On Two Systems of Difference Equations

Discrete Dynamics in Nature and Society ◽

10.1155/2010/405121 ◽

2010 ◽

Vol 2010 ◽

pp. 1-4 ◽

Cited By ~ 3

Author(s):

Bratislav Iričanin ◽

Stevo Stević

Keyword(s):

Difference Equations ◽

Two Systems

We give very short and elegant proofs of the main results in the work of Yalcinkaya et al. (2008).

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Flip bifurcations of two systems of difference equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6625 ◽

2020 ◽

Vol 43 (17) ◽

pp. 9582-9597 ◽

Cited By ~ 1

Author(s):

Qi Cheng ◽

Shengfu Deng

Keyword(s):

Difference Equations ◽

Two Systems

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On a Periodic System of Difference Equations

Abstract and Applied Analysis ◽

10.1155/2012/258718 ◽

2012 ◽

Vol 2012 ◽

pp. 1-5 ◽

Cited By ~ 3

Author(s):

Stevo Stević ◽

Josef Diblík ◽

Bratislav Iričanin ◽

Zdeněk Šmarda

Keyword(s):

Difference Equations ◽

Periodic System ◽

System Of Difference Equations ◽

Two Systems ◽

Elegant Proof

Here we give a very short and elegant proof of an extension of two recent results on global periodicity of two systems of difference equations in a work of Elsayed et al. 2012.

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Global dynamics of two systems of exponential difference equations by Lyapunov function

Advances in Difference Equations ◽

10.1186/1687-1847-2014-297 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 8

Author(s):

Abdul Qadeer Khan

Keyword(s):

Lyapunov Function ◽

Difference Equations ◽

Global Dynamics ◽

Two Systems

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Semistability of two systems of difference equations using centre manifold theory

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3904 ◽

2016 ◽

Vol 39 (18) ◽

pp. 5216-5222 ◽

Cited By ~ 8

Author(s):

N. Psarros ◽

G. Papaschinopoulos ◽

C. J. Schinas

Keyword(s):

Difference Equations ◽

Centre Manifold ◽

Two Systems ◽

Manifold Theory

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Qualitative behavior of two systems of higher-order difference equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3752 ◽

2015 ◽

Vol 39 (11) ◽

pp. 3058-3074 ◽

Cited By ~ 5

Author(s):

A. Q. Khan ◽

M. N. Qureshi

Keyword(s):

Difference Equations ◽

Higher Order ◽

Qualitative Behavior ◽

Order Difference ◽

Two Systems

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Oscillation and asymptotic stability of two systems of difference equations of rational form

The Journal of Difference Equations and Applications ◽

10.1080/10236190108808290 ◽

2001 ◽

Vol 7 (4) ◽

pp. 601-617 ◽

Cited By ~ 31

Author(s):

G. Papaschinopoulos ◽

C.J. Schinasb

Keyword(s):

Asymptotic Stability ◽

Difference Equations ◽

Rational Form ◽

Two Systems

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Nonhuman sequence learning findings argue against Hoerl and McCormack's two systems of temporal cognition

Behavioral and Brain Sciences ◽

10.1017/s0140525x1900044x ◽

2019 ◽

Vol 42 ◽

Author(s):

Benjamin J. De Corte ◽

Edward A. Wasserman

Keyword(s):

Sequence Learning ◽

Past Research ◽

Ordinal Position ◽

Temporal Cognition ◽

Two Systems

Abstract Hoerl & McCormack propose that animals learn sequences through an entrainment-like process, rather than tracking the temporal addresses of each event in a given sequence. However, past research suggests that animals form “temporal maps” of sequential events and also comprehend the concept of ordinal position. These findings suggest that a clarification or qualification of the authors’ hypothesis is needed.

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Comparison of two devices for measuring exercise transcutaneous oxygen pressures in patients with claudication

VASA ◽

10.1024/0301-1526/a000454 ◽

2015 ◽

Vol 44 (5) ◽

pp. 355-362 ◽

Cited By ~ 8

Author(s):

Marie Urban ◽

Alban Fouasson-Chailloux ◽

Isabelle Signolet ◽

Christophe Colas Ribas ◽

Mathieu Feuilloy ◽

...

Keyword(s):

Oxygen Pressure ◽

Optical Sensors ◽

Chemical Sensors ◽

Transcutaneous Oxygen ◽

Starting Values ◽

Two Systems ◽

Transcutaneous Oxygen Pressure ◽

New Sensors ◽

Changes Over Time ◽

Over Time

Abstract. Summary: Background: We aimed at estimating the agreement between the Medicap® (photo-optical) and Radiometer® (electro-chemical) sensors during exercise transcutaneous oxygen pressure (tcpO2) tests. Our hypothesis was that although absolute starting values (tcpO2rest: mean over 2 minutes) might be different, tcpO2-changes over time and the minimal value of the decrease from rest of oxygen pressure (DROPmin) results at exercise shall be concordant between the two systems. Patients and methods: Forty seven patients with arterial claudication (65 + / - 7 years) performed a treadmill test with 5 probes each of the electro-chemical and photo-optical devices simultaneously, one of each system on the chest, on each buttock and on each calf. Results: Seventeen Medicap® probes disconnected during the tests. tcpO2rest and DROPmin values were higher with Medicap® than with Radiometer®, by 13.7 + / - 17.1 mm Hg and 3.4 + / - 11.7 mm Hg, respectively. Despite the differences in absolute starting values, changes over time were similar between the two systems. The concordance between the two systems was approximately 70 % for classification of test results from DROPmin. Conclusions: Photo-optical sensors are promising alternatives to electro-chemical sensors for exercise oximetry, provided that miniaturisation and weight reduction of the new sensors are possible.

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