Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Longo, Iacopo P."'
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporar
Externí odkaz:
http://arxiv.org/abs/2409.03851
This work deals with a parametric linear interpolation between an autonomous FitzHugh-Nagumo model and a nonautonomous skewed-problem with the same fundamental structure. This paradigmatic example allows to construct a family of nonautonomous dynamic
Externí odkaz:
http://arxiv.org/abs/2408.12256
New results on the behaviour of the fast motion in slow-fast systems of ODEs with dependence on the fast time are given in terms of tracking of nonautonomous attractors. Under quite general assumptions, including the uniform ultimate boundedness of t
Externí odkaz:
http://arxiv.org/abs/2406.15086
Publikováno v:
Chaos 33, 123113 (2023)
This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponents calculated along a locally pullback attractive solution are efficien
Externí odkaz:
http://arxiv.org/abs/2305.14136
We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The results are obtained by constructing and studying the stability of a sui
Externí odkaz:
http://arxiv.org/abs/2305.05747
The global dynamics of a nonautonomous Carath\'eodory scalar ordinary differential equation $x'=f(t,x)$, given by a function $f$ which is concave in $x$, is determined by the existence or absence of an attractor-repeller pair of hyperbolic solutions.
Externí odkaz:
http://arxiv.org/abs/2304.06417
Systems of non-autonomous parabolic partial differential equations over a bounded domain with nonlinear term of Carath\'eodory type are considered. Appropriate topologies on sets of Lipschitz Carath\'eodory maps are defined in order to have a continu
Externí odkaz:
http://arxiv.org/abs/2209.03926
Publikováno v:
J Dyn Diff Equat (2022)
A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the dynamics, from the existence of an attractor-repeller pair of hyperbol
Externí odkaz:
http://arxiv.org/abs/2110.10145
Publikováno v:
SIAM Journal on Applied Dynamical Systems, 20(1) (2021), 500-540
An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations $x'=-x^2+q(t)\,x+p(t)$, where $q\colon\mathbb{R}\to\mathbb{R}$ and $p\colon\mathbb{R}\to\mathbb{R}$ are bounded and uniformly continuous, is fund
Externí odkaz:
http://arxiv.org/abs/2110.02608
Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining how "globally stable" a nonlinear system is very challenging. Over the last few decades, many different ideas have been develope
Externí odkaz:
http://arxiv.org/abs/2105.10592