Travelling about without any clear destination:
— She followed him in his wanderings and looked after him.

synonyms: roving, vagabondage.

Roget 279: deviation; swerving etc. v.; obliquation^†, warp, refraction; flection^†, flexion; sweep; deflection, deflexure^†; declination.    diversion, digression, depart from, aberration; divergence etc. 291; zigzag; detour etc. (circuit) 629; divagation.    [Desultory motion] wandering etc. v.; vagrancy, evagation^†; bypaths and crooked ways; byroad.    [Motion sideways, oblique motion] sidling etc. v.; knight's move at chess.    ... show more

Roget 503: disordered reason, disordered intellect; diseased mind, unsound mind, abnormal mind; derangement, unsoundness; psychosis; neurosis; cognitive disorder; affective disorder^†.    insanity, lunacy; madness etc. adj.; mania, rabies, furor, mental alienation, aberration; paranoia, schizophrenia; dementation^†, dementia, demency^†; phrenitis^†, phrensy^†, frenzy, raving, incoherence, wandering, delirium, calenture of the brain^†; delusion, hallucination; lycanthropy^†; brain storm^†.    vertigo, dizziness, swimming; sunstroke, coup de soleil [Fr.], siriasis^†.    fanaticism, infatuation, craze; oddity, eccentricity, twist, monomania (caprice) 608; kleptodipsomania^†; hypochondriasis [Med.] etc. (low spirits) 837; melancholia, depression, clinical depression, severe depression; hysteria; amentia^†.    screw loose, tile loose, slate loose; bee in one's bonnet, rats in the upper story.    dotage etc. (imbecility) 499.    ... show more

Dutch: landloperij
Polish: wędrowanie

Migratory:
— Wandering tribes.

synonyms: mobile, nomadic, peregrine, roving.

Roget 83: uncomformable, exceptional; abnormal, abnormous^†; anomalous, anomalistic; out of order, out of place, out of keeping, out of tune, out of one's element; irregular, arbitrary; teratogenic; lawless, informal, aberrant, stray, wandering, wanton; peculiar, exclusive, unnatural, eccentric, egregious; out of the beaten track, off the beaten track, out of the common, out of the common run; beyond the pale of, out of the pale of; misplaced; funny.    unusual, unaccustomed, uncustomary, unwonted, uncommon; rare, curious, odd, extraordinary, out of the ordinary; strange, monstrous; wonderful etc. 870; unexpected, unaccountable; outre [Fr.], out of the way, remarkable, noteworthy; queer, quaint, nondescript, none such, sui generis [Lat.]; unfashionable; fantastic, grotesque, bizarre; outlandish, exotic, tombe des nues [Fr.], preternatural; denaturalized^†.    heterogeneous, heteroclite [Gramm.], amorphous, mongrel, amphibious, epicene, half blood, hybrid; androgynous, androgynal^†; asymmetric etc. 243; adelomorphous^†, bisexual, hermaphrodite, monoclinous^†.    qualified etc. 469.    singular, unique, one-of-a-kind.    newfangled, novel, non-classical; original, unconventional, unheard of, unfamiliar; undescribed, unprecedented, unparalleled, unexampled.    ... show more

Of a path e.g.:
— The river followed its wandering course.

synonyms: meandering, rambling, winding.

Roget 503: insane, mad, lunatic, loony [Coll.]; crazy, crazed, aliene^†, non compos mentis; not right, cracked, touched; bereft of reason; all possessed, unhinged, unsettled in one's mind; insensate, reasonless, beside oneself, demented, daft; phrenzied^†, frenzied, frenetic; possessed, possessed with a devil; deranged, maddened, moonstruck; shatterpated^†; mad-brained, scatter brained, shatter brained, crackbrained; touched, tetched [Coll.]; off one's head.    [behavior suggesting insanity] maniacal; delirious, lightheaded, incoherent, rambling, doting, wandering; frantic, raving, stark staring mad, stark raving mad, wild-eyed, berserk; delusional, hallucinatory.    [behavior somewhat resembling insanity] corybantic^†, dithyrambic; rabid, giddy, vertiginous, wild; haggard, mazed; flighty; distracted, distraught; depressed; agitated, hyped up; bewildered etc. (uncertain) 475.    mad as a March hare, mad as a hatter; of unsound mind etc. n.; touched in one's head, wrong in one's head, not right in one's head, not in one's right mind, not right in one's wits, upper story; out of one's mind, out of one's wits, out of one's skull [Coll.], far gone, out of one's senses, out of one's wits; not in one's right mind.    fanatical, infatuated, odd, eccentric; hypped^†, hyppish^†; spaced out [Coll.].    imbecile, silly, etc. 499.    ... show more

Having no fixed course:
— His life followed a wandering course.

synonyms: erratic, planetary.