Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-03-26
Nonlinear Sciences
Chaotic Dynamics
PlainTeX
Scientific paper
10.1016/S0375-9601(99)00203-0
Homoclinic chaos is usually examined with the hypothesis of hyperbolicity of the critical point. We consider here, following a (suitably adjusted) classical analytic method, the case of non-hyperbolic points and show that, under a Melnikov-type condition plus an additional assumption, the negatively and positively asymptotic sets persist under periodic perturbations, together with their infinitely many intersections on the Poincar\'e section. We also examine, by means of essentially the same procedure, the case of (heteroclinic) orbits tending to the infinity; this case includes in particular the classical Sitnikov 3--body problem.
Cicogna Giampaolo
Santoprete Manuele
No associations
LandOfFree
Nonhyperbolic homoclinic chaos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonhyperbolic homoclinic chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonhyperbolic homoclinic chaos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-6330