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math.DS2004
Asymptotic and Lyapunov stability of Poisson equilibria
Juan-Pablo Ortega, Víctor Planas-Bielsa, Tudor S. Ratiu
This paper includes results centered around three topics, all of them related with the nonlinear stability of equilibria in Poisson dynamical systems. Firstly, we prove an energy-C…
math.DS2003★ 64 cited
Dynamics on Leibniz manifolds
Juan-Pablo Ortega, Victor Planas-Bielsa
This paper shows that various relevant dynamical systems can be described as vector fields associated to smooth functions via a bracket that defines what we call a Leibniz structur…