## Research interest is...

### Motor

[Experimental electrical vehicle]

Interesting sound.

[Experimental electrical bicycle]

We don’t press the pedal down with our foot to operating the electrical bicycle.

### Bifurcation in Nonlinear systems with discontinuous characteristics

#### [Classification]

case a: The system flow is continuous for each region, but non-smooth across the switching manifold.

case b: The system flow is discontinuous for each region, and non-smooth across the switching manifold.

a or b.1: The switch is controlled by periodic signal.

a or b.2: The switch is controlled by state variables.

a or b.3: The switch is controlled by a threshold of the state or a periodic interrupt.

Analyzing method of above systems(local and global bifurcations)

#### [Piecewise smooth systems]

Relationship between discreate map and continuous system.

#### [Border-collision bifurcation]

Analyzing method.

m-piece chaotic attractor.

#### [DC-DC converters / Magnetic nonlinear transient analysis]

Related Topics is organized by some researchers.

#### [A Rayleigh type oscillator with a state-dependent switch]

Period doubling bifurcation-1:
Cascade of the period doubling bifurcation.

Period doubling bifurcation-2:
Cascade of the period doubling bifurcation.

Tangent(Saddle-Node) bifurcation-1:
Period-1 -> Tangent bifurcation -> period-2.

Global bifurcation-1 called crisis:
Period-1 -> Global bifurcation -> period-6.

Various bifurcations:
30MB…

### Synchronization

#### [Electric FireFly]

Coupled EFFs-1:

In-phase synchronization -> A synchronous phenomena -> In-phase synchronization.

Coupled EFFs-2:

In-phase synchronization -> A synchronous phenomena -> In-phase synchronization.

#### [Pet bottle oscillator]

Single pet bottle osc.:

Oscillation.

Coupled pet bottle osc.:

Stable in-phase synchronization.

### [Controlling Chaos]

#### Non-autonomous systems

Nonlinear systems with discontinuous characteristics

#### Movies:

BVP osc. with periodic force-1:

chaos -> control ON -> 3-periodic orbit -> control OFF -> chaos.

BVP osc. with periodic force-2:

chaos -> control ON -> 3-periodic orbit.

Rayleigh-type oscillator with a state-dependent switch:

chaos -> control ON -> 1-periodic orbit.