Positive topological entropy for multi-bump magnetic fields
classification
🧮 math.DS
math-phmath.MP
keywords
entropymagneticpositivetopologicalcarrieschargedconditionsconsists
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We study the dynamics of a charged particle in a planar magnetic field which consists of $n\geq 2$ disjoint localized peaks. We show that, under mild geometric conditions, this system is semi-conjugated to the full shift on $n$ symbols and, hence, carries positive topological entropy.
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