This paper discusses a circuit family including a dependent switched capacitor (DSC). The DSC function is instantaneously short of one capacitor at the moment when its voltage reaches a threshold. The chaos generation can be guaranteed theoretically, We also consider a master-slave system. If there does not exist a homoclinic orbit in the master chaos attractor, it exhibits either in-phase or inverse-phase synchronization of chaos. If there exists a homoclinic orbit, the synchronization is broken down. We explain the synchronization mechanism and evaluate its robustness theoretically. The theoretical results have been verified in laboratory experiments.

This paper discusses a four-dimensional plus hysteresis autonomous chaotic circuit. The circuit dynamics is described by two symmetric four-dimensional linear equations connected to each other by hysteresis switchings. We transform the equation into Jordan form and derive theoretical formulas of its three-dimensional return map, its Jacobian matrix and its Jacobian. These formulas can be developed easily to general dimensional cases and are used to evaluate Lyapunov exponents. Then we have discovered torus doubling route to chaos and then to hyperchaos. Some of the return map attractors are confirmed by laboratory experiments. A rough two parameters bifurcation diagram is also given.

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Recently, great attention has been paid to the reinfbrcement leaming (RL) algoritlm in the fields of tho artificial intelligence and the machine leaming, as a teol to solve a class of the optimization problem. We try to construct the RL framework to find the shortest course of a ship in the fbllowing fundamental situations: (A) A ship goes en a restricted sea-area with the streng tidal current, such as the Kurushima strait. (B) Tkvo ships go on a sea-area with no tidal cunent while each of them avoids the collision "dth the other, e-leaming algorithm, which is representative of the RL algorithm, is combined with the ship's motion equatiens through the quantization of their variables. Finally, the eflectiveness of our framework is demonstrated with the model of the sea-area.