Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have
consisted of ODEs representing the evolution of the transmembrane voltage and the …

Applying a control system with low energy consumption and low load of motion control to
robots, similar to living organisms, is considered to be one of the most important issues in …

Living organisms can act autonomously because biological neural networks process the
environmental information in continuous time. Therefore, living organisms have inspired …

Transient oscillations in a ring of spiking neuron models unidirectionally coupled with slow
inhibitory synapses are studied. There are stable spatially fixed steady firing–resting states …

It is well known that locomotion rhythms of living organisms are generated by CPG (Central
Pattern Generator). In this chapter, we discuss the synchronization phenomena and …

Micro-robotic systems are increasingly used in medicine and other fields requiring precision
engineering. This paper proposes a piezoelectric impact-type rotary actuator and applies it …

Bursting is one of the most important activities in a single neuron, but it is not observed in
known discrete-time models, which have one-dimensional dynamics. In this Letter, we …

Alternating a quiescent state and a spiking one in a neuron is called bursting, which is one
of important neuron activities. In this Letter, we will propose a simple design method for a …

The Nagumo–Sato model is a simple mathematical expression of a single neuron, and it is
categorized as a discrete-time hybrid dynamical system. To compute bifurcation sets in such …

Transient rotating waves in a ring of sigmoidal neurons with asymmetric bidirectional
coupling and self-coupling were studied. When a pair of stable steady states and an …