Hidehiro Nakano

A simple hyperchaos generator based on impulsive switching

This paper studies a simple hyperchaos generator. The circuit consists of three capacitors, three voltage-controlled current sources, and one state-dependent impulsive switch. The circuit dynamics are described by a normal form equation and a two-dimensional noninvertible return map is derived. The return map is calculated precisely using the exact piecewise solution and hyperchaos generation is guaranteed by two positive Lyapunov exponents of the return map. Using a simple test circuit, a typical hyperchaotic attractor can be verified in the laboratory.

Basic dynamics from a pulse-coupled network of autonomous integrate-and-fire chaotic circuits

Studies basic dynamics of a pulse-coupled network (PCN). The unit element of the PCN is an autonomous integrate-and-fire chaotic circuit having two states. For a basic master-slave PCN, we give basic classification of chaos synchronous phenomena and their breakdown patterns. The existence region of each phenomenon is elucidated in a parameter subspace. We then construct a large scale ring-type PCN, and elucidate that the PCN exhibits interesting grouping phenomena of chaos synchronization patterns. Some typical phenomena can be verified in the laboratory.

Response of a simple dependent switched capacitor circuit to a pulse-train input

This paper studies a simple nonautonomous circuit consisting of an RLC resonator, a dependent switch and a periodic pulse-train input. The circuit can exhibit chaotic behavior if an equidistant pulse-train input is applied. The dynamics can be analyzed by a mapping procedure based on a one-dimensional (1-D) return map focusing on the moments when the input is applied. If the periodic pulse-train input is nonequidistant, the dynamics can be analyzed by a composite of different 1-D return maps corresponding to different pulse intervals. We show typical chaotic and periodic phenomena in this case. Using a simple test circuit, we can verify typical phenomena in the laboratory.

Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators

This paper studies basic dynamics in a pulse-coupled network (PCN) of chaotic spiking oscillators. The PCN exhibits grouping phenomena characterized by partial chaos synchronous phenomena. Calculating transient times to the synchronization, we investigate performance of the PCN.

Synchronization in a pulse-coupled network of chaotic spiking oscillators

This paper studies basic dynamics in a pulse-coupled network (PCN) of chaotic spiking oscillators. The PCN exhibits grouping phenomena characterized by partial chaos synchronous phenomena. Typical phenomena can be verified in the laboratory. Such partial synchronous phenomena are concerned deeply with the classification function. We also discuss the possibility of information processing applications using our PCN.

A hyperchaotic circuit family including a dependent switched capacitor

This paper studies simple hyperchaotic circuits consisting of one linear 3-port voltage-controlled current source (ab. VCCS), two linear capacitors and one dependent switched capacitor. The dynamics is described by a normal form equation and a return map can be derived. Using a mapping procedure, it is shown that the circuits exhibit interesting hyperchaotic attractors.

A simple nonautonomous chaotic circuit with a periodic pulse-train input

This paper presents a simple nonautonomous circuit with a periodic pulse-train input. If the input does not exist, the circuit exhibits either equilibrium attractor or hard oscillation. If a periodic pulse-train input is applied, the circuit exhibits interesting chaotic and periodic attractors. The circuit behavior can be analyzed by a mapping procedure based on a 1-D return map focusing on the moments when the input is applied. Using a simple test circuit, we can verify typical phenomena in the laboratory.

Chaotic Circuits Based on Dependent Switched Capacitors

This paper studies a simple chaotic circuit and a pulse‐coupled networks (ab. PCN). The oscillator consists of one linear resistor, one inductor, and one dependent switched capacitor (ab. DSC). If the resistor value is negative (respectively, positive), the circuit can exhibit chaotic attractors (respectively, periodic attractors). We give the parameters condition for generation of each phenomenon. We then construct a PCN of chaotic circuits. Using a simple equivalent circuit, it is confirmed that the PCN can exhibit grouping synchronous phenomena of chaos.

Master-slave synchronization of pulse-coupled chaotic spiking oscillators

Studies basic dynamics of a chaotic spiking oscillator and its master-slave type pulse-coupled system. The slaves can exhibit synchronous phenomena for the chaotic spike-trains of the masters not depending on the initial states. Using the mapping procedure, we analyze the synchronous phenomena. Constructing a simple test circuit, we verify typical phenomena in the laboratory.

Autonomous integrate-and-fire model with vibration

We propose an integrate-and-fire model with 2D integration and instantaneous firing. This system exhibits period doubling bifurcation to chaos, periodic windows, tangent bifurcation and so on. Connecting two pieces of the model by switching pulses, we construct a mutually coupled system. It exhibits chaos synchronization, periodic synchronization and related bifurcation. These phenomena are analyzed using a mapping procedure and verified in the laboratory.