7 papers
Dichotomies Faster or Slower than exponential are Irrelevant for Skew-Product Flows
Néstor Jara, Iacopo P. Longo, Martin Rasmussen
We prove that dichotomies given by growth rates that are either faster or slower than exponential either do not occur or are inconsequential in the setting of skew-products with co…
Invariant Sets and Boundary Systems of Nonautonomous Differential Inclusions
Konstantinos Kourliouros, Iacopo P. Longo, Martin Rasmussen
In this paper we propose a finite-dimensional and deterministic approach to the study of invariant sets of certain nonautonomous differential inclusions naturally arising in the co…
Nonautonomous modelling in Energy Balance Models of climate. Limitations of averaging and climate sensitivity
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
Starting from a classical Budyko-Sellers-Ghil energy balance model for the average surface temperature of the Earth, a nonautonomous version is designed by allowing the solar irrad…
Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo
We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The re…
Global bifurcation of homoclinic solutions
Iacopo P. Longo, Christian Pötzsche, Robert Skiba
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient c…
On the transition between autonomous and nonautonomous systems: the case of FitzHugh-Nagumo's model
Iacopo P. Longo, Elena Queirolo, Christian Kuehn
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 para…