Advanced search
Start date

Averaging theory for nonergodic Hamiltonian systems

Grant number: 16/00357-4
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): August 01, 2016
Effective date (End): September 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Tiago Pereira da Silva
Grantee:Hélcio Martinho Júnior
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID


In a series of recent works, the supervisor and colleagues found evidence that non-ergodicity of a chaotic Hamiltonian system universally leads to entropy growth and, consequently, the exponential growth of energy during a periodic oscillation parameters. In this project, we aim at building a rigorous mathematical theory to describe this phenomenon. This is an important step towards understanding the dynamics Hamiltonian. We will replace the theorem of Anosov-Kasuga by a general principle of averages that applies to any Hamiltonian system, not only the ergodic. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items

Please report errors in scientific publications list using this form.