Blowout bifurcations are investigated in a symmetrized extension of the replacement method of chaotic synchronization which consists of coupling chaotic systems via mutually shared variables. The coupled systems are partly linear with respect to variables that are not shared, and that form orthogonal invariant manifolds in the composite system. If the coupled systems are identical, marginal (pr...

BACKGROUND Actinomyces is a bacterial rod found in the normal oral flora. It can gain entry to the submucosa via trivial wounds and ultimately lead to slow growing lesions which may mimic cancerous lesions. METHODS AND RESULTS We present the case of an elderly, immunosuppressed woman who presented with a herald bleed from a tonsillar lesion. Despite initial operative arrest of the hemorrhage,...

The indications for surgical repair of the orbital blowout fracture are controversial. One reason may be case variation among fracture types. We therefore focused on linear-type blowout fractures in this study. The study included 22 consecutive patients with linear-type floor fractures. Demographics, clinical and computed tomographic (CT) findings, surgical timing, postoperative course, and out...

We examine global dynamics and bifurcations occurring in a truncated model of a stellar mean-field dynamo. This model has symmetry-forced invariant subspaces for the dynamics and we find examples of transient type I intermittency and blowout bifurcations to transient on-off intermittency, involving laminar phases in the invariant submanifold. In particular, our model provides examples of blowou...

We establish and investigate the conceptual connection between the dynamics of the bailout embedding of a Hamiltonian system and the dynamical regimes associated with the occurrence of bubbling and blowout bifurcations. The roles of the invariant manifold and the dynamics restricted to it, required in bubbling and blowout bifurcating systems, are played in the bailout embedding by the embedded ...

Work to develop a practical, fast diagnostic technique to monitor the proximity of a combustor to blowout using measurements of the flame’s acoustic signature is described. The feasibility of this approach was demonstrated on three combustors with different flame holding mechanisms that are used in most practical combustion devices: pilot, swirl, and bluff-body stabilized flames. Extensive high...

During the Deepwater Horizon blowout, thick layers of oiled material were deposited on the deep seafloor. This large scale benthic concentration of oil is suggested to have occurred via the process of Marine Oil Snow Sedimentation and Flocculent Accumulation (MOSSFA). This meta-analysis investigates whether MOSSFA occurred in other large oil spills and identifies the main drivers of oil sedimen...

This paper presents a theory for characterization of the blowout bifurcation by periodic orbits. Blowout bifurcation in chaotic systems occurs when a chaotic attractor, lying in some symmetric invariant subspace, becomes transversely unstable. We present an analysis and numerical results that indicate that the bifurcation is mediated by changes in the transverse stability of an infinite number ...