About: Quasiperiodic motion

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In mathematics and theoretical physics, quasiperiodic motion is in rough terms the type of motion executed by a dynamical system containing a finite number (two or more) of incommensurable frequencies. That is, if we imagine that the phase space is modelled by a torus T (that is, the variables are periodic like angles), the trajectory of the system is modelled by a curve on T that wraps around the torus without ever exactly coming back on itself. A quasiperiodic function on the real line is the type of function (continuous, say) obtained from a function on T, by means of a curve R → T

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rdfs:label	Moto quasi-periodico (it) Quasiperiodic motion (en) Movimento quasiperiódico (pt)
rdfs:comment	In matematica e fisica teorica, il moto quasi-periodico è un tipo di moto che si verifica in un sistema dinamico caratterizzato da un numero finito (due o più) frequenze tra loro incommensurabili. Se lo spazio delle fasi del sistema è modelizzato da un toro T, la traiettoria del sistema segue una curva su T che si avvolge intorno al toro senza richiudersi su se stessa. (it) Movimento quasiperiódico, em matemática e física teórica, de forma geral, é o tipo de movimento executado por um sistema dinâmico contendo duas frequências incomensuráveis. (pt) In mathematics and theoretical physics, quasiperiodic motion is in rough terms the type of motion executed by a dynamical system containing a finite number (two or more) of incommensurable frequencies. That is, if we imagine that the phase space is modelled by a torus T (that is, the variables are periodic like angles), the trajectory of the system is modelled by a curve on T that wraps around the torus without ever exactly coming back on itself. A quasiperiodic function on the real line is the type of function (continuous, say) obtained from a function on T, by means of a curve R → T (en)
dct:subject	Dynamical systems
Wikipage page ID	1590390 (xsd:integer)
Wikipage revision ID	1024802616 (xsd:integer)
Link from a Wikipage to another Wikipage	Almost periodic function Curve Dynamical system Complex analysis Mathematics Theta function Commensurability (mathematics) Phase space Quasiperiodicity Theoretical physics Torus Euclidean space Dynamical systems Real line Quasi-period Period lattice Weierstrass zeta function
sameAs	Quasiperiodic motion Quasiperiodic motion Quasiperiodic motion Quasiperiodic motion Quasiperiodic motion Quasiperiodic motion
dbp:wikiPageUsesTemplate	dbt:More_citations_needed dbt:Short_description
has abstract	In mathematics and theoretical physics, quasiperiodic motion is in rough terms the type of motion executed by a dynamical system containing a finite number (two or more) of incommensurable frequencies. That is, if we imagine that the phase space is modelled by a torus T (that is, the variables are periodic like angles), the trajectory of the system is modelled by a curve on T that wraps around the torus without ever exactly coming back on itself. A quasiperiodic function on the real line is the type of function (continuous, say) obtained from a function on T, by means of a curve R → T which is linear (when lifted from T to its covering Euclidean space), by composition. It is therefore oscillating, with a finite number of underlying frequencies. (NB the sense in which theta functions and the Weierstrass zeta function in complex analysis are said to have quasi-periods with respect to a period lattice is something distinct from this.) The theory of almost periodic functions is, roughly speaking, for the same situation but allowing T to be a torus with an infinite number of dimensions. (en) In matematica e fisica teorica, il moto quasi-periodico è un tipo di moto che si verifica in un sistema dinamico caratterizzato da un numero finito (due o più) frequenze tra loro incommensurabili. Se lo spazio delle fasi del sistema è modelizzato da un toro T, la traiettoria del sistema segue una curva su T che si avvolge intorno al toro senza richiudersi su se stessa. (it) Movimento quasiperiódico, em matemática e física teórica, de forma geral, é o tipo de movimento executado por um sistema dinâmico contendo duas frequências incomensuráveis. (pt)
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prov:wasDerivedFrom	wikipedia-en:Quasiperiodic_motion?oldid=1024802616&ns=0
page length (characters) of wiki page	1676 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quasiperiodic_motion
is Link from a Wikipage to another Wikipage of	Index of physics articles (Q) Libration point orbit Pearson–Anson effect Quasiperiodic function N-body problem Crisis (dynamical systems) Vague torus Quasiperiodicity Linear flow on the torus Vortex-induced vibration Earth Kolmogorov–Arnold–Moser theorem Chemical reaction network theory Spectral submanifold Quasi-periodic motion
is Wikipage redirect of	Quasi-periodic motion
is foaf:primaryTopic of	wikipedia-en:Quasiperiodic_motion

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