Escaping particles from a stadium billiard: comparison of static and time-dependen...
Transport, escape of particles and dynamical properties of some non-linear mappings
Bistable laser with long-delayed feedback: a scaling investigation
Grant number: | 12/23688-5 |
Support Opportunities: | Regular Research Grants |
Field of knowledge: | Physical Sciences and Mathematics - Physics - General Physics |
Principal Investigator: | Edson Denis Leonel |
Grantee: | Edson Denis Leonel |
Host Institution: | Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil |
Abstract
The main goal of this project is to understand and describe somenonlinear phenomena particularly concentrated in phase transitions fromintegrability to non integrability. The phase space is of mixed typeand contains KAM islands, invariant spanning curves and chaotic seas.The size of the chaotic sea and the average properties for such regionin the phase space is strongly dependent on the position of the firstinvariant spanning curve. We shall concentrate in the description ofsuch curve by using a connection with the standard mapping. Averageproperties and transport of particles along the chaotic sea will beconsidered too. Possible connections equilibrium states of billiardswith thermodynamics are desired to be obtained using the so called timedependent billiard systems. (AU)
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