QUASI-PERIODIC

作品数:108被引量:92H指数:5
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相关领域:理学更多>>
相关作者:周一帆甘淑媛李佳张志胜朱春鹏更多>>
相关机构:东南大学中国科学院南京大学徐州工程学院更多>>
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相关基金:国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>
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Dynamical complexity of Anosov systems driven by a quasi-periodic force
《Science China Mathematics》2025年第1期89-136,共48页Wen Huang Zeng Lian Kening Lu 
supported by National Natural Science Foundation of China(Grant Nos.12090010,12090013,11971330,12090012,12031019,11725105,and 12226102).
Consider C^(2)Anosov systems on a compact manifold driven by a quasi-periodic force.We study their dynamical complexity on various levels from the perspectives of both path-wise dynamics and stochastic processes.Assum...
关键词:random Anosov systems Anosov system on bers entropy random periodic orbit random horseshoe cohomological equation random Livsic theorem random Bousch-Mañécohomology lemma 
THE HOLDER CONTINUITY OF THE LYAPUNOV EXPONENT FOR A QUASI-PERIODIC SZEGO COCYCLE
《Acta Mathematica Scientia》2024年第6期2099-2110,共12页BEI ZHANG 
supported by the NSFC(11571327,11971059)。
In this paper,I consider the Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegö cocycle with weak Liouville frequency.I extend the existing results about the regularity of the Lyapunov exponent from...
关键词:Szegöcocycle Lyapunov exponents Holder continuity orthogonal polynomials 
Applications of knot theory to the detection of heteroclinic connections between quasi-periodic orbits
《Astrodynamics》2024年第4期577-595,共19页Danny Owen Nicola Baresi 
Heteroclinic connections represent unique opportunities for spacecraft to transfer between isoenergetic libration point orbits for zero deterministic∆V expenditure.However,methods of detecting them can be limited,typi...
关键词:circular restricted three-body problem(CR3BP) quasi-periodic torus heteroclinic connection knot theory 
Strange Nonchaotic Attractors in a Quasiperiodically Excited Slender Rigid Rocking Block with Two Frequencies被引量:1
《Acta Mechanica Solida Sinica》2024年第5期750-761,共12页Jinkai Jiang Zhengdong Du 
supported by the National Natural Science Foundation of China under grant number 11971019.
In this paper,we investigate the existence of strange nonchaotic attractors(SNAs)in a slender rigid rocking block under quasi-periodic forcing with two frequencies.We find that an SNA can exist between a quasi-periodi...
关键词:Strange nonchaotic attractor Slender rigid rocking block Quasi-periodic excitation Chaos Lyapunov exponent 
Quasi-periodically Forced Logistic Map with Weak Liouvillean Frequency
《Acta Mathematica Sinica,English Series》2024年第10期2411-2435,共25页Jin Hao LIANG Lin Lin FU 
supported by NSFC(Grant No.12101311);supported by GuangDong Basic and Applied Basic Research Foundation(Grant No.2022A1515110427)。
Consider a class of quasi-periodically forced logistic maps T×[0,1]■:(θ,x)→(θ+ω,c(θ)x(1-x))(T=R/Z),whereωis an irrational frequency and c(θ)is a specific bimodal function.We prove that under weak Liouvillean ...
关键词:Quasi-periodically forced logistic map strange non-chaotic attractor weak Liouvillean frequency Lyapunov exponent 
Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves
《Journal of Hydrodynamics》2024年第5期925-933,共9页Xue Guan Bo-ya Xiao Yu Liu Meng Chen 
supported by the National Natural Science Foundation of China(Grant No.11972034);the Youth Innovation Promotion Association of the Chinese Academy of Science(Grant No.2020018).
Compared with periodic structures,quasi-periodic structures have superior band gap properties and topological interface states.In this paper,a one-dimensional quasi-periodic Fibonacci water wave metamaterial model tha...
关键词:Water wave metamaterial quasi-periodic structure Fibonacci sequence topological interface states 
Unraveling light localization in quasi-periodic photonic lattices
《Science China Chemistry》2024年第9期2787-2788,共2页Gianluigi Zito 
Light localization has transformative implications for advancing the fields of chemistry and physics,enabling new approaches in sensing,imaging,energy harvesting,photochemical catalysis,molecular-scale optoelectronic ...
关键词:LIGHT PERIODIC QUASI 
Different topological phase transitions in the Su–Schrieffer–Heeger model under different disorder structures
《Chinese Physics B》2024年第9期217-221,共5页Yan Gu Zhanpeng Lu 
the National Natural Science Foun-dation of China(Grant No.12205176);the High-level Tal-ent Research Start-up Project(Grant No.RCK202231).
We investigate the topological phase transition in the Su–Schrieffer–Heeger model with the long-range hopping and quasi-periodic modulation.By numerically calculating the real-space winding number,we obtain topologi...
关键词:topological insulator quasi-periodic modulation 
Anosov-Katok Constructions for Quasi-Periodic SL(2,R)Cocycles
《Peking Mathematical Journal》2024年第1期203-245,共43页Nikolaos Karaliolios Xu Xu Qi Zhou 
N.Karaliolios was partially supported by LABEX CEMPI(ANR-11-LABX-0007-01)while a post-doc at Université de Lille;.Q.Zhou was partially supported by National Key R&D Program of China(No.2020YFA0713300);NSFC(Grant No.12071232);The Science Fund for Distinguished Young Scholars of Tianjin(No.19JCJQJC61300);Nankai Zhide Foundation。
We prove that if the frequency of the quasi-periodic SL(2,R)cocycle is Diophantine,then each of the following properties is dense in the subcritical regime:for any 1/2<κ<1,the Lyapunov exponent is exactlyκ-Hölder co...
关键词:QUASI-PERIODIC Anosov-Katok construction Almost-reducibility 
A Possible X-ray Quasi-periodic Oscillation in the Narrow-line Seyfert 1 Galaxy Mrk 142
《Research in Astronomy and Astrophysics》2024年第6期191-200,共10页Xiao-Gu Zhong Jian-Cheng Wang Yong-Yun Chen Xiao-Ling Yu 
financial supports from the Science Foundation of Department of Education of Yunnan Province (2024J0935)。
A possible quasi-periodic oscillation(QPO) at frequency 7.045 × 10^(-5) Hz is found in the narrow-line Seyfert 1galaxy Mrk 142 in the data of XMM-Newton collected on 2020 April 11.We find that the QPO signal is stati...
关键词:X-rays:galaxies galaxies:Seyfert ACCRETION accretion disks radiation mechanisms:general 
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