scientific article

zbMath0659.34077MaRDI QIDQ3808507

Bernold Fiedler, John Mallet-Paret

Publication date: 1989

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002206579

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zbMATH Keywords

Lyapunov functionalglobal dynamicsMorse decompositionMorse setsscalar delay-differential equation

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Morse-Smale systems (37D15)

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Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems ⋮ Global dynamics of delay differential equations ⋮ John Mallet-Paret 60 ⋮ Delayed feedback control of a delay equation at Hopf bifurcation ⋮ Morse decompositions for delay-differential equations ⋮ Lattice structures for attractors. III ⋮ Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay ⋮ A proof of Jones' conjecture ⋮ Homoclinic bifurcation at resonant eigenvalues ⋮ On the global dynamics of attractors for scalar delay equations ⋮ Smoothing dynamic systems ⋮ Boundary layer phenomena for differential-delay equations with state- dependent time lags. I ⋮ Morse decomposition for delay-differential equations with positive feedback ⋮ Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators ⋮ Discrete Ljapunov functionals and $\omega $-limit sets ⋮ Delay-induced switched states in a slow–fast system

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