Like many grammarians, I do not find the term gerund helpful.
Aarts, Bas (2011), Oxford Modern English Grammar, does not differentiate between gerunds and participles. He refers to both as -ing participles.
Carter, Ronald and Michael McCarty (2006) Cambridge Grammar of English, do not differentiate between gerunds and participles. They refer to both as -ing forms.
Chalker, Sylvia (1984), Current English Grammar, does not differentiate between gerunds and participles in the body of the book. She refers to both as -ing forms. She writes: A distinction is often made between gerunds ('verbal nouns') and participles, which are more like verbs or adjectives. In fact the -ing form cannot be quite so neatly divided.
Huddleston, Rodney and Geoffrey Pullum (2002), The Cambridge Grammar of the English language, write: [...] we reject an analysis that has gerund and participle as different forms syncretised throughout the class of verb We have therefore just one inflectional form of the verb marked by the -ing suffix; we label it with the compound term 'gerund-participle' .
Quirk, Randolph et al (1985), A Comprehensive Grammar of the English Language, note a complex gradience of fourteen different uses of -ing- forms from nouns (deverbal count nouns , abstract-non count verbal nouns), through the traditionally named gerund to the traditionally-named (present) participle. They write of the forms that are not clearly nouns, [...] we do not find it useful to distinguish a gerund from a participle, but terminologically class all these forms as PARTICIPLES.