We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the potential but with a phase difference. We observe that...

We show the existence of phase synchronization in bi-directionally coupled deterministic chaotic ratchets. The coupled ratchets were simulated in their chaotic states. A transition from a regime where the phases rotate with different velocities to a synchronous state where the phase difference...

We present the effect of current reversals in inertial chaotic ratchets, without changing a control parameter. This novel situation can occur when we have multiple coexisting attractors in phase space that transport particles in opposite directions. We analyze this effect for the case of two...