Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Simić, Slobodan N."'
Autor:
Simić, Slobodan N.
The goal of this expository paper is to present the basics of geometric control theory suitable for advanced undergraduate or beginning graduate students with a solid background in advanced calculus and ordinary differential equations.
Externí odkaz:
http://arxiv.org/abs/2404.00059
Autor:
Simić, Slobodan N.
We generalize the classical Frobenius integrability theorem to plane fields of class $C^Q$, a regularity class introduced by Reimann [Rei76] for vector fields in Euclidean spaces. A $C^Q$ vector field is uniquely integrable and its flow is a quasicon
Externí odkaz:
http://arxiv.org/abs/2403.17150
Autor:
Simić, Slobodan N.
We establish a new criterion for the existence of a global cross section to a non-singular volume-preserving flow on a compact manifold. Namely, if $\Phi$ is a non-singular smooth flow on a compact, connected manifold $M$ with a smooth invariant volu
Externí odkaz:
http://arxiv.org/abs/1906.02705
Autor:
Simić, Slobodan N.1 (AUTHOR) slobodan.simic@sjsu.edu
Publikováno v:
Dynamical Systems: An International Journal. Jun2023, Vol. 38 Issue 2, p314-319. 6p.
Autor:
Simić, Slobodan N.
We investigate certain natural connections between subriemannian geometry and hyperbolic dynamical systems. In particular, we study dynamically defined horizontal distributions which split into two integrable ones and ask: how is the energy of a subr
Externí odkaz:
http://arxiv.org/abs/1501.03472
Autor:
Simić, Slobodan N.
We provide a new criterion for the existence of a global cross section to a volume-preserving Anosov flow. The criterion is expressed in terms of expansion and contraction rates of the flow and is more general than the previous results of similar kin
Externí odkaz:
http://arxiv.org/abs/1403.2672
A very small dispersion in the speed of light may be observable in Fermi time- and energy-tagged data on variable sources, such as gamma-ray bursts (GRB) and active galactic nuclei (AGN). We describe a method to compute the size of this effect by app
Externí odkaz:
http://arxiv.org/abs/0912.3839
Autor:
Simić, Slobodan N.
Whereas subriemannian geometry usually deals with smooth horizontal distributions, partially hyperbolic dynamical systems provide many examples of subriemannian geometries defined by non-smooth (namely, H\"older continuous) distributions. These distr
Externí odkaz:
http://arxiv.org/abs/0709.3864
Autor:
Simić, Slobodan N.
We prove an inequality for H\"older continuous differential forms on compact manifolds in which the integral of the form over the boundary of a sufficiently small, smoothly immersed disk is bounded by a certain multiplicative convex combination of th
Externí odkaz:
http://arxiv.org/abs/0708.1940
Autor:
Simić, Slobodan N.
Oseledets regularity functions quantify the deviation of the growth associated with a dynamical system along its Lyapunov bundles from the corresponding uniform exponential growth. Precise degree of regularity of these functions is unknown. We show t
Externí odkaz:
http://arxiv.org/abs/math/0702626