At ACNS 2008, Canard et al. introduced the notion of trapdoor sanitizable signature (TSS) based on identity-based chameleon hash (IBCH). Trapdoor sanitizable signatures allow the signer of a message to delegate, at any time, the power of sanitization to possibly several entities who can modify predetermined parts of the message and generate a new signature on the sanitized message without inter...

Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathematical analysis of these multi-timescale systems can be greatly simplified by par...

Mixed-mode dynamics is a complex type of dynamical behavior that has been observed both numerically and experimentally in numerous prototypical systems in the natural sciences. The compartmental Wilson-Callaway model for the dopaminergic neuron is an example of a system that exhibits a wide variety of mixed-mode patterns upon variation of a control parameter. One characteristic feature of this ...

A rapid shape parameterization tool called PROTEUS is developed for aircraft shape optimization. This tool can be applied directly to any aircraft geometry that has been defined in PLOT3D format, with the restriction that each aircraft component must be defined by only one data block. PROTEUS has eight types of parameterization schemes: planform, wing surface, twist, body surface, body scaling,...

Abstract We study the problem of preservation maximal canards for time discretized fast–slow systems with canard fold points. In order to ensure such preservation, certain favorable structure-preserving properties discretization scheme are required. Conventional schemes do not possess properties. perform a detailed analysis an unconventional due Kahan. The uses blow-up method deal loss normal h...

A novel methodology is presented for performing sensitivity analyses of assembled plate structures using the Boundary Element Method (BEM). The main novelty this work that exact implicit derivatives BEM formulations have been derived first time and incorporated into a newly developed Implicit Differentiation (IDM), enabling to be conducted more complex realistic in accurate, robust, efficient m...

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at switch. Here we describe two seemingly natural models of a switch simple periodically-forced harmonic oscillator, which disagree starkly their predictions its long time behaviour. Attempting to resolve disagreement by ‘regularizing’ not only preserves disa...