Hybrid dynamical systems, ie, systems that have both continuous and discrete states, are
ubiquitous in engineering but are difficult to work with due to their discontinuous transitions …

In stochastic resonance (SR), the presence of noise helps a nonlinear system amplify a
weak (sub-threshold) signal. Chaotic resonance (CR) is a phenomenon similar to SR but …

Chaotic resonance (CR), in which a system responds to a weak signal through the effects of
chaotic activities, is a known function of chaos in neural systems. The current belief suggests …

For the passive walking robot, the basin of attraction is very small and thin, and thus makes it
a great challenge to produce stable passive dynamic walking. This paper reports …

In this study, a comprehensive comparison about the hardware costs of the original and the
modified Izhikevich neuron models and their applications have been presented to the …

Circuit simulation is seen by some people as a well established discipline, where there
remains little or no space for improvement. Yet, no steady state and stability analysis …

We study a class of discontinuous vector fields brought to our attention by multilegged
animal locomotion. Such vector fields arise not only in biomechanics, but also in robotics …

Several hybrid neuron models, which combine continuous spike-generation mechanisms
and discontinuous resetting process after spiking, have been proposed as a simple …

This paper aims at providing a numerical calculation method of the spectrum of Lyapunov
exponents in a four-dimensional impulsive hybrid nonlinear dynamics of a passive compass …

Several hybrid spiking neuron models combining continuous spike generation mechanisms
and discontinuous resetting processes following spiking have been proposed. The …