arXiv subjects

Wieslaw Marszalek

Publications and source records attributed to Wieslaw Marszalek.

4 recordsLinked to original sources

arXiv2026

On dynamic multi-agent pathfinding methods: review, simulations and modifications

This paper presents a systematic study of pathfinding algorithms in the context of Dynamic Multi-Agent Pathfinding (D-MAPF), a setting that combines dynamic obstacles, partial observability, and inter-agent conflicts. We evaluate six representative algorithms: Dijkstra, D* Lite, Space-Time A*, WHCA*, M*, and a novel method denoted as A** within a unified simulation framework. The proposed A** algorithm introduces a template-based approach that decouples offline geometric path generation from online temporal adaptation. By precomputing multiple diverse candidate paths and dynamically reconnecting to them using space-time planning, A** improves solution quality in environments with frequent changes and limited sensing

nlin.CD↗

arXiv2017

A new generator of chaotic bit sequences with mixed-mode inputs

This paper presents a new generator of chaotic bit sequences with mixed-mode (continuous and discrete) inputs. The generator has an improved level of chaotic properties in comparison with the existing single source (input) digital chaotic bit generators. The 0-1 test is used to show the improved chaotic behavior of our generator having a chaotic continuous input (Chua, Rössler or Lorenz system) intermingled with a discrete input (logistic, Tinkerbell or Henon map) with various parameters. The obtained sequences of chaotic bits show some features of random processes with increased entropy levels, even in the cases of small numbers of bit representations. The properties of the new generator and its binary sequences compare well with those obtained from a truly random binary reference quantum generator, as evidenced by the results of the $ent$ tests.

nlin.CD↗

arXiv2017

Memristive circuits and their Newtonian models $ϕ''=F(t,ϕ,ϕ')/m$ with memory

The prediction made by L. O. Chua 45+ years ago (see: IEEE Trans. Circuit Theory (1971) 18:507-519 and also: Proc. IEEE (2012) 100:1920-1927) about the existence of a passive circuit element (called memristor) that links the charge and flux variables has been confirmed by the HP lab group in its report (see: Nature (2008) 453:80-83) on a successful construction of such an element. This sparked an enormous interest in mem-elements, analysis of their unusual dynamical properties (i.e. pinched hysteresis loops, memory effects, etc.) and construction of their emulators. Such topics are also of interest in mechanical engineering where memdampers (or memory dampers) play the role equivalent to memristors in electronic circuits. In this paper we discuss certain properties of the oscillatory memristive circuits, including those with mixed-mode oscillations. Mathematical models of such circuits can be linked to the Newton's law $ϕ''\!-\!F(t,ϕ,ϕ')/m=0$, with $ϕ$ denoting the flux or charge variables, $m$ is a positive constant and the nonlinear non-autonomous function $F(t,ϕ,ϕ')$ contains memory terms. This leads further to scalar fourth-order ODEs called the jounce Newtonian equations. The jounce equations are used to construct the $RC$+op-amp simulation circuits in SPICE. Also, the linear parallel $G$-$C$ and series $R$-$L$ circuits with sinusoidal inputs are derived to match the $rms$ values of the memristive periodic circuits.

cs.ET↗

arXiv2015

Memristive fingerprints of electric arcs

We discuss the memristive fingerprints of the hybrid Cassie-Mayr model of electric arcs. In particular, it is shown that (i) the voltage-current characteristic of the model has the pinched hysteresis nature, (ii) the voltage and current zero crossings occur at the same instants, and, (iii) when the frequency $f$ of the power supply increases, the voltage-current pinched hysteresis characteristic tends closer to a single-valued one, meaning that the voltage-current graph becomes that of a resistor (with an increased linearity for $f\rightarrow \infty$). The conductance $g$ of the Cassie-Mayr model decreases when the frequency increases. The hybrid Cassie-Mayr model describes therefore an interesting case of a memristive phenomenon.

cs.ET↗