arXiv subjects

Jayesh C. Jain

Publications and source records attributed to Jayesh C. Jain.

3 recordsLinked to original sources

arXiv2026

Multiple hysteresis widths in inertial Kuramoto model

Multistability is a well-known feature of the inertial Kuramoto system (KMI). Here, we demonstrate that an interplay of phase lag and triadic interactions in KMI leads to distinct hysteresis widths corresponding to different stable states. This phenomenon becomes more pronounced with increasing inertia. Theoretical calculations for the backward branch based on self-consistent analysis show that these multiple widths arise from saddle-node bifurcation occurring at different coupling strengths. Moreover, the forward branch corresponds to oscillatory state and does not admit steady-state solution. The study of multiple hysteresis widths may be useful in modeling power grid systems, information storage, and memory selection in real-word systems.

nlin.AO↗

arXiv2025

Low dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions

Watanabe-Strogatz theory provides a low-dimensional description of identical Kuramoto oscillators via the framework of the Möbius transformation. Here, using the Watanabe-Strogatz theory, we provide a unifying description for a broad class of identical Kuramoto oscillator models with pairwise and higher-order interactions and their corresponding higher harmonics. We show that the dynamics of the Watanabe-Strogatz parameters are the same as those of the mean-field parameters. Additionally, the poles of the Möbius transformation serve as basin boundaries for both global and cluster synchronization in the models discussed here. We present numerical simulations that illustrate how the basins boundaries evolve for these extended models.

nlin.AO↗

arXiv2022

Production of Primordial Black Holes via Single Field Inflation and Observational Constraints

In a class of single field models of inflation, the idea of Primordial Black holes(PBHs) production is studied. In this case, the dynamics on small cosmological scales differs significantly from that of the large scales probed by the observations of cosmic microwave background(CMB). This difference becomes a virtue in producing correct physical ambiance for the seeds required to produce PBHs. Thus, once the perturbed scales renter the horizon of our Universe during the later epochs of radiation domination and subsequent matter domination, these seeds collapses to produce PBHs. We have shown, in this class of model, depending on the model parameters and the class defining set parameters, one can have PBHs formed for a vast mass ranges from $10^{-18}$ to $10^{-6}$ solar mass($\textup{M}_\odot$). We have also shown, for a particular class of model, the total dark matter density today can be attributed to the PBHs density. The vast range of the mass depending on the class parameter, gives ample opportunity to study enriched phenomenological implications associated with this model to probe the nascent Universe dynamics.

astro-ph.CO↗