The Centre for Mathematics of the University of Porto (CMUP) invites applications for two postdoctoral position in Mathematics, under the Project UID/MAT/00144/2013UID/MAT/00144/2013. Applicants must hold a Ph.D. in Mathematics or in a related field, relevant to the research interests of the Centre, completed at the time of application. The positions are for 3 months and should start between September 1st and October 1st, 2017. The monthly salary is 1495 euros (free of tax). There are no compulsory teaching duties associated with the position. Applications can be submitted from June 30, 2017 and the deadline is July 13, 2017. Applications should be sent by e-mail to recrutamento@fc.up.pt with copy to cmup@fc.up.pt. They should contain the reference UID/MAT/00144/2013 - FCT/MCTES in the subject field and include the following: - Letter of motivation; - Proposed work plan (research statement); One page description of how one of the problems from the work plan could be addressed, and an explanation of their expertise in the area. - CV (including list of publications); - Certificate of academic degrees; - Any other documents considered relevant by the applicant. Any letters of recommendation to be sent directly by the referees to the above e-mail addresses. For further information please consult the official page of the announcement here. Questions can be addressed to the e-mail address cmup@fc.up.pt. Work Plan The recipients of the grant will be part of teams addressing each one of the following problems: 1) Study of stability and switching properties of heteroclinic networks, in particular: - Estimates of the stability index for specific networks in R^6, in order to obtain conditions for asymptotic stability and for weaker forms of stability. - Description of dynamics around heteroclinic networks and conditions for chaotic switching. 2) Work on weakly nonlinear stability of steady hydromagnetic convective states, especially: - Effects of large-scale perturbations that are not essentially one-dimensional in the slow variables, as they involve two linearly independent wave vectors. - Possible patterns of behaviour of large-scale perturbations of convective magnetohydrodynamic states symmetric about a vertical axis that are linked to the evolution of amplitudes in the slow time. - Simulations of poorly scale-separated perturbations to small-scale dynamo regimes; comparison with the predictions of the multiscale analysis.