2 articles for “topological conjugacy”

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Research ArticleOpen accessPhrase in the titleFlows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy RelationTahir Ahmad, Tan Lit KenProblem statement: Flows of continuous-time dynamical systems with the same number of equilibrium points and trajectories, and which has no periodic orbit form an equivalence class under the topological conjugacy relation. Approach: Arbitrarily, two trajectories resulting from two distinct flows of this type of dynamical systems were written as a set of points (orbit). A homeomorphism which maps between these … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,254 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleTopological Conjugacy Between Seizure and Flat ElectroencephalographyTahir Ahmad, Tan Lit KenProblem statement: Seizure and Flat EEG which are modeled as two distinct dynamical systems share the same dynamics in the topological viewpoint. Approach: Motions of seizure and Flat EEG of the dynamical systems were written as set points. A function that maps between these two sets is then built. By using topological conjugacy, they are shown to share the same … …American Journal of Applied Sciences, Vol. 7, Issue 11 · 8 Nov 2010 · 6,760 accessesView PDF Cite