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Mathematics, Volume 8, Issue 6

June 2020 - 186 articles

Cover Story: Mathematics (https://www.mdpi.com/journal/mathematics) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible.
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Articles (186)

  • Article
  • Open Access
16 Citations
4,833 Views
21 Pages

Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires

  • Raimund Bürger,
  • Elvis Gavilán,
  • Daniel Inzunza,
  • Pep Mulet and
  • Luis Miguel Villada

24 June 2020

Numerical techniques for approximate solution of a system of reaction-diffusion-convection partial differential equations modeling the evolution of temperature and fuel density in a wildfire are proposed. These schemes combine linearly implicit-expli...

  • Article
  • Open Access
3 Citations
2,671 Views
13 Pages

24 June 2020

Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations. We consi...

  • Article
  • Open Access
2 Citations
2,645 Views
17 Pages

Minirobots Moving at Different Partial Speeds

  • Constantin Udrişte and
  • Ionel Ţevy

24 June 2020

In this paper, we present the mathematical point of view of our research group regarding the multi-robot systems evolving in a multi-temporal way. We solve the minimum multi-time volume problem as optimal control problem for a group of planar micro-r...

  • Article
  • Open Access
2,524 Views
13 Pages

23 June 2020

The core as a solution to a cooperative game has the advantage that any imputation from it is undominated. In cooperative dynamic games, there is a known transformation that demonstrates another advantage of the core—time consistency—keep...

  • Article
  • Open Access
36 Citations
4,860 Views
29 Pages

23 June 2020

This paper presents the usage of the hybrid simulated annealing—evaporation rate water cycle algorithm (SA-ERWCA) for induction machine equivalent circuit parameter estimation. The proposed algorithm is applied to nameplate data, measured data...

  • Article
  • Open Access
1 Citations
2,094 Views
16 Pages

23 June 2020

The max-Łukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Łukasiewicz triangular norm. The behavior of such a system in time depends on the solvability of the correspond...

  • Article
  • Open Access
5 Citations
2,288 Views
28 Pages

23 June 2020

In this paper, based on the concept of complete-closed time scales attached with shift direction under non-translational shifts (or S-CCTS for short), as a first attempt, we develop the concepts of S-equipotentially almost automorphic sequences, disc...

  • Article
  • Open Access
3 Citations
2,271 Views
19 Pages

23 June 2020

In this paper, we study a representation of generalized Mehler semigroup in terms of Fourier–Gauss transforms on white noise functionals and then we have an explicit form of the infinitesimal generator of the generalized Mehler semigroup in ter...

  • Article
  • Open Access
8 Citations
3,931 Views
18 Pages

23 June 2020

To provide a feasible solution for a variable speed unmanned aerial vehicle (UAV) to home on a target with impact time and angle constraints, this paper presents a novel geometry-based guidance law composed of trajectory reshaping and tracking. A tra...

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Mathematics - ISSN 2227-7390