Chaotic Trajectory Design for Monitoring an Arbitrary Number of Specified Locations Using Points of Interest

Abstract

The design of unpredictable trajectories for autonomous patrol robots when accomplishing surveillance missions represents, in many situations, a key desideratum. Solutions to this problem had often been associated with chaotic dynamics. While for area surveillance missions, relevant techniques to produce chaotic motion had been reported, in the case of monitoring a number of precise locations no viable solutions had been proposed. The present paper covers this research gap by offering a complex methodology that involves a mixture of two types of chaotic trajectory segments, based on Lorenz and Chen systems, in obtaining unpredictable trajectories when an arbitrary number of specified locations have to be monitored. The developed path-planning strategy produces trajectories that can cope efficiently with dynamical degradation of chaos or with obstacle avoidance issues.

A New Image Encryption Algorithm Based on Chaos and Secure Hash SHA-256

“…The size of the key space depends not only on the number of keys, but also on the number of possible values for each key. The problem of numerical chaotic systems is that the finite precision of the machines (e.g., computers) leads to performance degradation [31][32][33][34], such as: the key space is reduced, some weak keys appear, and the randomness of the sequence is reduced. In order to identify and avoid weak keys, we need to calculate the Lyapunov exponents of chaotic systems, or plot the phase space trajectories of the system.…”

Cryptanalysis and Improvement on an Image Encryption Algorithm Design Using a Novel Chaos Based S-Box

“…A general problem concerning the use of chaotic systems in encryption is given by References [25][26][27][28] when chaotic systems are implemented on finite precision machines (e.g., computers). The impact of this problem on the proposed encryption scheme is mainly to narrow for the key space.…”

Improved Cryptanalysis and Enhancements of an Image Encryption Scheme Using Combined 1D Chaotic Maps

“…The size of the key space depends not only on the number of keys but also on the number of possible values for each key. The problem of numerical chaotic systems is that the finite precision of the machines (e.g., computers) leads to performance degradation [63][64][65][66], such as the key space is reduced, some weak keys appear, and the randomness of the sequence is reduced. In order to identify and avoid weak keys, we need to calculate the Lyaponuv exponents of chaotic systems or plot the phase space trajectories of the system.…”