We study phase synchronization effects of chaotic oscillators with a type-I intermittency behavior. The external and mutual locking of the average length of the laminar stage for coupled discrete and continuous in time systems is shown and the mechanism of this synchronization is explained. We demonstrate that this phenomenon can be described by using results of the parametric resonance theory and that this correspondence enables one to predict and derive all zones of synchronization.
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http://dx.doi.org/10.1103/PhysRevLett.92.134101 | DOI Listing |
Chaos
January 2025
Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran.
We examine the impact of the time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and numerical exploration shows that time delay can cause multi-stability within phase-locked solutions, and the stability of these solutions decreases as the inertia increases. In addition to phase-locked solutions, we discovered non-phase-locked solutions that exhibit periodic and chaotic behaviors, depending on the amount of inertia and time delay.
View Article and Find Full Text PDFBackground: Altered network synchronization and rhythmic neural activity is observed in Alzheimer's disease (AD). Spontaneous epileptiform activity and/or seizures occur in an estimated 60% of AD cases, and having AD increases the likelihood of seizures when compared with people without dementia. Thus, network hyperexcitability can be an early feature and helpful for diagnosis and treatment.
View Article and Find Full Text PDFAlzheimers Dement
December 2024
Neurosciences Graduate Program, University of California, San Diego, La Jolla, CA, USA.
Background: Several studies link circadian rhythm disturbances to Alzheimer's disease. However, little is known about circadian rhythm involvement with Alzheimer's pathology in early stages of the disease. The current study investigates the relationship between circadian rhythms, Aβ and tau PET, and short-term memory, and explores how circadian rhythms vary between age, sex, and APOE4 status.
View Article and Find Full Text PDFAlzheimers Dement
December 2024
University of Pennsylvania, Philadelphia, PA, USA.
Background: Persons living with dementia (PLwD) are hospitalized at greater rates than adults without dementia and experience more adverse outcomes. The use of dementia friendly practices is increasingly common, but definitions for the concept vary. This study describes the fieldwork phase of a hybrid approach to concept development.
View Article and Find Full Text PDFR Soc Open Sci
January 2025
School of Mathematics & Statistics, University of Sydney, Sydney, New South Wales 2006, Australia.
Lymphatic system failures contribute to cardiovascular and various other diseases. A critical function of the lymphatic vascular system is the active pumping of fluid from the interstitium back into the blood circulation by periodic contractions of lymphatic muscle cells (LMCs) in the vessel walls. As in cardiac pacemaking, these periodic contractions can be interpreted as occurring due to linked pacemaker oscillations in the LMC membrane potential (M-clock) and calcium concentration (C-clock).
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