Lipo Wang,Xinyu Mei
Lipo Wang
For continuum fields such as turbulence, analyses of the field structure offer insights into their kinematic and dynamic properties. To ensure the analyses are quantitative rather than merely illustrative, two conditions are essential: spac...
Identification of network interactions from time series data: An iterative approach [0.03%]
从时间序列数据识别网络交互的迭代方法
Bharat Singhal,Shicheng Li,Jr-Shin Li
Bharat Singhal
The first step toward advancing our understanding of complex networks involves determining their connectivity structures from the time series data. These networks are often high-dimensional, and in practice, only a limited amount of data ca...
Stability mapping of bipartite tight-binding graphs with losses and gain: PTPT-symmetry and beyond [0.03%]
具有损耗和增益的双图紧束缚图的稳定性映射：PTPT对称性及其以上属性
C T Martínez-Martínez,L A Moreno-Rodriguez,J A Méndez-Bermúdez et al.
C T Martínez-Martínez et al.
We consider bipartite tight-binding graphs composed by N nodes split into two sets of equal size: one set containing nodes with on-site loss, the other set having nodes with on-site gain. The nodes are connected randomly with probability p....
On the validity of the state space correspondence strategy based on k-nearest neighbor cross-predictability in assessing directionality in stochastic systems: Application to cardiorespiratory coupling estimation [0.03%]
基于k-最近邻交叉预测能力的狀態空間對應策略在评估随机系统方向性方面的有效性的验证：应用于心呼吸耦合估计
Alberto Porta,Raphael Martins de Abreu,Vlasta Bari et al.
Alberto Porta et al.
We tested the validity of the state space correspondence (SSC) strategy based on k-nearest neighbor cross-predictability (KNNCP) to assess the directionality of coupling in stochastic nonlinear bivariate autoregressive (NBAR) processes. The...
Adaptable reservoir computing: A paradigm for model-free data-driven prediction of critical transitions in nonlinear dynamical systems [0.03%]
适应性水库计算：非线性动力系统临界跃迁模型外数据驱动预测的范式
Shirin Panahi,Ying-Cheng Lai
Shirin Panahi
A problem in nonlinear and complex dynamical systems with broad applications is forecasting the occurrence of a critical transition based solely on data without knowledge about the system equations. When such a transition leads to system co...
Elena Kuzmin,Toby M Baker,Peter Van Loo et al.
Elena Kuzmin et al.
In the evolution of species, the karyotype changes with a timescale of tens to hundreds of thousand years. In the development of cancer, the karyotype often is modified in cancerous cells over the lifetime of an individual. Characterizing t...
Juan P Tarigo,Cecilia Stari,Cristina Masoller et al.
Juan P Tarigo et al.
The basin entropy is a measure that quantifies, in a system that has two or more attractors, the predictability of a final state, as a function of the initial conditions. While the basin entropy has been demonstrated on a variety of multist...
Jinhui Yao,Jicai Huang,Renato Huzak
Jinhui Yao
In this paper, we study the cyclicity of some degenerate slow-fast cycles with two canard mechanisms in planar slow-fast systems. One canard mechanism originates from a slow-fast Hopf point and the other from a point of self-intersection wh...
Divya D Joshi,Sachin Bhalekar,Prashant M Gade
Divya D Joshi
Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the "fractional order di...
Micro-macro consistency in multiscale modeling: Score-based model assisted sampling of fast/slow dynamical systems [0.03%]
基于评分的模型辅助采样快速/慢速动力系统的微观-宏观一致性研究
E R Crabtree,J M Bello-Rivas,I G Kevrekidis
E R Crabtree
A valuable step in the modeling of multiscale dynamical systems in fields such as computational chemistry, biology, and materials science is the representative sampling of the phase space over long time scales of interest; this task is not,...