25 citations · 190 across the 38 of their papers we have counts for
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math.DS2026
Loss-of-hyperbolicity and jump bifurcations in scalar nonautonomous d-concave ODEs
Jesús Dueñas, Carmen Núñez, Rafael Obaya
The paper studies bifurcation for additively parametrized scalar nonautonomous ODEs of the form , where is d-concave and coercive in the state variable. By formula…
math.DS2026
Averaging and tracking of local attractors in slowly varying systems with two time scales
Carmen Núñez, Rafael Obaya, Jorge Rodríguez
The paper analyzes to what extent the dynamics of a nonautonomous -dimensional dynamical system with two time scales, formulated in the slow time as $dx/dt=f(t/\varepsilon, t, x…
math.DS2026
A new class of generalized ordinary differential equations with applications
Sylvia Novo, Iacopo P. Longo, Rafael Obaya +1
The paper presents a new approach to the study of precompact families of Carathéodory ODEs using techniques from nonautonomous dynamical systems, together with some applications.