⭐️What happens to resonant periodic orbits when you perturb a high-dimensional system? Our new paper answers that by extending the subharmonic Melnikov! We're already preparing a sequel to explore its direct applications to Perturbed Keplerian Systems🚀 onlinelibrary.wiley.com/doi/10.1002/...

An Extension of the Subharmonic Melnikov Method for Resonant Periodic Orbits

We extend the subharmonic Melnikov method to study the persistence of resonant periodic orbits in nonlinear 2n-dimensional systems formed by an integrable zero-order part plus a generic perturbation.....

onlinelibrary.wiley.com

Philanthropic support from Simon Marais Foundation & Hooper Shaw Family Foundation will help us at SMRI @sydney.edu.au expand our fundamental research and deepen global partnerships🌏 We are profoundly grateful to the donors who believed in our vision from the beginning #MathSky #USYDForGood

Sydney Mathematical Research Institute (SMRI)@sydmathinst.bsky.social · 6mo ago

As mathematicians, we explore abstract questions, yet history shows that these ideas often become the foundations of transformative technologies 🧮📱 This weekend of #InternationalDayOfMathematics we are proud to announce a landmark $55.1m co-investment in SMRI🧵 www.sydney.edu.au/news-opinion...

Watch Invited Addresses from #JMM2026 on YouTube. Today’s video: Geordie Williamson, University of Sydney (USYD), gives the second Colloquium Lecture on "Mental Models for Neural Networks." Watch: https://youtu.be/5LDagOaWZnw

Our #InternationalDayOfMathematics public lecture 'A world from a sheet of paper' was given by Tadashi Tokieda 📜🗺️ Curious about origami, miura-ori, and how geometry can confer properties such as elasticity? 🧬 Catch up here👉 mathematical-research-institute.sydney.edu.au/a-world-from... #MathSky 🧮

✨Highly recommend Geordie Williamson's brilliant talk. We were lucky to meet Geordie in Sydney in 2022 at @sydmathinst.bsky.social , he lives by his own words: "Mathematics is humanity's longest conversation."✨ youtu.be/0Tgftb5ELvE?... via @YouTube

🔝SymplecticGeometry has its roots in physics. To take a simple example, imagine a pendulum. Don't miss the video of #HolgerDullin and #FranciscoCrespo and how the role of symmetry can change everything! @sydmathinst.bsky.social @sydneymathsstats.bsky.social youtu.be/fdeh3lljA_Q?...

Francisco Crespo: Celestial mechanics and the full n-body problem

YouTube video by Sydney Mathematical Research Institute - SMRI

youtu.be