Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Cuncai Hua"'
Autor:
Guangzhu He, Cuncai Hua
Publikováno v:
Journal of Applied Mathematics and Physics. :507-518
In this paper, an extended car-following model is proposed based on an optimal velocity model (OVM), which takes the speed limit into consideration. The model is analyzed by using the linear stability theory and nonlinear analysis method. The linear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4202b9e60eafcc52beffc77c9bf14d4
https://doi.org/10.4236/jamp.2020.83040
https://doi.org/10.4236/jamp.2020.83040
Autor:
Cuncai Hua, Shaojie Yang
Publikováno v:
Applied Mathematics and Computation. 234:579-583
In this paper, based on classical Lie group method, with the help of Maple software, we study a coupled KdV–Burgers equation, and get its infinitesimal generator, commutation table of Lie algebra, symmetry group and similarity reductions. In partic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f619d9589f40749e89502c138e955f77
https://doi.org/10.1016/j.amc.2014.01.044
https://doi.org/10.1016/j.amc.2014.01.044
Publikováno v:
Acta Applicandae Mathematicae. 118:185-201
In this paper, an analytical method is proposed to construct explicitly exact and approximate solutions for nonlinear evolution equations. By using this method, some new traveling wave solutions of the Kuramoto-Sivashinsky equation and the Benny equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ddc283eba80095cda7628bc96a9f177
https://doi.org/10.1007/s10440-012-9693-3
https://doi.org/10.1007/s10440-012-9693-3
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 16:769-775
The dynamical behavior of a micro-electromechanical nonlinear coupling system – deformable micromirror device, is investigated in this paper. In the literature some nonlinear phenomena have been explored by using the numerical method, and saddle-no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::598660a4aa2bddd2cfb4135cc54c2fd5
https://doi.org/10.1016/j.cnsns.2010.04.018
https://doi.org/10.1016/j.cnsns.2010.04.018
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 16:475-488
A problem of reducing a general three-dimensional (3-D) autonomous quadratic system to a Lorenz-type system is studied. Firstly, under some necessary conditions for preserving the basic qualitative properties of the Lorenz system, the general 3-D aut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fbe6c0366d15eca5f99e5c0c20f2477
https://doi.org/10.3934/dcdsb.2011.16.475
https://doi.org/10.3934/dcdsb.2011.16.475
Publikováno v:
Chaos, Solitons & Fractals. 25:1161-1167
In this paper, steady bifurcation and solitons in relativistic laser plasmas interaction are investigated. At first, a new coupled equation for wake wave and the circularly polarized transversal electromagnetic wave is derived. It is a Hamiltonian sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02aee00696ab118e89d157f8b3c2ab83
https://doi.org/10.1016/j.chaos.2004.11.061
https://doi.org/10.1016/j.chaos.2004.11.061
Autor:
Kaitai Li, Cuncai Hua
Publikováno v:
Chaos, Solitons & Fractals. 25:1169-1175
In this paper, coexistence and simplified formulations of the solitary waves of the cubic–quintic non-linear Schrodinger equation (CQNLS) are investigated by analyzing the steady bifurcation and the energy integral of the conservative dynamical sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53163b29bfb7261d6e70da2e80400279
https://doi.org/10.1016/j.chaos.2004.11.082
https://doi.org/10.1016/j.chaos.2004.11.082
Autor:
Cuncai Hua, Qishao Lu
Publikováno v:
International Journal of Modern Physics B. 17:4260-4266
A time-dependent bifurcation model and its control problem are studied. Firstly, the delayed bifurcating transition with memory effects due to time-dependent parameters are analysed. Secondly, a control problem with time-dependent parametric feedback
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fda7c24a3f76cf98c1025abbf1ca63ba
https://doi.org/10.1142/s0217979203022283
https://doi.org/10.1142/s0217979203022283
Autor:
Qishao Lu, Cuncai Hua
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 4:268-271
The concept of stability on finite time interval is proposed and some stability theorems are established. The delayed bifurcation transition of Dufflng's equations with a time-dependent parameter is analyzed. Function is used to predict the bifurcati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a3d5c414091d7429f5e03de27f07f3e
https://doi.org/10.1016/s1007-5704(99)90039-4
https://doi.org/10.1016/s1007-5704(99)90039-4
Publikováno v:
2011 Fourth International Workshop on Chaos-Fractals Theories and Applications.
Lie symmetry analysis and basic similarity reductions are performed for the coupled Kuramoto-Sivashinsky(KS) equations. With aid of symbolic computation of Maple software, the continuous Lie point symmetry technique is extended to obtain correspondin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67d0534c9e2d0da131ffaa87c10761ef
https://doi.org/10.1109/iwcfta.2011.61
https://doi.org/10.1109/iwcfta.2011.61