title: Destruction of adiabatic invariance for billiards in a strong nonuniform magnetic field.
abstract: We study a classical billiard of charged particles in a strong nonuniform magnetic field. We provide an adiabatic description for skipping motion along the boundary of the billiard. We show that a sequence of many changes of regimes of motion from skipping to motion without collisions with the boundary and back to skipping leads to destruction of the adiabatic invariance and chaotic dynamics in a large domain in the phase space. This is a new mechanism of the origin of chaotic dynamics for systems with impacts.
authors.affiliation: Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom.
authors.forename: A I
authors.initials: AI
authors.lastname: Neishtadt
authors.forename: A V
authors.initials: AV
authors.lastname: Artemyev