We consider the following perturbed coupled nonlinear Schrodinger system (CNLS)Where qj(j=1,2) is 2π-periodic and even about x,ε denotss a small perturbation paramater0 <ε<<1,αj,βj,γj (j=1, 2), and w ar...We consider the following perturbed coupled nonlinear Schrodinger system (CNLS)Where qj(j=1,2) is 2π-periodic and even about x,ε denotss a small perturbation paramater0 <ε<<1,αj,βj,γj (j=1, 2), and w are positive real constants, D is a bounded dissipatireoperator and is assumed to take the展开更多
The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifo...The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoctinic orbits near the primary homoclinic orbits is developed. Some known results are extended.展开更多
文摘We consider the following perturbed coupled nonlinear Schrodinger system (CNLS)Where qj(j=1,2) is 2π-periodic and even about x,ε denotss a small perturbation paramater0 <ε<<1,αj,βj,γj (j=1, 2), and w are positive real constants, D is a bounded dissipatireoperator and is assumed to take the
基金supported by the National Natural Science Foundation of China (No. 10671069)the ShanghaiLeading Academic Discipline Project (No. B407).
文摘The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoctinic orbits near the primary homoclinic orbits is developed. Some known results are extended.
