On first return path systems

Aliasghar Alikhani-Koopaei

doi:10.14321/realanalexch.31.1.0271

On first return path systems

Aliasghar Alikhani-Koopaei

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

It is known that for a first return system of paths (R_x: x ∈ [0, 1]) the right path systems R⁺ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.

Original language	English (US)
Pages (from-to)	271-284
Number of pages	14
Journal	Real Analysis Exchange
Volume	31
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.31.1.0271
State	Published - 2006

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.14321/realanalexch.31.1.0271

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abstract = "It is known that for a first return system of paths (Rx: x ∈ [0, 1]) the right path systems R+ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.",

author = "Aliasghar Alikhani-Koopaei",

note = "Funding Information: Key Words: first-return, path systems, path derivatives, intersection conditions. Mathematical Reviews subject classification: Primary 26A21; Secondary 26A24 Received by the editors July 1, 2004 Communicated by: Richard J. O{\textquoteright}Malley ∗The work was partially supported through a Research and Developments Grant from Berks-Lehigh Valley College of the Pennsylvania State University",

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AU - Alikhani-Koopaei, Aliasghar

N1 - Funding Information: Key Words: first-return, path systems, path derivatives, intersection conditions. Mathematical Reviews subject classification: Primary 26A21; Secondary 26A24 Received by the editors July 1, 2004 Communicated by: Richard J. O’Malley ∗The work was partially supported through a Research and Developments Grant from Berks-Lehigh Valley College of the Pennsylvania State University

PY - 2006

Y1 - 2006

N2 - It is known that for a first return system of paths (Rx: x ∈ [0, 1]) the right path systems R+ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.

AB - It is known that for a first return system of paths (Rx: x ∈ [0, 1]) the right path systems R+ ( the left path system R-) is right ( is left ) continuous and R satisfies I.I.C. property. In this paper we consider path systems that are continuous and satisfy I.I.C. and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.

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UR - https://www.scopus.com/pages/publications/85032571367#tab=citedBy

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DO - 10.14321/realanalexch.31.1.0271

M3 - Article

AN - SCOPUS:85032571367

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VL - 31

SP - 271

EP - 284

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 1

ER -

On first return path systems

Abstract

All Science Journal Classification (ASJC) codes

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