Boolean Systems

1. Boolean Functions
2. Morphisms of Generator Functions
3. State Portraits
4. Signals
5. Computation Functions and Progressiveness
6. Flows and Equations of Evolution
7. Systems
8. Morphisms of Flows
9. Nullclines
10. Fixed points
11. Sources, Isolated Fixed Points, Transient Points, Sinks
12. Sets of Reachable States
13. Dependence on the Initial Conditions
14. Periodicity
15. Path Connectedness and Topological Transitivity
16. Chaos
17. Nonwandering Points and Poisson Stability
18. Invariance
19. Relatively Isolated Sets, Isolated Set
20. Maximal Invariant Subset
21. Minimal Invariant Superset
22. Minimal Invariant Subset
23. Connectedness and Separation
24. Basins of Attraction
25. The Basins of Attraction of the States
26. Local Basins of Attraction
27. Local Basins of Attraction of the States
28. Attractors
29. Stability
30. Time Reversal Symmetry
31. Generator functions with one parameter
32. Input Flows and Equations of Evolution
33. Input systems
34. The Fundamental (Operating) Mode
35. Combinational Systems with One Level
36. Combinational systems
37. Wires, Gates, and Flip Flops
Appendix
A. Continuous Time
B. Theory of Cheng
C. Notations

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• Matemática aplicada

Boolean function; state portrait; flow; equation of evolution; dynamical system; Boolean Network; discrete time