Zobrazeno 1 - 10
of 136
pro vyhledávání: '"37H20"'
We study the asymptotic behaviour of stationary densities of one-dimensional random diffeomorphisms, at the boundaries of their support, which correspond to deterministic fixed points of extremal diffeomorphisms. In particular, we show how this stati
Externí odkaz:
http://arxiv.org/abs/2410.18554
The main goal of this work is to provide a description of transitions from uniform to non-uniform snychronization in diffusions based on large deviation estimates for finite time Lyapunov exponents. These can be characterized in terms of moment Lyapu
Externí odkaz:
http://arxiv.org/abs/2408.12556
Autor:
Foldes, Juraj, Stacy, Declan
We study the stability of $\mathcal{M}_0$, an invariant subset of a Markov process $(X_t)_{t\geq 0}$ on a metric space $\mathcal{M}$. By building the theory of average Lyapunov functions, we formulate general criteria based on the signs of Lyapunov e
Externí odkaz:
http://arxiv.org/abs/2407.19606
In this paper, we study the number of limit cycles of a piecewise smooth differential system separated by one or two parallel straight lines or rays formed by a nilpotent center or degenerate center and linear saddle. Piecewise linear differential sy
Externí odkaz:
http://arxiv.org/abs/2407.15163
Publikováno v:
2024
Piecewise linear differential systems separated by two parallel straight lines of the type of center-center-Hamiltonian saddle and the center-Hamiltonian saddle-Hamiltonian saddle can have at most one limit cycle and there are systems in these classe
Externí odkaz:
http://arxiv.org/abs/2406.08138
In this paper, we construct and discuss early-warning signs of the approach of a parameter to a deterministic bifurcation on a stochastic partial differential equation (SPDE) model with Gaussian white-noise on the boundary. We specifically focus on t
Externí odkaz:
http://arxiv.org/abs/2405.13550
A deterministic dynamical system that slowly passes through a generic fold-type (saddle-node) bifurcation can be reduced to one-dimensional dynamics close to the bifurcation because of the centre manifold theorem. It is often tacitly assumed that the
Externí odkaz:
http://arxiv.org/abs/2311.18597
Autor:
Morr, Andreas, Boers, Niklas
Detection of critical slowing down (CSD) is the dominant avenue for anticipating critical transitions from noisy time-series data. Most commonly, changes in variance and lag-1 autocorrelation [AC(1)] are used as CSD indicators. However, these indicat
Externí odkaz:
http://arxiv.org/abs/2310.05587
Autor:
Blessing, Alexandra, Blömker, Dirk
We estimate the finite-time Lyapunov exponents for a stochastic partial differential equation driven by a fractional Brownian motion (fbm) with Hurst index $H\in(0,1)$ close to a bifurcation of pitchfork type. We characterize regions depending on the
Externí odkaz:
http://arxiv.org/abs/2309.12189
Anticipating bifurcation-induced transitions in dynamical systems has gained relevance in various fields of the natural, social, and economic sciences. Before the annihilation of a system's equilibrium point by means of a bifurcation, the system's in
Externí odkaz:
http://arxiv.org/abs/2308.16773