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Selection and optimization of drive nodes in drive-response networks.
Chaos
January 2025
College of Computer Science and Software Engineering, Shenzhen University, Guangdong 518060, China.
This paper considers the selection and optimization of drive nodes based on the controllability of multilayer networks. The intra-layer network topologies are arbitrary, and the node dynamics are linear time-invariant dynamical systems. The study focuses on the number and selection of drive nodes in a special class of drive-response networks.
View Article and Find Full Text PDFAnalytical and numerical studies for integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies.
Chaos
January 2025
College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Under investigation in this paper is the integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies. The linear dispersion relations, completeness relations, inverse scattering transform, and fractional soliton solutions of the integrable fractional discrete modified Korteweg-de Vries hierarchy will be explored. The inverse scattering problem will be solved accurately by constructing Gel'fand-Levitan-Marchenko equations and Riemann-Hilbert problem.
View Article and Find Full Text PDFCharacterization of dynamic features in the walking videos of patients with adolescent idiopathic scoliosis based on moving entropy.
Chaos
January 2025
College of Science, Civil Aviation University of China, Tianjin 300300, China.
Adolescent idiopathic scoliosis (AIS), which typically occurs in patients between the ages of 10 and 18, can be caused by a variety of reasons, and no definitive cause has been found. Early diagnosis of AIS or timely recognition of progression is crucial for the prevention of spinal deformity and the reduction of the risk of surgery or postponement. However, it remains a significant challenge.
View Article and Find Full Text PDFReliable detection of directional couplings using cross-vector measures.
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January 2025
Jožef Stefan Institute, Jamova cesta 39, SI-1000 Ljubljana, Slovenia.
Detecting directional couplings from time series is crucial in understanding complex dynamical systems. Various approaches based on reconstructed state-spaces have been developed for this purpose, including a cross-distance vector measure, which we introduced in our recent work. Here, we devise two new cross-vector measures that utilize ranks and time series estimates instead of distances.
View Article and Find Full Text PDFSoliton and rogue wave excitations in the Chen-Lee-Liu derivative nonlinear Schrödinger equation with two complex PT-symmetric potentials.
Chaos
January 2025
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China.
We demonstrate that fundamental nonlinear localized modes can exist in the Chen-Lee-Liu equation modified by several parity-time (PT) symmetric complex potentials. The explicit formula of analytical solitons is derived from the physically interesting Scarf-II potential, and families of spatial solitons in internal modes are numerically captured under the optical lattice potential. By the spectral analysis of linear stability, we observe that these bright solitons can remain stable across a broad scope of potential parameters, despite the breaking of the corresponding linear PT-symmetric phases.
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