Topological Characterization of Deterministic Chaos: Enforcing Orientation Preservation

The determinism principle, which states that dynamical state completely determines future time evolution, is a keystone of nonlinear dynamics and chaos theory. Since it precludes that two state space trajectories intersect, it is a core ingredient of a topological analysis of chaos based on a knot-t...

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Bibliographische Detailangaben
Veröffentlicht in:Philosophical Transactions: Mathematical, Physical and Engineering Sciences. - The Royal Society. - 366(2008), 1865, Seite 559-567
1. Verfasser: Lefranc, Marc (VerfasserIn)
Weitere Verfasser: Morant, Pierre-Emmanuel, Nizette, Michel
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2008
Zugriff auf das übergeordnete Werk:Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Schlagworte:Chaos Unstable periodic orbits Knot theory Topology Entropy Applied sciences Philosophy Physical sciences Mathematics Behavioral sciences Information science