We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem.

1. General Experimental Details 2. Oxidative Addition Complexes and Synthetic Procedures 3. Peptide Synthesis and LC-MS Characterisation 4. Macrocyclisation Reactions and LC-MS Characterisation 5. C-CA Protein Expression 6. BioLayer Interferometry Binding 7. Lipophilicity, Phospholipid Affinity, Volume of Distribution, and Human Serum Albumin Binding Data 8. ICP-MS Analysis 9. References 10. NM...

Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of Hölder continuity; the second concerns contraction operator cocycles on a Hilbert space and shows how holomorphic assumptions yield cocycles enjoying an infinitesimal characterisation which goes beyond the sco...

By extending the notion of grid classes to include infinite grids, we establish a structural characterisation of the simple permutations in Av(4231, 31524, 42513, 351624), a pattern class which has three different connections with algebraic geometry, including the specification of indices of Schubert varieties defined by inclusions. This characterisation leads to the enumeration of the class.

Conservation research has historically been conducted at the macro level, focusing on animals and plants their role in wider ecosystem. However, there is a growing appreciation of importance microbial communities conservation. Most microbiome conservation thus far used amplicon sequencing methods to assess taxonomic composition inferred functional capabilities from these data. as manipulation t...

We carried out different research projects by using our expertise in the field of the study of equilibria in solution, the synthesis and the NMR characterisation of cyclodextrin derivatives, capillary electrophoresis techniques, and electrospray mass spectrometry for the detection and the characterisation of the involved analytes. The most of our work concerns the separation science, and partic...

This paper describes the characterisation of a synthetic workload for performance evaluation of a new system before replacing a legacy system. The workload is used by CAPPLES, a capacity planning and performance analysis method for the migration of legacy systems. Typical workload characterisation problems are anticipated and discussed. Further, guidelines to characterise a CAPPLES workload for...

PSR B0656+14’s high energy emission is consistent with that of combined magnetospheric and thermal (surface & polar cap) emission. Uncertainties with the radio-derived distance and X-ray instrumentation sensitivities complicate a definitive thermal characterisation however. A re-analysis of combined ROSAT/EUVE archival data in conjunction with integrated & phase-resolved optical photometry is s...

The category of event structures is known to embed fully and faithfully in the category of presheaves over pomsets. Here a characterisation of the presheaves represented by event structures is presented. The proof goes via a characterisation of the presheaves represented by event structures when the morphisms on event structures are “strict” in that they preserve the partial order of causal dep...

A particle system is a family of i.i.d. stochastic processes with values translated by Poisson points. We obtain conditions that ensure the stationarity in time of the particle system in R and in some cases provide a full characterisation of the stationarity property. In particular, a full characterisation of stationary multivariate Brown–Resnick processes is given.