• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索
High Impact Results & Cited Count Trend for Year Keyword Cloud and Partner Relationship
Sort by:
Default
  • Default
  • Title
  • Year
  • WOS Cited Count
  • Impact factor
  • Ascending
  • Descending
< Page ,Total 2 >
Normal Forms for Difference and Differential Systems SCIE
期刊论文 | 2022 , 21 (2) | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Abstract&Keyword Cite

Abstract :

In this paper, we investigate parameterized difference systems, which can yield normal forms of vector fields and diffeomorphisms together. Using it, the normal forms of periodic difference and differential systems can be achieved uniformly.

Keyword :

Normal form Normal form Differential system Differential system Poincare domain Poincare domain Difference system Difference system

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Liu, Meijia , Wu, Hao . Normal Forms for Difference and Differential Systems [J]. | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2022 , 21 (2) .
MLA Ren, Zhihua 等. "Normal Forms for Difference and Differential Systems" . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 21 . 2 (2022) .
APA Ren, Zhihua , Liu, Meijia , Wu, Hao . Normal Forms for Difference and Differential Systems . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2022 , 21 (2) .
Export to NoteExpress RIS BibTex
COMMENTS ON POINCAR?E THEOREM FOR QUASI-PERIODIC SYSTEMS SCIE
期刊论文 | 2022 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Abstract&Keyword Cite

Abstract :

We establish Poincare ' type theorems of normal forms for quasi periodic systems near the invariant torus based on the exponential dichotomy spectra of linear parts at the normal direction.

Keyword :

Normal form Normal form quasi-periodic system quasi-periodic system Poincare? theorem Poincare? theorem Key words and phrases Key words and phrases

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Wang, Tian , Wu, Hao . COMMENTS ON POINCAR?E THEOREM FOR QUASI-PERIODIC SYSTEMS [J]. | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2022 .
MLA Ren, Zhihua 等. "COMMENTS ON POINCAR?E THEOREM FOR QUASI-PERIODIC SYSTEMS" . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2022) .
APA Ren, Zhihua , Wang, Tian , Wu, Hao . COMMENTS ON POINCAR?E THEOREM FOR QUASI-PERIODIC SYSTEMS . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2022 .
Export to NoteExpress RIS BibTex
A Siegel theorem for periodic difference systems SCIE
期刊论文 | 2021 , 27 (5) , 698-711 | JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
WoS CC Cited Count: 1
Abstract&Keyword Cite

Abstract :

In this paper, we extend the Siegel's theorem for analytically reducing periodic difference system to a linear one under certain small-divisor condition.

Keyword :

periodic difference systems periodic difference systems analytic linearization analytic linearization Siegel's theorem Siegel's theorem Normal form Normal form

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Wang, Tian , Ren, Zhihua . A Siegel theorem for periodic difference systems [J]. | JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS , 2021 , 27 (5) : 698-711 .
MLA Wang, Tian 等. "A Siegel theorem for periodic difference systems" . | JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 27 . 5 (2021) : 698-711 .
APA Wang, Tian , Ren, Zhihua . A Siegel theorem for periodic difference systems . | JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS , 2021 , 27 (5) , 698-711 .
Export to NoteExpress RIS BibTex
Polynomial Normal Forms for Some Germs of Nonstrongly 1-Resonant Diffeomorphisms SCIE
期刊论文 | 2015 , 25 (13) | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Abstract&Keyword Cite

Abstract :

We study in this paper a class of smoothly finite determined germs of diffeomorphisms which have infinitely many resonant relations near a nonstrongly 1-resonant fixed point on R-3 and derive the simplest normal forms of such germs with nondegenerated nonlinear parts.

Keyword :

diffeomorphism diffeomorphism Finite determinacy Finite determinacy normal form normal form nonstrongly 1-resonant nonstrongly 1-resonant

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Guo, Lingling , Ren, Zhihua . Polynomial Normal Forms for Some Germs of Nonstrongly 1-Resonant Diffeomorphisms [J]. | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2015 , 25 (13) .
MLA Guo, Lingling 等. "Polynomial Normal Forms for Some Germs of Nonstrongly 1-Resonant Diffeomorphisms" . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 25 . 13 (2015) .
APA Guo, Lingling , Ren, Zhihua . Polynomial Normal Forms for Some Germs of Nonstrongly 1-Resonant Diffeomorphisms . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2015 , 25 (13) .
Export to NoteExpress RIS BibTex
On classification of the Poincare type maps on R-3 SCIE
期刊论文 | 2015 , 139 (5) , 582-598 | BULLETIN DES SCIENCES MATHEMATIQUES
Abstract&Keyword Cite

Abstract :

In this paper we study polynomial normal forms for maps on R-3. We obtain a complete classification of all diffeomorphisms F(x) on R-3 having the Poincare type fixed point O. The simplest resonant polynomial normal forms, namely, normal forms with the possible lowest degree together with the minimal number of parameters, are explicitly given. (C) 2015 Elsevier Masson SAS. All rights reserved.

Keyword :

Resonance Resonance Conjugacy Conjugacy Smooth normal form Smooth normal form Poincare type map Poincare type map

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Xia, Li , Yang, Jiazhong . On classification of the Poincare type maps on R-3 [J]. | BULLETIN DES SCIENCES MATHEMATIQUES , 2015 , 139 (5) : 582-598 .
MLA Ren, Zhihua 等. "On classification of the Poincare type maps on R-3" . | BULLETIN DES SCIENCES MATHEMATIQUES 139 . 5 (2015) : 582-598 .
APA Ren, Zhihua , Xia, Li , Yang, Jiazhong . On classification of the Poincare type maps on R-3 . | BULLETIN DES SCIENCES MATHEMATIQUES , 2015 , 139 (5) , 582-598 .
Export to NoteExpress RIS BibTex
Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point SCIE
期刊论文 | 2014 , 413 (1) , 476-481 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
WoS CC Cited Count: 1
Abstract&Keyword Cite

Abstract :

In this paper we study polynomial normal forms and smooth (C-infinity) classification of one kind of diffeomorphisms which have infinite many resonant relations but are finitely determined. We derive a complete list of normal forms of all such germs with arbitrary degeneracy of their nonlinear parts. (C) 2013 Elsevier Inc. All rights reserved.

Keyword :

Normal form Normal form Strongly 1-resonant Strongly 1-resonant Diffeomorphism Diffeomorphism

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Yan, Shuo , Yang, Jiazhong . Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point [J]. | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2014 , 413 (1) : 476-481 .
MLA Ren, Zhihua 等. "Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point" . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 413 . 1 (2014) : 476-481 .
APA Ren, Zhihua , Yan, Shuo , Yang, Jiazhong . Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point . | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , 2014 , 413 (1) , 476-481 .
Export to NoteExpress RIS BibTex
On smooth conjugacy of hyperbolic diffeomorphism germs SCIE
期刊论文 | 2013 , 137 (5) , 584-588 | BULLETIN DES SCIENCES MATHEMATIQUES
Abstract&Keyword Cite

Abstract :

We prove that on R-n, under the given algebraic conditions imposed on eigenvalues of their linear approximation operators, any two hyperbolic diffeomorphism germs with generic nonlinear parts are C-1 conjugate to each other if and only if their linear parts are similar. (C) 2012 Elsevier Masson SAS. All rights reserved.

Keyword :

C-1 conjugacy C-1 conjugacy Resonance Resonance Diffeomorphisms Diffeomorphisms

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Peng, Zhaoxia . On smooth conjugacy of hyperbolic diffeomorphism germs [J]. | BULLETIN DES SCIENCES MATHEMATIQUES , 2013 , 137 (5) : 584-588 .
MLA Ren, Zhihua 等. "On smooth conjugacy of hyperbolic diffeomorphism germs" . | BULLETIN DES SCIENCES MATHEMATIQUES 137 . 5 (2013) : 584-588 .
APA Ren, Zhihua , Peng, Zhaoxia . On smooth conjugacy of hyperbolic diffeomorphism germs . | BULLETIN DES SCIENCES MATHEMATIQUES , 2013 , 137 (5) , 584-588 .
Export to NoteExpress RIS BibTex
ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON R-3 SCIE
期刊论文 | 2013 , 23 (6) | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Abstract&Keyword Cite

Abstract :

In this note, we study smooth classification of all germs of 0-resonant diffeomorphisms on R-3 having generic nonlinear parts. We prove that, for the Poincare type diffeomorphisms, except for one germ, any two such germs are at least C-3 conjugated if and only if their linear parts are similar; and for the non-Poincare ones, any such two germs can be C-infinity conjugated provided that they have similar linear parts.

Keyword :

Poincare type diffeomorphisms Poincare type diffeomorphisms hyperbolic diffeomorphisms hyperbolic diffeomorphisms smooth conjugacy smooth conjugacy 0-resonant diffeomorphisms 0-resonant diffeomorphisms

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Yang, Jiazhong , Yu, Fuwang . ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON R-3 [J]. | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2013 , 23 (6) .
MLA Ren, Zhihua 等. "ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON R-3" . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 23 . 6 (2013) .
APA Ren, Zhihua , Yang, Jiazhong , Yu, Fuwang . ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON R-3 . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2013 , 23 (6) .
Export to NoteExpress RIS BibTex
Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms SCIE
期刊论文 | 2013 , 28 (2) , 251-262 | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
Abstract&Keyword Cite

Abstract :

In this paper, we study the smooth classifications of germs of diffeomorphisms near a hyperbolic fixed point based on the smooth moduli-free polynomial normal forms of the corresponding diffeomorphisms and give the following result. On R-n, n <= 5, with two kinds of exceptions, any two hyperbolic germs of diffeomorphisms with generic nonlinear parts are at least C-1 conjugated if and only if their linear parts are similar.

Keyword :

smooth conjugacy smooth conjugacy moduli-free normal form moduli-free normal form hyperbolic fixed point hyperbolic fixed point

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhihua , Peng, Zhaoxia . Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms [J]. | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL , 2013 , 28 (2) : 251-262 .
MLA Ren, Zhihua 等. "Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms" . | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 28 . 2 (2013) : 251-262 .
APA Ren, Zhihua , Peng, Zhaoxia . Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms . | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL , 2013 , 28 (2) , 251-262 .
Export to NoteExpress RIS BibTex
Linearization of some formal maps on Cn EI CSCD PKU
期刊论文 | 2013 , 39 (1) , 153-156 | Journal of Beijing University of Technology
Abstract&Keyword Cite

Abstract :

To discuss the linearization of nonlinear dynamical systems, some formal maps with the so-called weak-resonant nonlinear parts were studied by using classical normal form theory. The conclusion is that in such cases the maps are linearizable near their fixed points, regardless of resonant relations the eigenvalues of the maps admit.

Keyword :

Eigenvalues and eigenfunctions Eigenvalues and eigenfunctions Nonlinear dynamical systems Nonlinear dynamical systems Linearization Linearization Dynamical systems Dynamical systems

Cite:

Copy from the list or Export to your reference management。

GB/T 7714 Ren, Zhi-Hua , Liu, Yan-Hua , Yan, Shuo . Linearization of some formal maps on Cn [J]. | Journal of Beijing University of Technology , 2013 , 39 (1) : 153-156 .
MLA Ren, Zhi-Hua 等. "Linearization of some formal maps on Cn" . | Journal of Beijing University of Technology 39 . 1 (2013) : 153-156 .
APA Ren, Zhi-Hua , Liu, Yan-Hua , Yan, Shuo . Linearization of some formal maps on Cn . | Journal of Beijing University of Technology , 2013 , 39 (1) , 153-156 .
Export to NoteExpress RIS BibTex
10| 20| 50 per page
< Page ,Total 2 >

Export

Results:

Selected

to

Format:
Online/Total:345/5947329
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.