Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics IP Longo, C Núnez, R Obaya, M Rasmussen SIAM Journal on Applied Dynamical Systems 20 (1), 500-540, 2021 | 21 | 2021 |
Resilience of dynamical systems H Krakovská, C Kuehn, IP Longo European Journal of Applied Mathematics, 2021 | 20 | 2021 |
Estimating rate-induced tipping via asymptotic series and a Melnikov-like method C Kuehn, IP Longo Nonlinearity 35 (5), 2559, 2022 | 15 | 2022 |
Weak topologies for Carathéodory differential equations: continuous dependence, exponential dichotomy and attractors IP Longo, S Novo, R Obaya Journal of Dynamics and Differential Equations 31, 1617-1651, 2019 | 15 | 2019 |
Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations IP Longo, C Núñez, R Obaya Journal of Dynamics and Differential Equations, 2022 | 11 | 2022 |
Topologies of Llocp type for Carathéodory functions with applications in non-autonomous differential equations IP Longo, S Novo, R Obaya Journal of Differential Equations 263 (11), 7187-7220, 2017 | 11 | 2017 |
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology J Dueñas, IP Longo, R Obaya Chaos: An Interdisciplinary Journal of Nonlinear Science 33, 123113, 2023 | 8 | 2023 |
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates IP Longo, C Núñez, R Obaya Nonlinearity 37 (4), 045017, 2024 | 7 | 2024 |
Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics IP Longo, S Novo, R Obaya Discrete and Continuous Dynamical Systems 39 (9), 5491-5520, 2019 | 6 | 2019 |
Topologies of continuity for Carathéodory differential equations with applications in non-autonomous dynamics IP Longo Universidad de Valladolid, 2018 | 5 | 2018 |
Monotone skew-product semiflows for Carathéodory differential equations and applications IP Longo, S Novo, R Obaya Journal of Dynamics and Differential Equations, 1-37, 2022 | 2 | 2022 |
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time IP Longo, R Obaya, AM Sanz Journal of Differential Equations 414, 609-644, 2025 | 1 | 2025 |
Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling H Jardón-Kojakhmetov, C Kuehn, IP Longo SIAM Journal on Applied Dynamical Systems 23 (2), 1540-1578, 2024 | 1 | 2024 |
Topologies of continuity for Carathéodory parabolic PDEs from a dynamical perspective IP Longo, R Obaya, AM Sanz Discrete and Continuous Dynamical Systems 43 (6), 2213-2240, 2023 | 1 | 2023 |
Global bifurcation of homoclinic solutions IP Longo, C Pötzsche, R Skiba arXiv preprint arXiv:2409.03851, 2024 | | 2024 |
On the transition between autonomous and nonautonomous systems: the case of FitzHugh-Nagumo's model IP Longo, E Queirolo, C Kuehn arXiv preprint arXiv:2408.12256, 2024 | | 2024 |
Resilience of dynamical systems–ERRATUM H Krakovská, C Kuehn, IP Longo European Journal of Applied Mathematics 35 (1), 201-201, 2024 | | 2024 |
Tracking Nonautonomous Attractors in Singularly Perturbed Systems of Odes with Dependence on the Fast Time R Obaya, IP Longo, AM Sanz Available at SSRN 4909958, 0 | | |
Singularly perturbed systems of ODEs with dependence on the fast time IP LONGO, R OBAYA, A SANZ Recent Advances in Dynamical Systems GDM2024, 13, 0 | | |
Global and local bifurcations of homoclinic solutions IP Longo, C Pötzsche, R Skiba | | |