In this work, we study the multistability and chaos phenomena in a classical two-mode van der Pol generator which consists of a nonlinear element and two linear oscillators. We show that the configuration of the connections of the linear oscillators in the two-mode self-oscillating system significantly affects its oscillation regimes and bifurcational transitions. In the case of the feedback loop including one oscillator, the two-mode system demonstrates the well-known effect of frequency entrainment, including bistability and hysteresis phenomena. If the feedback loop involves both linear oscillators, the entrainment effect disappears; however, two new complex regimes of quasi-periodicity and chaotic self-oscillations emerge. We present here the results of the bifurcation analysis of the multistability formation and transition to chaos.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/1.5002609 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
The effects of teleconnections on water and carbon fluxes in the two South America's largest biomes.
Sci Rep
January 2025
Vale Institute of Technology, Sustainable Development, Belém, Pará, Brazil.
Ecosystem services provided by terrestrial biomes, such as moisture recycling and carbon assimilation, are crucial components of the water, energy, and biogeochemical cycles. These biophysical processes are influenced by climate variability driven by distant ocean-atmosphere interactions, commonly referred to as teleconnections. This study aims to identify which teleconnections most significantly affect key biophysical processes in South America's two largest biomes: The Amazon and Cerrado.
View Article and Find Full Text PDFPublic Health.
Alzheimers Dement
December 2024
Barcelonaβeta Brain Research Center (BBRC), Pasqual Maragall Foundation, Barcelona, Spain.
Background: Poor sleep is associated with cognitive decline, and ∼45% of Alzheimer's disease (AD) patients experience sleep disturbances. Emerging evidence suggests that reduced non-rapid eye movement (NREM) slow wave sleep (SWS) is linked to amyloid accumulation and APOE ε4-related genetic vulnerability to AD. Here, we investigate the effects of amyloid and APOE status on SWS, and their interaction, in a cohort of cognitively unimpaired (CU) individuals at higher risk of AD.
View Article and Find Full Text PDFThe Investigation of the Relationship Between Individual Pain Perception, Brain Electrical Activity, and Facial Expression Based on Combined EEG and Facial EMG Analysis.
J Pain Res
January 2025
Department of Rehabilitation Medicine, First Affiliated Hospital of Xi'an Jiaotong University, Xi'an, People's Republic of China.
Purpose: Pain is a multidimensional, unpleasant emotional and sensory experience, and accurately assessing its intensity is crucial for effective management. However, individuals with cognitive impairments or language deficits may struggle to accurately report their pain. EEG provides insight into the neurological aspects of pain, while facial EMG captures the sensory and peripheral muscle responses.
View Article and Find Full Text PDFIndividualized temporal patterns drive human sleep spindle timing.
Proc Natl Acad Sci U S A
January 2025
Division of Sleep and Circadian Disorders, Brigham and Women's Hospital, Boston, MA 02115.
Sleep spindles are cortical electrical oscillations considered critical for memory consolidation and sleep stability. The timing and pattern of sleep spindles are likely to be important in driving synaptic plasticity during sleep as well as preventing disruption of sleep by sensory and internal stimuli. However, the relative importance of factors such as sleep depth, cortical up/down-state, and temporal clustering in governing sleep spindle dynamics remains poorly understood.
View Article and Find Full Text PDFA 6.7 μW Low-Noise, Compact PLL with an Input MEMS-Based Reference Oscillator Featuring a High-Resolution Dead/Blind Zone-Free PFD.
Sensors (Basel)
December 2024
Department of Electrical and Computer Engineering, McGill University, Montreal, QC H3A 0G4, Canada.
This article reports a 110.2 MHz ultra-low-power phase-locked loop (PLL) for MEMS timing/frequency reference oscillator applications. It utilizes a 6.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!