267 citations · 420 across the 25 of their papers we have counts for
4 papers · 1 filter
Automatic recognition and tagging of topologically different regimes in dynamical systems
Jesse Berwald, Marian Gidea, Mikael Vejdemo-Johansson
Complex systems are commonly modeled using nonlinear dynamical systems. These models are often high-dimensional and chaotic. An important goal in studying physical systems through…
Critical Transitions In a Model of a Genetic Regulatory System
Jesse Berwald, Marian Gidea
We consider a model for substrate-depletion oscillations in genetic systems, based on a stochastic differential equation with a slowly evolving external signal. We show the existen…
Perturbations of geodesic flows by recurrent dynamics
Marian Gidea, Rafael de la Llave
We consider a geodesic flow on a compact manifold endowed with a Riemannian (or Finsler, or Lorentz) metric satisfying some generic, explicit conditions. We couple the geodesic flo…
Global diffusion on a tight three-sphere
Marian Gidea
We consider an integrable Hamiltonian system weakly coupled with a pendulum-type system. For each energy level within some range, the uncoupled system is assumed to possess a norma…