Invariant measures for hybrid stochastic systems
نویسندگان
چکیده
منابع مشابه
Invariant Clusters for Hybrid Systems
In this paper, we propose an approach to automatically compute invariant clusters for semialgebraic hybrid systems. An invariant cluster for an ordinary differential equation (ODE) is a multivariate polynomial invariant g(~u, ~x) = 0, parametric in ~u, which can yield an infinite number of concrete invariants by assigning different values to ~u so that every trajectory of the system can be over...
متن کاملInvariant manifold reduction for stochastic dynamical systems
Invariant manifolds facilitate the understanding of nonlinear stochastic dynamics. When an invariant manifold is represented approximately by a graph for example, the whole stochastic dynamical system may be reduced or restricted to this manifold. This reduced system may provide valuable dynamical information for the original system. The authors have derived an invariant manifold reduction or r...
متن کاملConcentration of Invariant Measures for Stochastic Generalized Porous Media Equations
By using Bernstein functions, existence and concentration properties are studied for invariant measures of the infinitesimal generators associated to a large class of stochastic generalized porous media equations. In particular, results derived in [4] are extended to equations with non-constant and stronger noises. Analogous results are also proved for invariant probability measures for strong ...
متن کاملGibbsian Dynamics and Invariant Measures for Stochastic Dissipative PDEs
1 Department of Mathematics and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544; and School of Mathematical Sciences, Peking University, People’s Republic of China; e-mail: [email protected] 2 Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544; e-mail: [email protected] Received June 30, 200...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2014
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2014.7.565