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Bit-Reversible Version of Milne’s Fourth-Order Time-Reversible Integrator for Molecular Dynamics

Hoover W. G., Hoover C. G.

Computational Methods in Science and Technology

2017

Vol. 23, No. 4

299--303

We point out that two of Milne’s fourth-order integrators are well-suited to bit-reversible simulations. The fourth-order method improves on the accuracy of Levesque and Verlet’s algorithm and simplifies the definition of the velocity v and energy e = (q2 + v2)=2. (We use this one-dimensional oscillator problem as an illustration throughout this paper). Milne’s integrator is particularly useful for the analysis of Lyapunov (exponential) instability in dynamical systems, including manybody molecular dynamics. We include the details necessary to the implementation of Milne’s Algorithms.

On improved image encryption scheme based on chaotic map lattices

Jastrzębski K., Kotulski Z.

Engineering Transactions

2009

Vol. 57, iss. 2

89-104

In this paper we examine one of the recently proposed chaotic image encryption algorithms, based on chaotic map lattices (CML). We show certain problems with the chaotic map, as well as errors in the designed algorithm. Then we propose a way to improve it and present a new version of algorithm and its implementation. At the end, we show the results of a security analysis and a comparison of both schemes. These results were obtained in the MSc Thesis.