相关期刊:《Progress in Natural Science:Materials International》《Acta Mathematica Sinica,English Series》《Science China(Technological Sciences)》《Journal of Ocean University of China》更多>>
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...
the National Natural Science Foundation of China(Nos.52088102,51875540)。
Ship rolling in random waves is a complicated nonlinear motion that contributes substantially to ship instability and capsizing.The finite element method(FEM)is employed in this paper to solve the Fokker Planck(FP)equ...
supported by the Fundamental Research Funds for the Central Universities(Grant No.34000-31610274)。
We study a generalized Frenkel-Kontorova model and obtain periodic and heteroclinic mountain pass solutions.The heteroclinic mountain pass solution in the second laminations is new to the generalized Frenkel-Kontorova...
This paper studies the dynamics of the generalist predator–prey systems modeled in[E.Alexandra,F.Lutscher and G.Seo,Bistability and limit cycles in generalist predator–prey dynamics,Ecol.Complex.14(2013)48–55].When...
We investigate the orbital stability of the peakons for a generalized Camassa-Holm equation (gCH). Using variable transformation, a planar dynamical system is obtained from the gCH equation. It is shown that the plana...
supported by National Natural Science Foundation of China(Grant No.11671254);Innovation Program of Shanghai Municipal Education Commission(Grant No.15ZZ012)
The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on normally hyperbolic critical manifolds, and also the limit cycle bifurcations either from the ho...
Project supported by the National Natural Science Foundation of China(Grant No.11672231);the Natural Science Foundation of Shaanxi Province,China(Grant No.2016JM1010);the Fundamental Research Funds for the Central Universities,China(Grant No.3102015ZY073);the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University,China
The homoclinic and heteroclinic chaos in nonlinear systems subjected to trichotomous noise excitation are studied. The Duffing system and the Josephson-junction system are taken for example to calculate the correspond...
The global error minimization is a variational method for obtaining approximate analytical solutions to nonlinear oscillator equations which works as follows. Given an ordinary differential equation, a trial solution ...
Investigation of new orbit geometries exhibits a very attractive behavior for a spacecraft to monitor space weather coming from the Sun. Several orbit transfer mechanisms are analyzed as potential alternatives to moni...
supported by the Ministerio de Educacion y Ciencia,Plan Nacional I+D+I co-financed with FEDER Funds(No.MTM2010-20907-C02);the Consejeria de Educacion y Ciencia de la Juntade Andalucia(Nos.FQM-276,TIC-0130,and P08-FQM-03770)
A paper, "Non-existence of Shilnikov chaos in continuous-time systems" was published in the journal Applied Mathematics and Mechanics (English Edition). The authors gave sufficient conditions for the non-existence...