Opening book details…
Can I read Bifurcation and Chaos Near Sliding Homoclinics on EtoBox?
Bifurcation and Chaos Near Sliding Homoclinics by Flaviano Battelli; Michal Fečkan is a Mathematics article available to read on EtoBox.
What is Bifurcation and Chaos Near Sliding Homoclinics about?
We study the chaotic behaviour of a time dependent perturbation of a discontinuous differential equation whose unperturbed part has a sliding homoclinic orbit that is a solution homoclinic to a hyperbolic fixed point with a part belonging to a discontinuity surface. We assume the time dependent perturbation satisfies a kind of recurrence condition which is satisfied by almost periodic perturbations. Following a functional analytic approach we construct a Melnikov-like function M(α) in such a way that if M(α) has a simple zero at some point, then the system has solutions that behave chaotically. Applications of this result to quasi-periodic systems are also given.
Who reads Bifurcation and Chaos Near Sliding Homoclinics?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Flaviano Battelli; Michal Fečkan
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)