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Dynamics, Volume 6, Issue 1

2026 March - 9 articles

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Articles (9)

  • Article
  • Open Access
45 Views
31 Pages

The growing need to safeguard sensitive data in various fields, including in relation to education, banking over the phone, private voice conferences, and the military, has grown as dependence on technology in daily life has increased. Encryption sch...

  • Article
  • Open Access
98 Views
24 Pages

Stability Analysis and Chaos Control of Permanent-Magnet Synchronous Motor

  • Ahmed Sadeq Hunaish,
  • Fatma Noori Ayoob,
  • Fadhil Rahma Tahir and
  • Viet-Thanh Pham

This paper investigates the dynamics of a permanent magnet synchronous motor (PMSM) and controls its chaotic speed behavior using the synergetic control technique (SCT). The model includes electrical dynamics in the dq frame and mechanical speed dyna...

  • Article
  • Open Access
199 Views
10 Pages

Analytical Representation and Applications of Solutions to a Loaded Fractional Integro-Differential Equation

  • Umida Baltaeva,
  • Bobur Khasanov,
  • Hamrobek Hayitbayev,
  • Jamol I. Baltaev and
  • Yolqin Alikulov

14 February 2026

We study the Cauchy problem for a loaded fractional integro-differential equation with a time-dependent diffusion coefficient. By reducing the problem to an equivalent Volterra integral equation of the second kind, we derive explicit analytical repre...

  • Article
  • Open Access
309 Views
25 Pages

1 February 2026

This article proposes a method for forming invariant stochastic differential systems, namely dynamic systems with trajectories belonging to a given smooth manifold. The Itô or Stratonovich stochastic differential equations with the Wiener compo...

  • Article
  • Open Access
210 Views
11 Pages

14 January 2026

The dynamic behaviour of a column excited at the base, e.g., under an earthquake load, has been extensively studied. However, the column may also experience impact at the tip like a heavy-duty truck braking on a bridge. The caused base shear of the p...

  • Article
  • Open Access
506 Views
28 Pages

Trust as a Stochastic Phase on Hierarchical Networks: Social Learning, Degenerate Diffusion, and Noise-Induced Bistability

  • Dimitri Volchenkov,
  • Nuwanthika Karunathilaka,
  • Vichithra Amunugama Walawwe and
  • Fahad Mostafa

Empirical debates about a “crisis of trust” highlight long-lived pockets of high trust and deep distrust in institutions, as well as abrupt, shock-induced shifts between the two. We propose a probabilistic model in which such phenomena em...

  • Article
  • Open Access
623 Views
21 Pages

An Effective Multi-Revolution Lambert Solver Based on Elementary Calculus

  • Mauro Pontani,
  • Giulio De Angelis and
  • Edoardo Maria Leonardi

Multi-revolution Lambert solvers are intended to find the elliptic transfer orbits that are traveled multiple times and connect two specified positions in prescribed time, under the assumption of considering natural (Keplerian) orbital motion in the...

  • Article
  • Open Access
427 Views
17 Pages

Numerical Simulation of Flow Maldistribution at Pipeline Junctions in Water Distribution Networks

  • Athanasios V. Serafeim,
  • Nikolaos Th. Fourniotis,
  • Demetris Stergiopoulos and
  • Andreas Langousis

The uneven distribution of flow in water distribution networks (WDNs) can cause inefficient flows and pressure imbalances as well as degraded water quality in areas where demand is higher than the networks’ design limit. In this study, two faul...

  • Article
  • Open Access
429 Views
26 Pages

Analog Circuit Simplification of a Chaotic Hopfield Neural Network Based on the Shil’nikov’s Theorem

  • Diego S. de la Vega,
  • Lizbeth Vargas-Cabrera,
  • Olga G. Félix-Beltrán and
  • Jesus M. Munoz-Pacheco

Circuit implementation is a widely accepted method for validating theoretical insights observed in chaotic systems. It also serves as a basis for numerous chaos-based engineering applications, including data encryption, random number generation, secu...

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Dynamics - ISSN 2673-8716