Multiple homoclinic solutions for singular differential equations
Tài liệu tham khảo
Battelli, 1990, Exponential dichotomies, heteroclinic orbits, and Melnikov functions, J. Differential Equations, 86, 342, 10.1016/0022-0396(90)90034-M
Battelli, 1993, Heteroclinic orbits in systems with slowing varying coefficients, J. Differential Equations, 105, 1, 10.1006/jdeq.1993.1080
Battelli, 1993, Chaos in the Duffing equation, J. Differential Equations, 101, 276, 10.1006/jdeq.1993.1013
Battelli, 2003, Singular perturbations, transversality, and Silnikov saddle-focus homoclinic orbits, J. Dynamics Differential Equations, 15, 357, 10.1023/B:JODY.0000009741.47178.6f
Blazquez, 1986, Bifurcation from a homoclinic orbit in parabolic differential equations, Proc. Roy. Soc. Edinburgh, 103A, 265, 10.1017/S0308210500018916
Chow, 1982
Fečkan, 2000, Transversal bounded solutions in systems with normal and slow variables, J. Differential Equations, 165, 123, 10.1006/jdeq.2000.3767
Gruendler, 1992, Homoclinic solutions for autonomous systems in arbitrary dimension, SIAM J. Math. Anal., 23, 702, 10.1137/0523036
Gruendler, 1998, Homoclinic solutions and chaos in ordinary differential equations with singular perturbations, Trans. Amer. Math. Soc., 350, 3797, 10.1090/S0002-9947-98-02211-9
Schalk, 1995, Homoclinic points near degenerate homoclinics, Nonlinearity, 8, 1133, 10.1088/0951-7715/8/6/014
Vanderbauwhede, 1987, Center manifolds and contractions on a scale of Banach spaces, J. Funct. Anal., 72, 209, 10.1016/0022-1236(87)90086-3