Category Ranking
98%
Total Visits
921
Avg Visit Duration
2 minutes
Citations
20
Article Abstract
This letter restudies the Nosé-Hoover oscillator. Some new averagely conservative regions are found, each of which is filled with different sequences of nested tori with various knot types. Especially, the dynamical behaviors near the border of "chaotic region" and conservative regions are studied showing that there exist more complicated and thinner invariant tori around the boundaries of conservative regions bounded by tori. Our results suggest an infinite number of island chains in a "chaotic sea" for the Nosé-Hoover oscillator.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/1.4937167 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Lateralised modulation of posterior alpha oscillations by closed loop auditory stimulation during memory retention.
Cereb Cortex
August 2025
School of Psychology, University of Surrey, Stag Hill, Guildford, Surrey, GU2 7XH, United Kingdom.
Alpha oscillations have been implicated in the maintenance of working memory representations. Notably, when memorised content is spatially lateralised, the power of posterior alpha activity exhibits corresponding lateralisation during the retention interval, consistent with the retinotopic organisation of the visual cortex. Beyond power, alpha frequency has also been linked to memory performan ce, with faster alpha rhythms associated with enhanced retention.
View Article and Find Full Text PDFNeural alpha oscillations and auditory steady-state responses during adaptation to a cochlear implant.
Cereb Cortex
August 2025
Department of Psychology, University of Lübeck, Ratzeburger Allee 160, Lübeck 23562, Germany.
The human auditory system must distinguish relevant sounds from noise. Severe hearing loss can be treated with cochlear implants (CIs), but how the brain adapts to electrical hearing remains unclear. This study examined adaptation to unilateral CI use in the first and seventh months after CI activation using speech comprehension measures and electroencephalography recordings, both during passive listening and an active spatial listening task.
View Article and Find Full Text PDFThe role of inhibitory neuronal variability in modulating phase diversity between coupled networks.
Chaos
September 2025
Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil.
Neuronal heterogeneity, characterized by a multitude of spiking neuronal patterns, is a widespread phenomenon throughout the nervous system. In particular, the brain exhibits strong variability among inhibitory neurons. Despite the huge neuronal heterogeneity across brain regions, which in principle could decrease synchronization due to differences in intrinsic neuronal properties, cortical areas coherently oscillate during various cognitive tasks.
View Article and Find Full Text PDFNeural dynamics of proactive and reactive cognitive control in medial and lateral prefrontal cortex.
iScience
September 2025
Department of Neurosurgery, University of Alabama at Birmingham, Birmingham, AL, USA.
Goal-directed behavior requires adjusting cognitive control, both in preparation for and in reaction to conflict. Theta oscillations and population activity in dorsomedial prefrontal cortex (dmPFC) and dorsolateral PFC (dlPFC) are known to support reactive control. Here, we investigated their role in proactive control using human intracranial electroencephalogram (EEG) recordings during a Stroop task that manipulated conflict expectations.
View Article and Find Full Text PDFEffects of Transcranial Direct Current Stimulation on Excitatory/Inhibitory Balance and Behavior in Children With Autism-A Randomized Controlled Study.
Alpha Psychiatry
August 2025
State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, 100875 Beijing, China.
Background: Autism spectrum disorder (ASD) is a multifaceted neurodevelopmental disorder marked by impaired interactions and restricted interests, the pathophysiology of which is not fully understood. The current study explored the potential therapeutic effects of transcranial direct current stimulation (tDCS) on the neurophysiological aspects of ASD, specifically focusing on the brain's excitatory/inhibitory (E/I) balance and behavioral outcomes, providing scientific guidance for ASD intervention.
Methods: Forty-two children with ASD were randomly divided into either an active tDCS or sham tDCS group.