arXiv subjects

Dhrubajyoti Biswas

Publications and source records attributed to Dhrubajyoti Biswas.

6 recordsLinked to original sources

arXiv2026

Synchronization transitions in ensembles of active particles with distance-dependent higher-order interactions

Higher-order interactions are ubiquitous in biological systems and can be used to better describe the ensemble dynamics of self-propelled particles. To this end, this article investigates a Vicsek-Kuramoto model with distance-dependent higher-order interactions and obtains analytical results, albeit under certain assumptions, that characterize its collective dynamics. Subsequently, these are validated through simulations of the system equations, demonstrating both continuous and explosive transitions between the asynchronous and synchronous collective states. Further numerical results also reveal that short-range interactions and tightly clustered initial states can lead to deviations from the theoretical predictions, whereas the latter can be offset by increasing the common self-propulsion velocity. These results offer insights into a broad class of active matter systems with higher-order interactions, and provide a framework for designing and utilizing them for specific applications.

nlin.PS↗

arXiv2026

On the role of higher-order interactions towards first synchronization time

This study investigates transient collective dynamics, with a focus on how higher-order interactions impact the time required to reach steady-state synchronization. Assuming a large ensemble of deterministic and globally coupled Kuramoto oscillators with Cauchy-distributed natural frequencies, an expression for the first synchronization time is derived using the Ott-Antonsen ansatz. Subsequent numerics reveal that (i) increasing the coupling strengths for a fixed interaction order accelerates the transition to synchronization and (ii) increasing the interaction order for fixed interaction strength produces non-monotonic behavior. In particular, the inclusion of triadic interactions generally accelerates synchronization, whereas further higher-order interactions progressively delay convergence to the steady state, in some regimes even falling below the pairwise level. Ultimately, for very large interaction orders, the dynamics revert to pairwise-like behavior. Simulations of the system equations for different parameter combinations support these observations, while the asymptotic case is interpreted through the nonlinear structure of the order-parameter dynamics.

nlin.AO↗

arXiv2025

Emergent synchrony in oscillator networks with adaptive arbitrary-order interactions

Dynamics of complex systems are often driven by interactions that extend beyond pairwise links, underscoring the need to establish a correspondence between interpretable system parameters and emergent phenomena in hypergraph-based networks. The current work formulates an adaptive Kuramoto model that incorporates hyperedges of arbitrary order and explores their effects on synchronization. By deriving the exact order parameter dynamics in the thermodynamic limit, analytical expressions governing the collective dynamics are obtained. Subsequent numerics confirm the analytical predictions, in addition to capturing qualitatively different dynamical regimes and phase transitions. Further investigations based on order parameter distributions demonstrate how fluctuations, arising due to finite system size, can influence the long-term system dynamics. These results provide important insights and can have diverse applications, such as designing optimal surgical procedures for drug-resistant epilepsy and identifying the sources of rumours in a social network.

nlin.AO↗

arXiv2025

Controlling the effect of quantum fluctuations in a driven nonlinear parametric oscillator

This study investigates the interplay between a high-frequency external forcing and the intrinsic dynamics of a quantum nonlinear parametric oscillator. To analyze this system, classical equations of motion of the averages of quantum operators are derived and solved by employing suitable truncation schemes and the Blekhman perturbation method. It is observed that quantum fluctuations and oscillation amplitudes within the parametric resonance zone can be modulated through the fast external periodic forcing. Moreover, the influence of the strength of driving on the overall system dynamics is systematically explored. Finally, the theoretical predictions are validated through numerical simulations, establishing the reliability of the developed framework.

nlin.CD↗

arXiv2019

A Study of the Dynamics of a new Piecewise Smooth Map

In this article, we have studied a 1D map, which is formed by combining the two well-known maps i.e. the tent and the logistic maps in the unit interval i.e. [0, 1]. The proposed map can behave as the piecewise smooth or non-smooth maps (depending on the behaviour of the map just before and after the border) and then the dynamics of the map has been studied using analytical tools and numerical simulations. Characterization has been done by primarily studying the Lyapunov spectra and the corresponding bifurcation diagrams. Some peculiar dynamics of this map have been shown numerically. Finally, a Simulink implementation of the proposed map has been demonstrated.

nlin.CD↗

arXiv2018

Characterizing the Effects of Randomness in the Tent Map

When the parameter of a map is chosen, at each iteration step, following a certain rule, is called Parametric Perturbation. If the parameters are drawn from a distribution, then this perturbation is called Random Parametric Perturbation. Studies have already been done on both Periodic and Random perturbations of a continuous map. Here, we have applied this technique on a tent map, which is a piecewise continuous map, and obtained numerical results.

nlin.CD↗