In some practical applications of the mobile robot, it is expected to ensure the fullest coverage of a certain area with or without obstacle avoidance. This paper shows that both chaotic and non chaotic signals can be advantageous for providing good coverage performance. Our study includes, in addition to parameters adjusting and mapping the appropriate chaotic variables to robot's kinematic variables, a comparison of the coverage performance generated by three different behaviors of Chua’s circuit. These behaviors include an instable focus and two chaotic signals having single scroll and double scroll shaped phase portraits respectively. Contrary to a commonly held belief, a non-chaotic behavior can lead to generate complex trajectories of a mobile robot and to provide better coverage performance. Such behavior is an instable focus which is a repeller, obtained by using a particular parameter set of Chua’s circuit.