Morse decomposition for delay-differential equations with positive feedback

Nonlinear Analysis, Theory, Methods and Applications

Volumn 48, Issue 3, 2002, Pages 377-397

  Polner, Mónika ^a,b  

^a UNIVERSITY OF SZEGED   (Hungary)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Global attractor; Lyapunov functional; Morse decomposition; Positive feedback

Indexed keywords

FEEDBACK; FUNCTIONS; LYAPUNOV METHODS; SET THEORY;

DELAY-DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0036131621     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00191-7     Document Type: Article

References (17)

1. A note on "the discrete Lyapunov function..."
2. The discrete Lyapunov function for scalar delay differential equations
3. Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
4. On a network of two neurons with delay: Existence and attraction of phase-locked oscillation
5. Isolated invariant sets and the morse index
6. Connection between Morse sets for delay-differential equations
7. Unique periodic orbits for delayed positive feedback and the global attractor
8. Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
9. Morse decompositions for differential delay equations
10. Boundary layer phenomena for differential-delay equations with state-dependent time lags, I
11. Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
12. The Poincar-Bendixson theorem for monotone cyclic feedback systems with delay
13. On the global dynamics of attractors for scalar delay equations