supported by National Natural Science Foundation of China(11701024);the Fundamental Research Funds for the Central Universities(2019RC17)。
Factor properties and their structures are important themes in combinatorics on words.Let D be the infinite one-sided sequence over the alphabet{a,b}generated by the period-doubling substitutionσ(a)=ab andσ(b)=aa.In...
supported by the National Natural Science Foundation of China(Grant Nos.11872150,11772094,and 11890673);the Shanghai Rising-Star Program(Grant No.19QA1400500),the Shanghai Chenguang Program(Grant No.16CG01);the State Key Laboratory for Strength and Vibration of Mechanical Structures(Grant No.SV2018-KF-17)。
Surface instability of compliant film/substrate bilayers has raised considerable interests due to its broad applications such as wrinkle-driven surface renewal and antifouling,shape-morphing for camouflaging skins,and...
Study of chaotic synchronization as a fundamental phenomenon in the nonlinear dynamical systems theory has been recently raised many interests in science, engineering, and technology. In this paper, we develop a new m...
the financial support from the National Natural Science Foundation of China (No. 11002026, 11372039);Beijing Natural Science Foundation (No. 3133039);the Scientific Research Foundation for the Returned Overseas Chinese Scholars (No. 20121832001)
The localization characteristics of the in-plane elastic waves in locally resonant aperiodic phononic crystals are examined in this study. In particular, the phononic crystals generated according to the Thue-Morse, Ru...
supported by Changchun Science and Technology Support Program (11KZ36);the National Natural Science Foundation of China (60372061)
In this paper, we study the chaotic dynamics of the mode-locked fiber laser by numerical simulation. The structures of the passively mode-locked fiber laser and the actively mode-locked fiber laser are studied by mode...
Project supported by the National Natural Science Foundation of China (Grant No. 10872165)
This paper aims to study the stochastic period-doubling bifurcation of the three-dimensional Rossler system with an arch-like bounded random parameter. First, we transform the stochastic RSssler system into its equiva...
supported by the National Natural Science Foundation of China under Grant No.10875078;the Natural Science Foundation of Zhejiang Province of China under Grant No.Y7080455
The dynamical behavior of the extended Duffing-Van der Pol oscillator is investigated numerically in detail. With the aid of some numerical simulation tools such as bifurcation diagrams and Poinearé maps, the differe...
A planar passive walking model with straight legs and round feet was discussed. This model can walk down steps, both on stairs with even steps and with random steps. Simulations showed that models with small moments o...
Supported by the National Natural Science Foundation of China under Grant No 90401025, the Ministry of Education of China under Grant No NCET-04-0116 and 105036.
The distinct period doubling behaviour in a 10 GHz gain-switched (GS) DFB laser is experimentally investigated in frequency domain and in time domain. The period doubling occurs as the frequency of the rf driving si...
Project supported by the Major Program of the National Natural Science Foundation of China, China (Grant No 10332030), the National Natural Science Foundation of China (Grant No 10472091), and the Graduate Starting Seed Fund of Northwestern Polytechnical University, China (Grant No Z200655).
In this paper, the Chebyshev polynomial approximation is applied to the problem of stochastic period-doubling bifurcation of a stochastic Bonhoeffer-van der Pol (BVP for short) system with a bounded random parameter...