Mathematical frameworks for oscillatory network dynamics in neuroscience
The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …
neuroscience community, providing insight into a variety of network behaviours ranging from …
Consonance and dissonance perception. A critical review of the historical sources, multidisciplinary findings, and main hypotheses
Revealed more than two millennia ago by Pythagoras, consonance and dissonance (C/D)
are foundational concepts in music theory, perception, and aesthetics. The search for the …
are foundational concepts in music theory, perception, and aesthetics. The search for the …
Synchronization, desynchronization, and intermediate regime of breathing solitons and soliton molecules in a laser cavity
We report on the experimental and numerical observations of synchronization and
desynchronization of bound states of multiple breathing solitons (breathing soliton …
desynchronization of bound states of multiple breathing solitons (breathing soliton …
Subharmonic stochastic synchronization and resonance in neuronal systems
We study the response of a model neuron, driven simultaneously by noise and at least two
weak periodic signals. We focus on signals with frequencies components kf 0,(k+ 1) f 0,…(k+ …
weak periodic signals. We focus on signals with frequencies components kf 0,(k+ 1) f 0,…(k+ …
Characterization of degeneration process in combustion instability based on dynamical systems theory
H Gotoda, Y Okuno, K Hayashi, S Tachibana - Physical Review E, 2015 - APS
We present a detailed study on the characterization of the degeneration process in
combustion instability based on dynamical systems theory. We deal with combustion …
combustion instability based on dynamical systems theory. We deal with combustion …
[HTML][HTML] A SIR forced model with interplays with the external world and periodic internal contact interplays
A d'Onofrio, J Duarte, C Januário, N Martins - Physics Letters A, 2022 - Elsevier
We investigated the behavior of a Susceptible-Infected-Recovered seasonally forced model
for endemic childhood infectious diseases in the case where the target population is not …
for endemic childhood infectious diseases in the case where the target population is not …
[HTML][HTML] The validity of bootstrap testing for threshold autoregression
We consider bootstrap-based testing for threshold effects in non-linear threshold
autoregressive (TAR) models. It is well-known that classic tests based on asymptotic theory …
autoregressive (TAR) models. It is well-known that classic tests based on asymptotic theory …
Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons
PHE Tiesinga - Physical Review E, 2002 - APS
Neurons in the brain communicate via trains of all-or-none electric events known as spikes.
How the brain encodes information using spikes—the neural code—remains elusive. Here …
How the brain encodes information using spikes—the neural code—remains elusive. Here …
Nonlinear dynamics of the perceived pitch of complex sounds
Nonlinear Dynamics of the Perceived Pitch of Complex Sounds Page 1 VOLUME 82, NUMBER
26 PHYSICAL REVIEW LETTERS 28JUNE 1999 Nonlinear Dynamics of the Perceived Pitch of …
26 PHYSICAL REVIEW LETTERS 28JUNE 1999 Nonlinear Dynamics of the Perceived Pitch of …
Dynamical systems, celestial mechanics, and music: Pythagoras revisited
I am every day more and more convinced of the Truth of Pythagoras's Saying, that Nature is
sure to act consistently, and with a constant Analogy in all her Operations: From whence I …
sure to act consistently, and with a constant Analogy in all her Operations: From whence I …