Tag: Dynamical systems theory
Periodic solutions may continue under small electromagnetic perturbations
What the study found The paper shows that non-circular periodic solutions of an unperturbed central force problem may be continued to periodic solutions when small electromagnetic perturbations are introduced. The authors consider both fixed-period problems and, when the perturbation does not depend on time, fixed-energy problems. Why the authors say this matters The authors state…
Recurrence sets have full Hausdorff dimension beyond specification
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in MathematicsWhat the study found The authors introduce a property called (W′)-specification for subshifts, which are symbolic dynamical systems, and show that any recurrence set of a subshift with this property has full Hausdorff dimension. They also report that this applies to a wide class of subshifts without specification, including all S-gap shifts, some coded shifts,…