation death (OD) are two structurally different oscillation quenching types in coupled nonlinear oscillators. The transition from AD to OD has been recently realized due to the interplay between heterogeneity and coupling strength [A. Koseska et al., Phys. Rev. Lett. 111, 024103 (2013)]. We identify here the transition from AD to OD in nonlinear oscillators with c...

This study investigates the wavelet-based system identification capabilities on determining nonlinearity based impulse response function. Wavelet estimates of instantaneous envelopes and frequency are used to plot backbone curve. wavelet estimate is then values parameter for system. Two weakly nonlinear oscillators, which Duffing Van der Pol have been analyzed using this approach. A case a mode...