Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

NUHGD

Financiado

Non Uniform Hyperbolicity in Global Dynamics

An important part of differentiable dynamics has been developed from the uniformly hyperbolic systems. These systems have been introduced by Smale in the 60's in order to address chaotic behavior and are now deeply understood from... ver más

31/08/2023

CNRS

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2023-08-31

ERC-ADG-2015: ERC Advanced Grant

I+D

Cerrada hace 9 años

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

2 Participantes

CNRS

1.23M€ | Lider

SIGMA BRAKES, S.A.

105.60K€ | Participante

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Proyectos interesantes

PID2020-113052GB-I00 GENESIS DE COMPLEJIDAD: DINAMICAS DISCRETAS Y CONTINUAS 50K€ Cerrado

MTM2008-06065 COMPLEJIDAD DINAMICA: GENESIS Y NATURALEZA. MODELOS EN APLIC... 40K€ Cerrado

FIS2016-74957-P VARIABILIDAD Y CONFIABILIDAD EN SISTEMAS CAOTICOS DE ALTA DI... 57K€ Cerrado

MTM2014-56953-P COMPLEJIDAD DINAMICA: COMPORTAMIENTOS CAOTICOS, CENTROS ORGA... 41K€ Cerrado

MTM2011-22956 COMPLEJIDAD DINAMICA: GENESIS Y NATURALEZA. SISTEMAS DIFEREN... 42K€ Cerrado

PID2021-128418NA-I00 DESDE LOS COMPORTAMIENTOS SIMPLES A LA COMPLEJIDAD DINAMICA:... 65K€ Cerrado

Duración del proyecto: 87 meses Fecha Inicio: 2016-05-11
Fecha Fin: 2023-08-31

Líder del proyecto

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 1M€

Descripción del proyecto An important part of differentiable dynamics has been developed from the uniformly hyperbolic systems. These systems have been introduced by Smale in the 60's in order to address chaotic behavior and are now deeply understood from the qualitative, symbolic and statistic viewpoints. They correspond to the structurally stable dynamics. It appeared that large classes of non-hyperbolic systems also exist. Since the 80's, different notions of relaxed hyperbolicity have been introduced: non-uniformly hyperbolic measures, partial hyperbolicity,... They allowed to extend the previous approach to other families of systems and to handle new examples of dynamics: the fine description of the dynamics of Hénon maps for instance. The development of local perturbative technics have brought a rebirth for the qualitative description of generic systems. It also opened the door to describe more globally the spaces of differentiable dynamics. For instance, it allowed recent progresses towards the Palis conjecture which characterizes the absence of uniform hyperbolicity by the homoclinic bifurcations — homoclinic tangencies or heterodimensional cycles. We propose in the present project to develop technics for realizing more global perturbations, yielding a breakthrough in the subject. This would settle this conjecture for C1 diffeomorphisms and imply other classification results. These past years we have understood how qualitative dynamics of generic systems decompose into invariant pieces. We are now ready to describe more precisely the dynamics inside the pieces. We propose to combine these new geometrical ideas to the ergodic theory of non-uniformly hyperbolic systems. This will improve significantly our understanding of general smooth systems (for instance provide existence and finiteness of physical measures and measures of maximal entropy for new classes of systems beyond uniform hyperbolicity).

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores