[PDF][PDF] Linear flows on compact, semisimple Lie groups: stability and periodic orbits
S Stelmastchuk - Electronic Journal of Qualitative Theory of Differential …, 2021 - real.mtak.hu
Our first purpose is to study the stability of linear flows on real, connected, compact,
semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant …
semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant …
On the structural properties of the bounded control set of a linear control system
V Ayala, A Da Silva - Nonlinear Differential Equations and Applications …, 2022 - Springer
The present paper shows that the closure of the bounded control set of a linear control
system contains all the bounded orbits of the system. As a consequence, we prove that the …
system contains all the bounded orbits of the system. As a consequence, we prove that the …
Linear flows on compact, semisimple Lie groups: stability, periodic orbits, and Poincar\'e-Bendixon's Theorem
SN Stelmastchuk - arXiv preprint arXiv:1806.08026, 2018 - arxiv.org
Our first purpose is to study the stability of linear flows on real, connected, compact,
semisimple Lie groups. After, we study and classify periodic orbits of linear and invariant …
semisimple Lie groups. After, we study and classify periodic orbits of linear and invariant …
[PDF][PDF] Dynamics of endomorphisms of Lie groups and their topological entropy
V Ayala, A Da Silva - arXiv preprint arXiv:1604.08272, 2016 - researchgate.net
For a given endomorphism ϕ of a connected Lie group G this paper studies subgroups of G
that are intrinsically connected with the dynamical properties of ϕ. We show that all the …
that are intrinsically connected with the dynamical properties of ϕ. We show that all the …
[PDF][PDF] Structural properties of the bounded control set of a linear system
V Ayala, A Da Silva - 2020 - victorayala.cl
The present paper shows that the bounded control set of a linear system on a connected Lie
group G contains all the bounded orbits of the system. As a consequence, its closure is the …
group G contains all the bounded orbits of the system. As a consequence, its closure is the …
On the continuity of the invariance entropy for hyperbolic linear control systems on Lie groups
A Da Silva - 2019 IEEE Information Theory Workshop (ITW), 2019 - ieeexplore.ieee.org
On the continuity of the invariance entropy for hyperbolic linear control systems on Lie groups
Page 1 On the continuity of the invariance entropy for hyperbolic linear control systems on Lie …
Page 1 On the continuity of the invariance entropy for hyperbolic linear control systems on Lie …
On the classification of finite-dimensional linear flows
A Berger, A Wynne - Journal of Dynamics and Differential Equations, 2020 - Springer
New elementary, self-contained proofs are presented for the topological and the smooth
classification theorems of linear flows on finite-dimensional normed spaces. The arguments …
classification theorems of linear flows on finite-dimensional normed spaces. The arguments …
[引用][C] Solutions curve for control systems on Lie groups
JPL Oliveira - 2020 - Programa de Pós-Graduação em …