Chaotic Diffusion: Importance, approaches and consequences
Speaker: GUIMARÃES Gabriel
Abstract:
Regular motion in the dynamical systems might now be regarded as the odd phenomena instead of chaotic ones. That is because chaotic motion seems to take place more widely and commonly than periodic ones, and in Celestial Mechanics it could be no different.
Still, it is not uncommon to characterise orbits of asteroids and comets that are clearly stable as chaotic ones and vice versa. That is because of Chaotic Diffusion, which is responsible to drive dynamical systems from a regular state to a chaotic one.
Nonetheless, the onset of chaos — as well as the effective “chaoticity” of an orbit — might not be immediate nor evident, pronouncing themselves in distinct timescales, sometimes larger than the system’s own lifetime.
Such cases, those of “stable” or “weak” chaos, chaotic diffusion is thought to play a significant role in shaping and sculpting our Solar system and other extrasolar counterparts orbital architecture.
In this presentation, I will explain a bit about chaos, contextualize it within the realms of celestial mechanics and planet formation, present tools for quantification of chaotic diffusion and how to use them to estimate instability times that are comparable to observed/simulated ones without the need to intensive and extensively making use of computational resources nor sophisticated mathematical models.