The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Andrejs Reinfelds

doi:10.1007/BF00952086

The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Andrejs Reinfelds^*

^*Šī darba korespondējošais autors

Latvian Academy of Sciences

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

7 Atsauces (Scopus)

Kopsavilkums

The main result of this paper is on decoupling by means of a topological transformation of a homeomorphism which admits invariant sets. A theorem of conjugacy of a given possible noninvertible mapping, which admits an invariant set, to a simpler mapping than the given one in terms of decoupling is also proved. The results are valid in an arbitrary complete metric space.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	933-955
Lapu skaits	23
Žurnāls	Zeitschrift fur Angewandte Mathematik und Physik
Sējums	45
Izdevuma numurs	6
DOIs	https://doi.org/10.1007/BF00952086
Publikācijas statuss	Publicēts - nov. 1994
Ārēji publicēts	Jā

Piekļuve Dokumentiem

10.1007/BF00952086

Citi faili un saites

Saite uz publikāciju Scopus

Citēt šo

@article{adbfac2c544244848aeb2b943a32c0be,

title = "The reduction principle for discrete dynamical and semidynamical systems in metric spaces",

abstract = "The main result of this paper is on decoupling by means of a topological transformation of a homeomorphism which admits invariant sets. A theorem of conjugacy of a given possible noninvertible mapping, which admits an invariant set, to a simpler mapping than the given one in terms of decoupling is also proved. The results are valid in an arbitrary complete metric space.",

author = "Andrejs Reinfelds",

year = "1994",

month = nov,

doi = "10.1007/BF00952086",

language = "English",

volume = "45",

pages = "933--955",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Springer International Publishing",

number = "6",

}

TY - JOUR

T1 - The reduction principle for discrete dynamical and semidynamical systems in metric spaces

AU - Reinfelds, Andrejs

PY - 1994/11

Y1 - 1994/11

N2 - The main result of this paper is on decoupling by means of a topological transformation of a homeomorphism which admits invariant sets. A theorem of conjugacy of a given possible noninvertible mapping, which admits an invariant set, to a simpler mapping than the given one in terms of decoupling is also proved. The results are valid in an arbitrary complete metric space.

AB - The main result of this paper is on decoupling by means of a topological transformation of a homeomorphism which admits invariant sets. A theorem of conjugacy of a given possible noninvertible mapping, which admits an invariant set, to a simpler mapping than the given one in terms of decoupling is also proved. The results are valid in an arbitrary complete metric space.

UR - https://www.scopus.com/pages/publications/0043029488

U2 - 10.1007/BF00952086

DO - 10.1007/BF00952086

M3 - Article

AN - SCOPUS:0043029488

SN - 0044-2275

VL - 45

SP - 933

EP - 955

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 6

ER -

The reduction principle for discrete dynamical and semidynamical systems in metric spaces

Kopsavilkums

Piekļuve Dokumentiem

Citi faili un saites

Nospiedums

Citēt šo