Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time

Attractors of solutions to ordinary differential equations (34D45) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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Attractors for infinite-dimensional non-autonomous dynamical systems
Multiple time scale dynamics
Geometric singular perturbation theory for ordinary differential equations
Singular perturbation methods for ordinary differential equations
Singularly perturbed ordinary differential equations with nonautonomous fast dynamics
On the asymptotical behavior of nonautonomous dynamical systems
Weak topologies for Carathéodory differential equations: continuous dependence, exponential dichotomy and attractors
Normally hyperbolic invariant manifolds. The noncompact case
Averaging of time-varying differential equations revisited
Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
Almost automorphic and almost periodic dynamics in skew-product semiflows
EQUI-ATTRACTION AND THE CONTINUOUS DEPENDENCE OF ATTRACTORS ON PARAMETERS
Singularly perturbed ordinary differential equations with dynamic limits
Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics
Noise-Induced Phenomena in Slow-Fast Dynamical Systems
Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping
Forwards attraction properties in scalar non-autonomous linear–dissipative parabolic PDEs. The case of null upper Lyapunov exponent
Averaging methods in nonlinear dynamical systems
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Rate-induced tracking for concave or \(d\)-concave transitions in a time-dependent environment with application in ecology
Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations

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