title: Two-state on-off intermittency caused by unstable dimension variability in periodically forced drift waves.
abstract: Certain high-dimensional dynamical systems present two or more attractors characterized by different energy branches. For some parameter values the dynamics oscillates between these two branches in a seemingly random fashion, a phenomenon called two-state on-off intermittency. In this work we show that the dynamical mechanism underlying this intermittency involves the severe breakdown of hyperbolicity of the attractors through a mechanism known as unstable dimension variability. We characterize the parametric evolution of this variability using statistical properties of the finite-time Lyapunov exponents. As a model system that exhibits this behavior we consider periodically forced and damped drift waves. In this spatiotemporal example there is a low-dimensional chaotic attractor that is created by an interior crisis, already presenting unstable dimension variability.
authors.affiliation: Departamento de Física, Universidade Federal do Paraná, Curitiba, Paraná, Brazil.
authors.forename: P P
authors.initials: PP
authors.lastname: Galuzio
authors.forename: S R
authors.initials: SR
authors.lastname: Lopes
authors.forename: R L
authors.initials: RL
authors.lastname: Viana
mesh_terms: D000465:Algorithms; D005583:Fourier Analysis; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D010825:Physics / Q000379:methods*; D013997:Time Factors