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...
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...
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...
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...
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 ...
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...
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 ...
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...
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...
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...