6 research outputs found
Pinning in a system of swarmalators
We study a population of swarmalators (a type of mobile oscillator) which run
on a ring and are subject to random pinning. The pinning represents the
tendency of particles to stick to defects in the underlying medium which
competes with the tendency to sync / swarm. The result is rich collective
behavior. A highlight is low dimensional chaos which in systems of ordinary,
Kuramoto-type oscillators is uncommon. Some of the states (the phase wave and
split phase wave) resemble those seen in systems of Janus matchsticks or
Japanese tree frogs. The others (such as the sync and unsteady states) may be
observable in systems of vinegar eels, electrorotated Quincke rollers, or other
swarmalators moving in disordered environments.Comment: 10 pages, 10 figure
Anti-phase synchronization in a population of swarmalators
Swarmalators are oscillatory systems endowed with a spatial component, whose
spatial and phase dynamics affect each other. Such systems can demonstrate
fascinating collective dynamics resembling many real-world processes. Through
this work, we study a population of swarmalators where they are divided into
different communities. The strengths of spatial attraction, repulsion as well
as phase interaction differ from one group to another. Also, they vary from
inter-community to intra-community. We encounter, as a result of variation in
the phase coupling strength, different routes to achieve the static
synchronization state by choosing several parameter combinations. We observe
that when the inter-community phase coupling strength is sufficiently large,
swarmalators settle in the static synchronization state. On the other hand,
with a significant small phase coupling strength the state of anti-phase
synchronization as well as chimera-like coexistence of sync and async are
realized. Apart from rigorous numerical results, we have been successful to
provide semi-analytical treatment for the existence and stability of global
static sync and the anti-phase sync states.Comment: Accepted for publication in Physical Review E (2023
Dynamics of swarmalators: A pedagogical review
Swarmalators have emerged as a new paradigm for dynamical collective behavior of multi-agent systems due to the interplay of synchronization and swarming that they inherently incorporate. Their dynamics have been explored with different coupling topologies, interaction functions, external forcing, noise, competitive interactions, and from other important viewpoints. Here we take a systematic approach and review the collective dynamics of swarmalators analytically and/or numerically. Long-term states of position aggregation and phase synchronization are revealed in this perspective with some future problems
Collective dynamics of swarmalators with higher-order interactions
Abstract Higher-order interactions shape collective dynamics, but how they affect transitions between different states in swarmalator systems is yet to be determined. To that effect, we here study an analytically tractable swarmalator model that incorporates both pairwise and higher-order interactions, resulting in four distinct collective states: async, phase wave, mixed, and sync states. We show that even a minute fraction of higher-order interactions induces abrupt transitions from the async state to the phase wave and the sync state. We also show that higher-order interactions facilitate an abrupt transition from the phase wave to the sync state bypassing the intermediate mixed state. Moreover, elevated levels of higher-order interactions can sustain the presence of phase wave and sync state, even when pairwise interactions lean towards repulsion. The insights gained from these findings unveil self-organizing processes that hold the potential to explain sudden transitions between various collective states in numerous real-world systems
Time delays shape the eco-evolutionary dynamics of cooperation
We study the intricate interplay between ecological and evolutionary processes through the lens of the prisoner’s dilemma game. But while previous studies on cooperation amongst selfish individuals often assume instantaneous interactions, we take into consideration delays to investigate how these might affect the causes underlying prosocial behavior. Through analytical calculations and numerical simulations, we demonstrate that delays can lead to oscillations, and by incorporating also the ecological variable of altruistic free space and the evolutionary strategy of punishment, we explore how these factors impact population and community dynamics. Depending on the parameter values and the initial fraction of each strategy, the studied eco-evolutionary model can mimic a cyclic dominance system and even exhibit chaotic behavior, thereby highlighting the importance of complex dynamics for the effective management and conservation of ecological communities. Our research thus contributes to the broader understanding of group decision-making and the emergence of moral behavior in multidimensional social systems