The Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor. This talk addresses the role of the stable and unstable manifolds in organising the dynamics more globally. A main object of interest is the stable manifold of the origin of the Lorenz system, also known as the Lorenz manifold. This two-dimensional manifold and associated manifolds of saddle periodic orbits can be computed accurately with numerical methods based on the continuation of orbit segments, defined as solutions of suitable two-point boundary value problems. We use these techniques to give a precise geometrical and topological characterisation of global manifolds during the transition from simple dynamics, via preturbulence to chaotic dynamics, as the Rayleigh parameter of the Lorenz system is increased; joint work with Hinke Osinga (University of Auckland) and Eusebius Doedel (Concordia University, Montreal). 

Dr. Aleksandra Budra, Assistant Professor, Erasmus University Medical Center Rotterdam. Language: English

Professor Sergiusz Jóźwiak, Warsaw Medical University, and The Children’s Memorial Health Institute, Warsaw, Poland. Language: English

Dr. Marc Bescond, LIMMS CNRS-IIS The University of Tokyo

Dr. Atsushi Takahara, Professor at Kyushu University

¹JST ERATO Takahara Soft Interfaces Project
²International Institute for Carbon-Neutral Energy Research (I²CNER), Kyushu University
³Institute for Materials Chemistry and Enginering, Kyushu Universtity

Speaker:
By Dr Joshua Goldberg, Department of medical Neurobiology, The Hebrew University of Jerusalem     http://joshgoldberg.ekmd.huji.ac.il

Prof. Ada Yonath, Nobel Laureate in chemistry 2009, Weizmann Institute of Science

Language: English

Prof. Donald Hilvert, Laboratory of Organic Chemistry, ETH Zürich, Zurich, Switzerland.

Language: English

"Dr. Sei Sai, Senior Researcher, National Institutes for Quantum and Radiological
Science and Technology. Language: English, no interpretation."

"Dr. Toru Hirota, Chief, Cancer Institute of the Japanese Foundation for Cancer Research. Language: English, no interpretation."