Name
Abstract | ||
|---|---|---|
The classical dynamics concepts of recurrence and attractor are analysed in the basic mathematical setting of state transition systems, where both time and space are discrete, and no structure is assumed on the state space besides a binary transition relation. This framework proves useful to the dynamical analysis of computations and biomolecular processes. Here a relational formulation of this framework is presented, where the concepts of attractor and recurrence surface in two variants, respectively relating to the two fundamental modalities. A strong link between recurrence and both existence and extent of attractors, in either variant, is established by a novel characterization theorem. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11828563_24 | RelMiCS |
Keywords | Field | DocType |
novel characterization theorem,state transition dynamic,fundamental modality,basic mathematical setting,classical dynamics concept,biomolecular process,dynamical analysis,relational view,binary transition relation,state space,recurrence surface,state transition system,state transition,dynamic analysis | Transition system,Attractor,Discrete mathematics,Binary relation,Spacetime,Relational algebra,Discrete time and continuous time,State space,Recurrence quantification analysis,Mathematics | Conference |
Volume | ISSN | ISBN |
4136 | 0302-9743 | 3-540-37873-1 |
Citations | PageRank | References |
3 | 0.44 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Scollo | 1 | 3 | 0.44 |
| Giuditta Franco | 2 | 136 | 18.34 |
| Vincenzo Manca | 3 | 562 | 59.74 |