Antiphase Synchronization of Two Nonidentical Pendulums

Yi, Il Gu; Lee, Hyun Keun; Jun, Sung Hyun; Kim, Beom Jun

doi:10.1142/s0218127410027003

Cited by 13 publications

(5 citation statements)

References 22 publications

(49 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among such collective behaviors, synchronization has had dominant importance since this emergent phenomenon [3] includes a variety of subcategories, each of which is responsible for a biological process, disease, or function [4][5][6]. Complete synchronization [7], generalized synchronization [8,9], phase or anti-phase synchronization [10,11], lag synchronization [12], cluster synchronization [13], and chimera [14,15] are well-known subcategories that have been examined analytically and/or numerically in the literature.…”

Section: Introductionmentioning

confidence: 99%

The Impact of Higher-Order Interactions on the Synchronization of Hindmarsh–Rose Neuron Maps under Different Coupling Functions

et al. 2023

View full text Add to dashboard Cite

In network analysis, links depict the connections between each pair of network nodes. However, such pairwise connections fail to consider the interactions among more agents, which may be indirectly connected. Such non-pairwise or higher-order connections can be signified by involving simplicial complexes. The higher-order connections become even more noteworthy when it comes to neuronal network synchronization, an emerging phenomenon responsible for the many biological processes in real-world phenomena. However, involving higher-order interactions may considerably increase the computational costs. To confound this issue, map-based models are more suitable since they are faster, simpler, more flexible, and computationally more optimal. Therefore, this paper addresses the impact of pairwise and non-pairwise neuronal interactions on the synchronization state of 10 coupled memristive Hindmarsh–Rose neuron maps. To this aim, electrical, inner linking, and chemical synaptic functions are considered as two- and three-body interactions in three homogeneous and two heterogeneous cases. The results show that through chemical pairwise and non-pairwise synapses, the neurons achieve synchrony with the weakest coupling strengths.

show abstract

Section: Introductionmentioning

confidence: 99%

The Impact of Higher-Order Interactions on the Synchronization of Hindmarsh–Rose Neuron Maps under Different Coupling Functions

et al. 2023

View full text Add to dashboard Cite

show abstract

“…In 1657, Christian Huygens first observed synchronization of two identical clocks hanging from a common wood beam, and ascribed this phenomenon to the slight motion of the beam [1]. Since then, coupled pendulums have aroused great interest from multi-disciplinary fields (see, e.g., [1][2][3][4][5][6][7]). For these studies, many methods of coupling have been designed, such as a beam with pulleys [8,9] and connecting adjacent pendulums with a torsional spring [10].…”

Section: Introductionmentioning

confidence: 99%

A laboratory experiment on coupled non-identical pendulums

Li¹,

Zeng²,

Yang³

et al. 2011

Eur. J. Phys.

View full text Add to dashboard Cite

In this paper, coupled pendulums with different lengths are studied. Through steel magnets, each pendulum is coupled with others, and a stepping motor is used to drive the whole system. To record the data automatically, we designed a data acquisition system with a CCD camera connected to a computer. The coupled system shows in-phase, locked-phase and anti-phase synchronizations when the driving frequency and the coupling strength are changed. With background knowledge from general physics and the simplicity of the equipment, this experiment is easy to implement and would be of interest to undergraduate students.

show abstract

“…Applications for synchronization can be found in a wide range of disciplines, including biology, physics, engineering, etc. [21][22][23]. Numerous brain processes have an association with various synchronized events; hence studies on synchronization in neuronal populations have drawn a lot of emphasis [24][25][26][27].…”

mentioning

confidence: 99%

Enhancing relay synchronization in multiplex networks by repulsive relay layer

Wei,

Sriram,

Rajagopal

et al. 2024

EPL

View full text Add to dashboard Cite

Relay synchronization, which is the interlayer synchronization of two indirectly connected layers, is an important phenomenon in multiplex networks. In this study, relay synchronization is investigated through a triplex network of Hindmarsh-Rose neurons while considering attractive and repulsive intralayer couplings. Relay synchronization is improved when the remote layers have attractive coupling, and the relay layer has repulsive coupling. The essential conditions for the local stability of relay synchronization is found within the framework of master stability function approach. The analytical results are supported by numerical data on synchronization error. Furthermore, enhanced relay synchronization is also shown for larger networks and different internal couplings. Finally, the generalizability of the outcome is confirmed by investigating a triplex network of R"ossler systems.

show abstract

Antiphase Synchronization of Two Nonidentical Pendulums

Cited by 13 publications

References 22 publications

The Impact of Higher-Order Interactions on the Synchronization of Hindmarsh–Rose Neuron Maps under Different Coupling Functions

The Impact of Higher-Order Interactions on the Synchronization of Hindmarsh–Rose Neuron Maps under Different Coupling Functions

A laboratory experiment on coupled non-identical pendulums

Enhancing relay synchronization in multiplex networks by repulsive relay layer

Contact Info

Product

Resources

About