Found 26 Documents (Results 1–26)
Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation. (English) Zbl 1535.37076
Persistence of periodic orbits under state-dependent delayed perturbations: computer-assisted proofs. (English) Zbl 1522.34094
Resonances and phase locking phenomena for foliation preserving torus maps. (English) Zbl 1515.37060
Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems. (English) Zbl 1504.37061
Finite element approximation of invariant manifolds by the parameterization method. (English) Zbl 1538.65358
Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE. (English) Zbl 1508.34076
Reviewer: Bernhard Lani-Wayda (Gießen)
Validated integration of differential equations with state-dependent delay. (English) Zbl 1502.65039
A general method for computer-assisted proofs of periodic solutions in delay differential problems. (English) Zbl 1504.34191
Reviewer: Ábel Garab (Klagenfurt)
Melnikov-type theorem for time reversible system. (English) Zbl 1495.34065
Reviewer: Michal Veselý (Brno)
Parameterization method for state-dependent delay perturbation of an ordinary differential equation. (English) Zbl 1482.34193
Reviewer: Anatoli F. Ivanov (Lehman)
Expansions in the delay of quasi-periodic solutions for state dependent delay equations. (English) Zbl 1514.34128
Parameterization method for unstable manifolds of standing waves on the line. (English) Zbl 1473.74075
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. (English) Zbl 1448.70054
Construction of quasi-periodic solutions for delayed perturbation differential equations. (English) Zbl 1442.34113
Reviewer: Syed Abbas (Mandi)
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type. (English) Zbl 1476.37041
Validated numerics for equilibria of analytic vector fields: invariant manifolds and connecting orbits. (English) Zbl 1409.65109
van den Berg, Jan Bouwe (ed.) et al., Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 74, 27-80 (2018).
Reviewer: Stathis Antoniou (Athína)
Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions. (English) Zbl 1402.32018
MSC:
32H50
Parameterization method for unstable manifolds of delay differential equations. (English) Zbl 1397.34123
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case. (English) Zbl 1384.34080
Reviewer: Zhanyuan Hou (London)
Resonance phenomena in a scalar delay differential equation with two state-dependent delays. (English) Zbl 1371.34115
Exponential stability for nonautonomous functional differential equations with state-dependent delay. (English) Zbl 1381.37027
Reviewer: Yuming Chen (Waterloo)
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