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Stochastic Differential Equations as Dynamical Systems

1990
The solution of a stochastic differential equation with a given initial value defines a Markov process. Moreover, the mapping assigning to each initial value the solution at time t defines a random diffeomorphism, and the family of these diffeomorphisms for t ∈ IR forms a cocycle (flow) over the Wiener space.
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Differential Geometry Applied to Dynamical Systems

2009
Differential Equations Hartman-Grobman Theorem Liapounoff Stability Theorem Phase Portraits Poincare-Bendixson Theorem Attractors Strange Attractors Hamiltonian and Integrable Systems K A M Theorem Invariant Sets Global/Local Invariance Center Manifold Theorem Normal Form Theorem Local Bifurcations of Codimension 1 Hopf Bifurcation, Slow-Fast Dynamical
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Dissipativity Theory for Nonlinear Stochastic Dynamical Systems

IEEE Transactions on Automatic Control, 2017
Tanmay Rajpurohit, W. Haddad
semanticscholar   +1 more source

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