Pub Date : 2026-02-03DOI: 10.1016/j.chaos.2026.118009
Tian Hao
{"title":"Universal correlations of the superconducting transition temperature, the superfluid density, the linear-in-T coefficient, and the slope of resistivity–temperature dependence with the fractal dimensions of electron structures","authors":"Tian Hao","doi":"10.1016/j.chaos.2026.118009","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118009","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"90 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-03DOI: 10.1016/j.chaos.2026.117920
Dan Zhou, Zhiqin Liang, Yixin Fu, Mingru Lu, Tao Wang, Qi Xu, Wenyong Li, Hu Yang
{"title":"Risk-aware model predictive control for autonomous vehicle platoons under uncertain cut-in scenarios based on Gaussian mixture models","authors":"Dan Zhou, Zhiqin Liang, Yixin Fu, Mingru Lu, Tao Wang, Qi Xu, Wenyong Li, Hu Yang","doi":"10.1016/j.chaos.2026.117920","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.117920","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"399 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-02DOI: 10.1016/j.chaos.2026.118008
K. Tamilselvan, Jun Liu, Jing Song He
In this work, we analytically investigate, for the first time, instability dynamics induced by pure-quartic dispersion in vector dissipative systems governed by vector complex Ginzburg–Landau equations (CGLEs) that incorporate pure-quartic dispersion, four-wave mixing, and gain–loss effects. The vector CGLEs describe pulse propagation and evolution in all-optical mode-locked fiber laser configurations with pure-quartic dispersion. A modified linear stability analysis is employed to examine modulation instability (MI) arising from small perturbations to continuous-wave steady states. Using the analytical results, we systematically explore how key physical parameters, including wave-number mismatch, pure-quartic dispersion, nonlinearity, gain bandwidth, and gain coefficient, affect the MI process and overall instability characteristics. The analysis is performed rigorously for both gain-free (a regime of the proposed model not previously reported) and dissipative systems. Notably, we uncover distinct instability signatures, including asymmetric MI sidebands, monotonically increasing sideband gain, rectangular spike-like spectra, and partially blown-out MI structures in dissipative systems.
{"title":"Instability dynamics in the vector pure-quartic dissipative systems","authors":"K. Tamilselvan, Jun Liu, Jing Song He","doi":"10.1016/j.chaos.2026.118008","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118008","url":null,"abstract":"In this work, we analytically investigate, for the first time, instability dynamics induced by pure-quartic dispersion in vector dissipative systems governed by vector complex Ginzburg–Landau equations (CGLEs) that incorporate pure-quartic dispersion, four-wave mixing, and gain–loss effects. The vector CGLEs describe pulse propagation and evolution in all-optical mode-locked fiber laser configurations with pure-quartic dispersion. A modified linear stability analysis is employed to examine modulation instability (MI) arising from small perturbations to continuous-wave steady states. Using the analytical results, we systematically explore how key physical parameters, including wave-number mismatch, pure-quartic dispersion, nonlinearity, gain bandwidth, and gain coefficient, affect the MI process and overall instability characteristics. The analysis is performed rigorously for both gain-free (a regime of the proposed model not previously reported) and dissipative systems. Notably, we uncover distinct instability signatures, including asymmetric MI sidebands, monotonically increasing sideband gain, rectangular spike-like spectra, and partially blown-out MI structures in dissipative systems.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"80 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146098227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-02DOI: 10.1016/j.chaos.2026.118012
Izat B. Baybusinov, Enrico Maria Fenoaltea, Zhen Han, Yi-Cheng Zhang
We introduce a general framework to solve a class of combinatorial optimization problems, including the matching problem, the Traveling Salesman Problem, and also the minimum weight k-factor problem. By reformulating these problems as an arrangement model, we recast the optimization task into a grand-canonical ensemble, where chemical potentials are used to relax strict topological constraints. The analytical solution found can serve as a polynomial-time algorithm to compute an approximate minimum cost for arbitrary k and link-weight distributions. Our framework is complementary to existing approaches and reveals new connections between combinatorial optimization and the statistical physics of disordered systems.
{"title":"A grand-canonical solution to a class of random optimization problems","authors":"Izat B. Baybusinov, Enrico Maria Fenoaltea, Zhen Han, Yi-Cheng Zhang","doi":"10.1016/j.chaos.2026.118012","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118012","url":null,"abstract":"We introduce a general framework to solve a class of combinatorial optimization problems, including the matching problem, the Traveling Salesman Problem, and also the minimum weight k-factor problem. By reformulating these problems as an arrangement model, we recast the optimization task into a grand-canonical ensemble, where chemical potentials are used to relax strict topological constraints. The analytical solution found can serve as a polynomial-time algorithm to compute an approximate minimum cost for arbitrary k and link-weight distributions. Our framework is complementary to existing approaches and reveals new connections between combinatorial optimization and the statistical physics of disordered systems.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"8 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146098225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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