60 citations · 209 across the 9 of their papers we have counts for
9 papers
The Nature of the Action Potential
Vitaly L. Galinsky, Lawrence R. Frank
We demonstrate that our recently developed theory of electric field wave propagation in anisotropic and inhomogeneous brain tissues, which has been shown to explain a broad range o…
Neuronal avalanches and critical dynamics of brain waves
Vitaly L. Galinsky, Lawrence R. Frank
Analytical expressions for scaling of brain wave spectra derived from the general nonlinear wave Hamiltonian form show excellent agreement with experimental "neuronal avalanche" da…
Collective Synchronous Spiking in a Brain Network of Coupled Nonlinear Oscillators
Vitaly L. Galinsky, Lawrence R. Frank
A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both…
Emergence of localized persistent weakly-evanescent cortical brain wave loops
Vitaly L. Galinsky, Lawrence R. Frank
An inhomogeneous anisotropic physical model of the brain cortex is presented that predicts the emergence of non--evanescent (weakly damped) wave--like modes propagating in the thin…
Universal mechanism of low-frequency brain rhythm formation through nonlinear coupling of high-frequency spiking-like activity
Vitaly L. Galinsky, Lawrence R. Frank
A universal mechanism of emergence of synchronized low frequency brain wave field activity is presented as a result of nonlinear coupling with flat frequency neuronal forcing. The…
Symplectomorphic registration with phase space regularization by entropy spectrum pathways
Vitaly L. Galinsky, Lawrence R. Frank
The ability to register image data to a common coordinate system is a critical feature of virtually all imaging studies that require multiple subject analysis, combining single sub…
Weak Turbulence in the Magnetosphere: Formation of Whistler Wave Cavity by Nonlinear Scattering
C. Crabtree, L. Rudakov, G. Ganguli +3
We consider the weak turbulence of whistler waves in the in low-β inner magnetosphere of the Earth. Whistler waves with frequencies, originating in the ionosphere, propagate radial…
Dissipative Dynamics of Collisionless Nonlinear Alfven Wave Trains
M. V. Medvedev, P. H. Diamond, V. I. Shevchenko +1
The nonlinear dynamics of collisionless Alfven trains, including resonant particle effects is studied using the kinetic nonlinear Schroedinger (KNLS) equation model. Numerical solu…
Fluid Models for Kinetic Effects on Coherent Nonlinear Alfven Waves. II. Numerical Solutions
M. V. Medvedev, V. I. Shevchenko, P. H. Diamond +1
The influence of various kinetic effects (e.g. Landau damping, diffusive and collisional dissipation, and finite Larmor radius terms) on the nonlinear evolution of finite amplitude…