title: Chaos in kicked ratchets.
abstract: We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet with finite dissipation, that is periodically kicked with a δ function driving force, without finite inertia terms or temporal or spatial stochastic forces. To our knowledge this is the simplest model reported in the literature for a ratchet, with this complex behavior. We develop an analytical approach that predicts many key features of the system, such as current reversals, as well as the presence of chaotic behavior and bifurcation. Our analytical approach allows us to study the transition from regular to chaotic motion as well as a tangent bifurcation associated with this transition. We show that our approach can be easily extended to other types of periodic driving forces. The square wave is shown as an example.
authors: Departamento de Física e Instituto de Investigaciones Científicas y Tecnológicas en Electrónica, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Avenida Juan B. Justo 4302, 7600 Mar del Plata, Argentina.
authors: D G
authors: DG
authors: Zarlenga
authors: Departamento de Física e Instituto de Investigaciones Científicas y Tecnológicas en Electrónica, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Avenida Juan B. Justo 4302, 7600 Mar del Plata, Argentina.
authors: H A
authors: HA
authors: Larrondo
authors: Departamento de Física e Instituto de Investigaciones Científicas y Tecnológicas en Electrónica, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Avenida Juan B. Justo 4302, 7600 Mar del Plata, Argentina.
authors: C M
authors: CM
authors: Arizmendi
authors: Department of Physics, Emory University, Atlanta, Georgia 30322, USA.
authors: Fereydoon
authors: F
authors: Family