Using a simple nonlinear filter, it is possible to shift arbitrarily complex wave forms produced by systems with a delayed feedback backwards in time. Physically, this corresponds to a seemingly noncausal transmission of signals. Filter chains allow for signals travelling against the coupling direction of the chain. These apparent paradoxes are resolved, and possible physical implications are d...

We propose a second generation phenomenological model for nonlinear interaction of gravity waves on the surface of deep water. This model takes into account the effects of non-locality of the original Hasselmann diffusion equation still preserving important properties of the first generation model: physically consistent scaling, adherence to conservation laws and the existence of KolmogorovZakh...

Formation of axial modes in the gyrotron backward-wave oscillator is examined in the perspective of optimum conditions for beam-wave interactions. Distinctive linear properties are revealed and interpreted physically. Nonlinear implications of these properties (specifically, the role of high-order axial modes) are investigated with time-dependent simulations. Nonstationary oscillations exhibit ...

The Neurohedron is a multi-modal interface for a nonlinear sequencer software model, embodied physically in a dodecahedron. The faces of the dodecahedron are both inputs and outputs, allowing the device to visualize the activity of the software model as well as convey input to it. The software model maps MIDI notes to the faces of the device, and defines and controls the behavior of the sequenc...

We study a singular nonlinear ordinary differential equation on intervals [0, R) with R ≤ +∞, motivated by the Ginzburg–Landau models in superconductivity and Landau–de Gennes models in liquid crystals. We prove existence and uniqueness of positive solutions under general assumptions on the nonlinearity. Further uniqueness results for sign-changing solutions are obtained for a physically releva...

The possibility of physically relevant singular solutions of the nonlinear Schrr odinger equation (NLSE) with sustained dissipation into the singularity is considered through numerical study of a dissipative regularisation and its small dissipation limit. A new form of such dissipative solutions is conjectured for certain parameter ranges where this behaviour was previously not expected, involv...

The multi-scale nature and climate noise properties of teleconnection indices are examined by using the Empirical Mode Decomposition (EMD) procedure. The EMD procedure allows for the analysis of non-stationary time series to extract physically meaningful intrinsic mode functions (IMF) and nonlinear trends. The climatologically relevant monthly mean teleconnection indices of the North Atlantic O...

Interactive implicit modelling with complex skeletons was recently improved with the introduction of primitives de ned at di erent LODs. These implicit primitives use a subdivision curve as a skeleton. In this paper an extension to this representation is presented, in order to make it suitable for the interactive modelling and animation of soft objects in contact situations. The rst contributio...

BACKGROUND Despite increasing use of assistive devices (ADs) by physically disabled (PD) children, the use rate, number, effects and related services have seldom been studied. Understanding AD utilization is helpful in improving the related services. This study describes the usage of ADs by children with physical disabilities (PDs). METHODS This regional survey enrolled children with PDs. The...