The effect of complex dynamics of solitons on the output noise of the system (thermal jitter) is studied in the frame of the driven underdamped Frenkel-Kontorova model. In contrast to the continuous case, we have observed a dramatic splash of the jitter. It is demonstrated that this jitter increase is related to the joining of an initial soliton with the one generated by large amplitude oscillations of the Cherenkov radiation tail, which results in the establishment of a unified soliton structure. In recent years the problem of energy dissipated by digital circuits became of importance for further progress in digital technology. The currently demonstrated specific energy dissipation per elementary operation is of the order of 10 6 kT , where k is the Boltzmann constant and T is the temperature. However, the thermodynamic threshold per logic operation, known as the Landauer limit, is equal to kT ln 2 [1,2]. To achieve this limit it is necessary to minimize the losses during information processing. A possible approach here is the use of low loss motion of solitary waves for data bit transfer and reversible computation schematics for logic operations.A broad variety of applications in physics, chemistry, and biology (see [3,4]) is described by the discrete FrenkelKontorova (FK) model or its continuous analog-the sineGordon (SG) equation. A couple of examples of modern devices used for information processing described by the FK model are as follows. In magnetic domain wall racetrack memory [5], the magnetic domains in nanowires representing data bits can be considered as solitons in the FK model. This device combines the low cost of hard disk drives and the high performance and reliability of solid-state memory. Another example is superconducting electronic devices based on Josephson junctions. Recently it has been experimentally demonstrated that reversible superconductor digital circuits based on underdamped Josephson junctions can operate with extremely low energy dissipation about or even below the Landauer limit [6][7][8][9]. Soliton solutions of the FK model correspond to magnetic flux quanta that represent data bits in the circuits. In addition, a number of devices on the basis of superconducting circuits for field and current sensors [10,11] and readout systems for applications in optical communications, quantum cryptography, quantum-optical studies, and radio astronomy [12][13][14][15][16] have been proposed and tested.Digital technology requires the synchronization of events that correspond to operations with data bits. Since physical