Search results for "TSAI model"

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Superstable cycles for antiferromagnetic Q-state Potts and three-site interaction Ising models on recursive lattices

2013

We consider the superstable cycles of the Q-state Potts (QSP) and the three-site interaction antiferromagnetic Ising (TSAI) models on recursive lattices. The rational mappings describing the models' statistical properties are obtained via the recurrence relation technique. We provide analytical solutions for the superstable cycles of the second order for both models. A particular attention is devoted to the period three window. Here we present an exact result for the third order superstable orbit for the QSP and a numerical solution for the TSAI model. Additionally, we point out a non-trivial connection between bifurcations and superstability: in some regions of parameters a superstable cyc…

Pure mathematicsSymbolic dynamicsPeriod three window; QSP model; Superstability; Symbolic dynamics; TSAI modelFOS: Physical sciencesSuperstabilityQSP modelOrder (group theory)Condensed Matter - Statistical MechanicsBifurcationTSAI modelMathematicsNumerical AnalysisRecurrence relationStatistical Mechanics (cond-mat.stat-mech)Applied MathematicsMathematical analysisSymbolic dynamicsState (functional analysis)Nonlinear Sciences - Chaotic DynamicsConnection (mathematics)Mathematics::LogicModeling and SimulationIsing modelPeriod three windowChaotic Dynamics (nlin.CD)Orbit (control theory)
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