Lecture Notes in Physics [electronic resource] : Nonlinear Dynamics Aspects of Particle Accelerators.

Opening address considerations on the statistical description of charged-beam plasmas -- Integrable and nonintegrable hamiltonian systems -- Single particle dynamics and nonlinear resonances in circular accelerators -- Nonlinear dynamics aspects of modern storage rings -- Nonlinear beam-beam resonances -- Synchro-betatron resonances -- Observations of the beam-beam interaction -- The dynamics of the beam-beam interaction -- Review of beam-beam simulations -- Perturbation methods in nonlinear dynamics -- Theories of statistical equilibrium in electron-positron colliding-beam storage rings -- Non-linear dissipative phenomena in electron storage rings -- Dynamic aperture: Analytic derivation and sextupole algorithms -- Transition to chaos for area-preserving maps -- Tracking and special processors -- Algorithms for tracking of charged particles in circular accelerators -- Break-down of stability -- Nonlinear dynamics a personal perspective.