Zobrazeno 1 - 10
of 365
pro vyhledávání: '"37c70"'
Autor:
Hintz, Peter
On a class of dynamical spacetimes which are asymptotic as $t\to\infty$ to a stationary spacetime containing a horizon $\mathcal{H}_0$, we show the existence of a unique null hypersurface $\mathcal{H}$ which is asymptotic to $\mathcal{H}_0$. This is
Externí odkaz:
http://arxiv.org/abs/2411.12568
Autor:
Igra, Eran
We prove that if a smooth vector field $F$ of $S^3$ generates a sufficiently complicated heteroclinic knot, the flow also generates infinitely many periodic orbits, which persist under smooth perturbations which preserve the heteroclinic knot. Conseq
Externí odkaz:
http://arxiv.org/abs/2411.08571
We consider state-dependent delay differential equations of the form $$\dot{x}(t) = f(x(t), x(t - r(x_t))),$$ where $f$ is continuously differentiable and fulfills a negative feedback condition in the delayed term. Under suitable conditions on $r$ an
Externí odkaz:
http://arxiv.org/abs/2410.23491
Autor:
Dudko, Artem, Gaidashev, Denis
Existence of wild attractors -- attractors whose basin has a positive Lebesgue measure but is not a residual set -- has been one of central themes in one-dimensional dynamics. It has been demonstrated by H. Bruin et al. that Fibonacci maps with a suf
Externí odkaz:
http://arxiv.org/abs/2406.19019
We consider the secant method $S_p$ applied to a real polynomial $p$ of degree $d+1$ as a discrete dynamical system on $\mathbb R^2$. If the polynomial $p$ has a local extremum at a point $\alpha$ then the discrete dynamical system generated by the i
Externí odkaz:
http://arxiv.org/abs/2405.08791
We present some rigorous results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classical nonholonomic Suslov problem which shows how previous investigations
Externí odkaz:
http://arxiv.org/abs/2404.14156
This paper proposes a new concept of pluripotency inspired by Colli-Vargas [Ergod. Theory Dyn. Syst., 21(6):1657-1681, 2001] and presents fundamental theorems for developing the theory. Pluripotency reprograms dynamics from a statistical or geometric
Externí odkaz:
http://arxiv.org/abs/2404.00337
In this paper, we first provide a criterion on uniform large deviation principles (ULDP) of stochastic differential equations under Lyapunov conditions on the coefficients, which can be applied to stochastic systems with coefficients of polynomial gr
Externí odkaz:
http://arxiv.org/abs/2402.16522
We introduce a class of infinitely renormalizable, unicritical diffeomorphisms of the disk (with a non-degenerate "critical point"). In this class of dynamical systems, we show that under renormalization, maps eventually become H\'enon-like, and then
Externí odkaz:
http://arxiv.org/abs/2401.13559
This study explores the connection between disinformation, defined as deliberate spread of false information, and rate-induced tipping (R-tipping), a phenomenon where systems undergo sudden changes due to rapid shifts in ex-ternal forces. While tradi
Externí odkaz:
http://arxiv.org/abs/2401.05078