Publications by authors named "Renato Vitolo"

Tipping points associated with bifurcations (B-tipping) or induced by noise (N-tipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here on a novel class of tipping points, where a sufficiently rapid change to an input or parameter of a system may cause the system to 'tip' or move away from a branch of attractors. Such rate-dependent tipping, or R-tipping, need not be associated with either bifurcations or noise.

View Article and Find Full Text PDF

Tropical cyclones have massive economic, social, and ecological impacts, and models of their occurrence influence many planning activities from setting insurance premiums to conservation planning. Most impact models allow for geographically varying cyclone rates but assume that individual storm events occur randomly with constant rate in time. This study analyzes the statistical properties of Atlantic tropical cyclones and shows that local cyclone counts vary in time, with periods of elevated activity followed by relative quiescence.

View Article and Find Full Text PDF

Infinite cascades of periodicity hubs were predicted and very recently observed experimentally to organize stable oscillations of some dissipative flows. Here we describe the global mechanism underlying the genesis and organization of networks of periodicity hubs in control parameter space of a simple prototypical flow, namely a Rössler's oscillator. We show that spirals associated with periodicity hubs emerge and accumulate at the folding of certain fractal-like sheaves of Shilnikov homoclinic bifurcations of a common saddle-focus equilibrium.

View Article and Find Full Text PDF

This paper introduces the notion of robust extremes in deterministic chaotic systems, presents initial theoretical results, and outlines associated inferential techniques. A chaotic deterministic system is said to exhibit robust extremes under a given observable when the associated statistics of extreme values depend smoothly on the system's control parameters. Robust extremes are here illustrated numerically for the flow of the Lorenz model [E.

View Article and Find Full Text PDF

Synopsis of recent research by authors named "Renato Vitolo"

  • - Renato Vitolo's research primarily focuses on understanding complex dynamical systems, particularly in the context of climate change and natural disasters, emphasizing various tipping point mechanisms and their implications for system behavior and prediction.
  • - Key findings include the identification of rate-dependent tipping in climate systems, which can lead to sudden changes without the need for bifurcations or noise, as well as the recognition of temporal patterns in the occurrence of tropical cyclones that influence ecological impacts and planning activities.
  • - Vitolo also explores the organization of periodicity hubs in dissipative flows and their connections to chaotic systems, contributing to the understanding of robust extremes in chaotic deterministic systems and their statistical properties.