| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1866826 | Physics Letters A | 2015 | 6 Pages |
•A partial and complete piecewise linearized version of the Lorenz system are addressed.•The linearized versions have an independent total amplitude control parameter.•A piecewise linear version of the diffusionless Lorenz system is derived by further linearization.•A corresponding chaotic circuit without any multiplier is implemented for the chaotic oscillation.
A partial and complete piecewise linearized version of the Lorenz system is proposed. The linearized versions have an independent total amplitude control parameter. Additional further linearization leads naturally to a piecewise linear version of the diffusionless Lorenz system. A chaotic circuit with a single amplitude controller is then implemented using a new switch element, producing a chaotic oscillation that agrees with the numerical calculation for the piecewise linear diffusionless Lorenz system.
