A note on stronger forms of sensitivity for inverse limit dynamical systems

Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, th...
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Autor*in:	Zhu, Hai [verfasserIn] Liu, Lei [verfasserIn] Wang, Jian [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	inverse limit dynamical system syndetically sensitive cofinitely sensitive ergodically sensitive multi-sensitive

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2015(2015), 1 vom: 28. März
Übergeordnetes Werk:	volume:2015 ; year:2015 ; number:1 ; day:28 ; month:03

Links:	Volltext

DOI / URN:	10.1186/s13662-015-0425-7

Katalog-ID:	SPR032094612

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520			\|a Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive.
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936	b	k	\|a 31.49 \|q ASE
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952			\|d 2015 \|j 2015 \|e 1 \|b 28 \|c 03

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allfields	10.1186/s13662-015-0425-7 doi (DE-627)SPR032094612 (SPR)s13662-015-0425-7-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Zhu, Hai verfasserin aut A note on stronger forms of sensitivity for inverse limit dynamical systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive. inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213 Liu, Lei verfasserin aut Wang, Jian verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2015(2015), 1 vom: 28. März (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2015 year:2015 number:1 day:28 month:03 https://dx.doi.org/10.1186/s13662-015-0425-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2015 2015 1 28 03
spelling	10.1186/s13662-015-0425-7 doi (DE-627)SPR032094612 (SPR)s13662-015-0425-7-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Zhu, Hai verfasserin aut A note on stronger forms of sensitivity for inverse limit dynamical systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive. inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213 Liu, Lei verfasserin aut Wang, Jian verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2015(2015), 1 vom: 28. März (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2015 year:2015 number:1 day:28 month:03 https://dx.doi.org/10.1186/s13662-015-0425-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2015 2015 1 28 03
allfields_unstemmed	10.1186/s13662-015-0425-7 doi (DE-627)SPR032094612 (SPR)s13662-015-0425-7-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Zhu, Hai verfasserin aut A note on stronger forms of sensitivity for inverse limit dynamical systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive. inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213 Liu, Lei verfasserin aut Wang, Jian verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2015(2015), 1 vom: 28. März (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2015 year:2015 number:1 day:28 month:03 https://dx.doi.org/10.1186/s13662-015-0425-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2015 2015 1 28 03
allfieldsGer	10.1186/s13662-015-0425-7 doi (DE-627)SPR032094612 (SPR)s13662-015-0425-7-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Zhu, Hai verfasserin aut A note on stronger forms of sensitivity for inverse limit dynamical systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive. inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213 Liu, Lei verfasserin aut Wang, Jian verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2015(2015), 1 vom: 28. März (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2015 year:2015 number:1 day:28 month:03 https://dx.doi.org/10.1186/s13662-015-0425-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2015 2015 1 28 03
allfieldsSound	10.1186/s13662-015-0425-7 doi (DE-627)SPR032094612 (SPR)s13662-015-0425-7-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Zhu, Hai verfasserin aut A note on stronger forms of sensitivity for inverse limit dynamical systems 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive. inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213 Liu, Lei verfasserin aut Wang, Jian verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2015(2015), 1 vom: 28. März (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2015 year:2015 number:1 day:28 month:03 https://dx.doi.org/10.1186/s13662-015-0425-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2015 2015 1 28 03
language	English
source	Enthalten in Advances in difference equations 2015(2015), 1 vom: 28. März volume:2015 year:2015 number:1 day:28 month:03
sourceStr	Enthalten in Advances in difference equations 2015(2015), 1 vom: 28. März volume:2015 year:2015 number:1 day:28 month:03
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	inverse limit dynamical system syndetically sensitive cofinitely sensitive ergodically sensitive multi-sensitive
dewey-raw	510
isfreeaccess_bool	true
container_title	Advances in difference equations
authorswithroles_txt_mv	Zhu, Hai @@aut@@ Liu, Lei @@aut@@ Wang, Jian @@aut@@
publishDateDaySort_date	2015-03-28T00:00:00Z
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author	Zhu, Hai
spellingShingle	Zhu, Hai ddc 510 bkl 31.49 misc inverse limit dynamical system misc syndetically sensitive misc cofinitely sensitive misc ergodically sensitive misc multi-sensitive A note on stronger forms of sensitivity for inverse limit dynamical systems
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topic_title	510 610 ASE 31.49 bkl A note on stronger forms of sensitivity for inverse limit dynamical systems inverse limit dynamical system (dpeaa)DE-He213 syndetically sensitive (dpeaa)DE-He213 cofinitely sensitive (dpeaa)DE-He213 ergodically sensitive (dpeaa)DE-He213 multi-sensitive (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc inverse limit dynamical system misc syndetically sensitive misc cofinitely sensitive misc ergodically sensitive misc multi-sensitive
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title	A note on stronger forms of sensitivity for inverse limit dynamical systems
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title_full	A note on stronger forms of sensitivity for inverse limit dynamical systems
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title_sort	note on stronger forms of sensitivity for inverse limit dynamical systems
title_auth	A note on stronger forms of sensitivity for inverse limit dynamical systems
abstract	Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive.
abstractGer	Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive.
abstract_unstemmed	Abstract In this paper we study stronger forms of sensitivity for inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of stronger forms of sensitivity between inverse limit dynamical systems and original systems. More precisely, the inverse limit system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive) if and only if original system is syndetically sensitive (resp. cofinitely sensitive, ergodically sensitive, multi-sensitive). Also, we prove that the inverse limit system is syndetically transitive if and only if original system is syndetically transitive.
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title_short	A note on stronger forms of sensitivity for inverse limit dynamical systems
url	https://dx.doi.org/10.1186/s13662-015-0425-7
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A note on stronger forms of sensitivity for inverse limit dynamical systems

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