Exploring the Earth's Ionosphere with a Dynamical Systems Approach

A special issue of Atmosphere (ISSN 2073-4433). This special issue belongs to the section "Upper Atmosphere".

Deadline for manuscript submissions: 2 March 2026 | Viewed by 590

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Guest Editor
Institute for Complex Systems of the National Research Council CNR ISC, Via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy
Interests: ionospheric physics; space weather; ecological models; fundaments of dissipation
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Guest Editor
NASA Jet Propulsion Laboratory, California Institute of Technology, Machine Learning and Instrument Autonomy Group, Pasadena, CA, USA
Interests: heliophysics and space weather; systems and complexity science; data science; machine learning; risk and resilience; team science; sociology; science of science

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Department of Physical and Chemical Sciences, University of L'Aquila, L'Aquila, Italy
Interests: ionosphere dynamics; ionosphere-magnetosphere-thermosphere coupling; ionospheric irregularities; geomagnetic storm
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Modelling the Earth’s ionosphere as a whole, or regions of it, is a well-established branch of applied physics in which space physics and geophysics intersect. In this field, many lines of research co-exist; for example, empiric models co-exist with first principle models, and multi-instrument inversion techniques may aid in the assimilation of real data in theoretical modelling. Moreover, the growing use of machine learning and artificial intelligence techniques in this field offers unprecedented opportunities to exploit the large datasets associated with aeronomy and near-Earth space physics in order to create new empirical and hybrid models.

Despite the extensive application of machine learning in ionospheric modelling, it is crucial to maintain the theoretical modelling of the ionosphere, or of parts of it, as these models are dynamical systems that can benefit from recent developments in computer science but cannot avoid relying on the physical interpretation of each step they take.

This Special Issue of Atmosphere aims to collect research that represents the Earth’s ionosphere as a dynamical system that can be delineated using first principles, as deduced from a collection of empirical data and observations, or may be designed specifically for a particular phenomenon or set of phenomena.

The scope of this Special Issue includes, but is not limited to, the following topics:

  • chaos theory,
  • complex systems,
  • artificial intelligence, machine learning and neural networks,
  • stochastic dynamics,
  • big data assimilation,
  • first principle theory,
  • modeling.

Dr. Massimo Materassi
Dr. Ryan M. McGranaghan
Dr. Giulia D’Angelo
Guest Editors

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Keywords

  • ionosphere as a dynamical systems
  • machine learning
  • ionospheric turbulence
  • solar wind-ionosphere coupling
  • magnetosphere-ionosphere dynamics
  • near-earth current systems

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Published Papers (1 paper)

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Research

19 pages, 7766 KB  
Article
Effects of Ion Drag on Ionospheric Gravity Waves in the Presence of a Strong Constant Magnetic Field
by Victor Nijimbere, Martin Nadon and Lucy J. Campbell
Atmosphere 2025, 16(11), 1275; https://doi.org/10.3390/atmos16111275 - 10 Nov 2025
Viewed by 208
Abstract
A temporally periodic model is presented to describe the vertical profile of internal gravity waves in the F region of the Earth’s ionosphere where the waves are subject to a magnetic force due to the high concentration of ions. The configuration studied is [...] Read more.
A temporally periodic model is presented to describe the vertical profile of internal gravity waves in the F region of the Earth’s ionosphere where the waves are subject to a magnetic force due to the high concentration of ions. The configuration studied is representative of the situation where the geomagnetic field is approximately constant and is so strong that the angular gyrofrequency of the ions is very large compared with the ion-neutral collision frequency, which is in turn larger than the angular frequency of the gravity waves. We examine the situation where the gravity wave amplitude is small enough that the equations for the neutral fluid flow can be linearized. This allows for the description of wave propagation in terms of a system of coupled equations that include the effects of ion drag on waves for any orientation of the magnetic field. It is assumed that the background neutral fluid flow is nonzero and horizontal, but there is no vertical shear, and that the wave amplitude depends on altitude only, and an exact analytical solution is readily found. This dynamical model captures some essential features of ionospheric gravity waves that are consistent with observational measurements. In particular, the ion drag acts to damp the waves in the direction of vertical propagation and increase their vertical wavelength relative to the corresponding wavelength in the neutral atmosphere. The vertical damping rate and the vertical wavelength both depend on the dip angle of the magnetic field. When the magnetic field acts in the direction of the gravity lines of constant phase, there is no damping, and the vertical wavelength is the same as that of the corresponding waves in the neutral atmosphere. The dip angles that produce stronger damping also result in waves with greater wavelengths. Full article
(This article belongs to the Special Issue Exploring the Earth's Ionosphere with a Dynamical Systems Approach)
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