Reservoir computing with higher-order interactive coupled pendulums DOI
Xueqi Li, Michael Small, Youming Lei

и другие.

Physical review. E, Год журнала: 2023, Номер 108(6)

Опубликована: Дек. 21, 2023

The reservoir computing approach utilizes a time series of measurements as input to high-dimensional dynamical system known reservoir. However, the relies on sampling random matrix define its underlying layer, which leads numerous hyperparameters that need be optimized. Here, we propose nonlocally coupled pendulum model with higher-order interactions novel reservoir, requires no matrices and fewer hyperparameters. We use Bayesian optimization explore hyperparameter space within minimal number iterations train pendulums reproduce chaotic attractors, simplifies complicated optimization. illustrate effectiveness our technique Lorenz Hindmarsh-Rose neuronal model, calculate Pearson correlation coefficients between Hausdorff metrics in phase space. demonstrate contribution by analyzing interaction different configurations prediction performance, well computations largest Lyapunov exponents. chimera state is found most effective regime for prediction. findings, where present new structure, offer potential applications design high-performance modeling dynamics physical systems.

Язык: Английский

Higher-order interaction induced chimeralike state in a bipartite network DOI

Rumi Kar,

V. K. Chandrasekar, D. V. Senthilkumar

и другие.

Physical review. E, Год журнала: 2024, Номер 110(3)

Опубликована: Сен. 10, 2024

We report higher-order coupling induced stable chimeralike state in a bipartite network of coupled phase oscillators without any time-delay the coupling. show that interaction breaks symmetry homogeneous synchronized to facilitate manifestation breaking state. In particular, such manifests only when pairwise is attractive and repulsive, vice versa. Further, we also demonstrate increased degree heterogeneity promotes symmetric states diagram by suppressing asymmetric deduce low-dimensional evolution equations for macroscopic order parameters using Ott-Antonsen ansatz obtain bifurcation curves from them software xppaut, which agrees very well with simulation results. analytical stability conditions incoherent state, in-phase out-of-phase states, match curves.

Язык: Английский

Процитировано

1

The complementary contribution of each order topology into the synchronization of multi-order networks DOI Open Access
Xiaomin Ren, Youming Lei, Celso Grebogi

и другие.

Chaos An Interdisciplinary Journal of Nonlinear Science, Год журнала: 2023, Номер 33(11)

Опубликована: Ноя. 1, 2023

Higher-order interactions improve our capability to model real-world complex systems ranging from physics and neuroscience economics social sciences. There is great interest nowadays in understanding the contribution of higher-order terms collective behavior network. In this work, we investigate stability complete synchronization networks with structures. We demonstrate that level a network composed nodes interacting simultaneously via multiple orders maintained regardless intensity coupling strength across different orders. articulate lower-order topologies work together complementarily provide optimal stable configuration, challenging previous conclusions promote synchronization. Furthermore, find simply adding based on existing connections, as simple complexes, does not have significant impact The universal applicability lies comprehensive analysis topologies, including hypergraphs simplicial utilization appropriate rescaling assess stability.

Язык: Английский

Процитировано

3

Pattern and waves on 2D-Kuramoto model with many-body interactions DOI
Haojie Luo,

Yu Xue,

Mu-yang Huang

и другие.

Chaos Solitons & Fractals, Год журнала: 2023, Номер 179, С. 114402 - 114402

Опубликована: Дек. 29, 2023

Язык: Английский

Процитировано

1

Vibration-resonance chimeras in coupled excitable systems with heterogeneous aperiodic excitations DOI
Qian Shu Li, Youming Lei

Physica A Statistical Mechanics and its Applications, Год журнала: 2024, Номер 654, С. 130156 - 130156

Опубликована: Окт. 9, 2024

Язык: Английский

Процитировано

0

Reservoir computing with higher-order interactive coupled pendulums DOI
Xueqi Li, Michael Small, Youming Lei

и другие.

Physical review. E, Год журнала: 2023, Номер 108(6)

Опубликована: Дек. 21, 2023

The reservoir computing approach utilizes a time series of measurements as input to high-dimensional dynamical system known reservoir. However, the relies on sampling random matrix define its underlying layer, which leads numerous hyperparameters that need be optimized. Here, we propose nonlocally coupled pendulum model with higher-order interactions novel reservoir, requires no matrices and fewer hyperparameters. We use Bayesian optimization explore hyperparameter space within minimal number iterations train pendulums reproduce chaotic attractors, simplifies complicated optimization. illustrate effectiveness our technique Lorenz Hindmarsh-Rose neuronal model, calculate Pearson correlation coefficients between Hausdorff metrics in phase space. demonstrate contribution by analyzing interaction different configurations prediction performance, well computations largest Lyapunov exponents. chimera state is found most effective regime for prediction. findings, where present new structure, offer potential applications design high-performance modeling dynamics physical systems.

Язык: Английский

Процитировано

0