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Phase-locked states in oscillating neural networks and their role in neural communication
(2020-01-01)
Article
Open AccessThe theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication between two oscillating neural populations ... -
Three-dimensional Lotka–Volterra systems with 3:-1:2-resonance
(2021-08)
Article
Open AccessWe study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka–Volterra differential systems with (3:- 1:2)-resonance. We give necessary and sufficient conditions on the parameters of ... -
Global phase-amplitude description of oscillatory dynamics via the parameterization method
(Institute of Physics (IOP), 2020-08-01)
Article
Open AccessIn this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction. The parameterization method allows us, via efficient ... -
Analytical and numerical results on families of n-ejection-collision orbits in the RTBP
(2020-11-01)
Article
Restricted access - publisher's policyIn the planar RTBP with mass ratio µ we regularise the singularity at one of the primaries by means of Levi-Civita’s transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ... -
Change in gap perception within current practices in assessing students learning mathematics
(2021-04-17)
Article
Open AccessThe COVID pandemic has touched many aspects of everyone’s life. Education is one of the fields greatly affected by it, as students and teachers were forced to move online and quickly adapt to the online environment. ... -
Integrability and linearizability of a family of three-dimensional quadratic systems
(2021-01-01)
Article
Open AccessWe consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (1:-2:1) – resonance at the origin. ... -
Oscillatory orbits in the restricted planar four body problem
(2020-12-01)
Article
Restricted access - publisher's policyThe restricted planar four body problem describes the motion of a massless bodyunder the Newtonian gravitational force of other three bodies (the primaries), of which themotion gives us general solutions of the three body ... -
A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold
(2020)
Article
Restricted access - publisher's policyWe describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations ... -
Modeling the long term effects of thermoregulation on human sleep
(2020-05-21)
Article
Open AccessThe connection between human sleep and energy exertion has long been regarded as part of the reasoning for the need to sleep. A recent theory proposes that during REM sleep, energy utilized for thermoregulation is diverted ... -
Analysis of jet transport-based geostationary trajectory uncertainty propagation
(2020-03-31)
Article
Open Access -
A picture of solar-sail heteroclinic enhanced connections between Lissajous libration point orbits
(2020-03-09)
Article
Restricted access - publisher's policyThe dynamics of solar-sail maneuvers are conceptually different from classical control maneuvers where one considers impulsive changes in the velocity of a spacecraft. Solar-sail orbits are continuous in both position and ... -
Rotation–translation coupling analysis on perturbed spacecraft relative translational motion
(2020-10-17)
Article
Restricted access - publisher's policyThis paper explores an accurate and complete spacecraft six-degree-of-freedom coupled relative motion model using the dual quaternion representation. Based on this technique, we build a scheme capable of describing both ...
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