Complex systems analysis by integrative omics

In this paper, we mainly seek conditions on which the geometric properties of subclasses of biholomorphic mappings remain unchanged under the perturbed Roper-Suffridge extension operators. Firstly we generalize the Roper-Suffridge operator on Bergman-Hartogs domains. Secondly, applying the analytical characteristics and growth results of subclasses of biholomorphic mappings, we conclude that the generalized Roper-Suffridge operators preserve the geometric properties of strong and almost spiral-like mappings of typeβand orderα,SΩ⁎(β,A,B)as well as almost spiral-like mappings of typeβand orderαunder different conditions on Bergman-Hartogs domains. Sequentially we obtain the conclusions on the unit ballBnand for some special cases. The conclusions include and promote some known results and provide new approaches to construct biholomorphic mappings which have special geometric characteristics in several complex variables.

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Synchronization of complex systems: Analysis and control

Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology - World Scientific Lecture Notes in Complex Systems ◽

10.1142/9789812706911_0013 ◽

2007 ◽

pp. 347-369

Author(s):

Michael Rosenblum ◽

Arkady Pikovsky

Keyword(s):

Complex Systems ◽

Systems Analysis ◽

And Control

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Complex Systems Analysis of Arrested Neural Cell Differentiation during Development and Analogous Cell Cycling Models in Carcinogenesis

Nature Precedings ◽

10.1038/npre.2012.7101.2 ◽

2012 ◽

Author(s):

V. Prisecaru ◽

I Baianu

Keyword(s):

Cell Differentiation ◽

Complex Systems ◽

Systems Analysis ◽

Neural Cell ◽

Cell Cycling

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Not by technique alone. A methodological comparison of development analysis with Esther Duflo and Elinor Ostrom

Journal of Institutional Economics ◽

10.1017/s1744137415000429 ◽

2015 ◽

Vol 12 (2) ◽

pp. 277-303 ◽

Cited By ~ 5

Author(s):

AGNÈS LABROUSSE

Keyword(s):

Social Sciences ◽

Complex Systems ◽

Case Studies ◽

Systems Analysis ◽

Methodological Pluralism ◽

Research Strategies ◽

Mainstream Economics ◽

Great Divide ◽

Development Analysis ◽

Methodological Comparison

AbstractThis contribution aims at an original comparison of development analysis with Elinor Ostrom and Esther Duflo from a methodological standpoint, scrutinising their relationship to theory and their operative research strategies. Both perspectives are investigated as case studies for a broader discussion about significant trends in economics and social sciences. Duflo and the J-PAL's approach illustrates – in its own way – new trends and some blind alleys in contemporary forms of mainstream economics, whereas Ostrom and the Bloomington school point towards the marked theoretical and methodological reflexivity of institutionalism, its sensitivity to historical diversity and openness towards social sciences. Distinct social philosophies and episteme are at stake displaying a great divide between two brands of realism and pragmatism, two relationships to development, expertise and knowledge. The paper also contrasts Duflo's methodological monism and mechanistic piecemeal analysis with Ostrom's methodological pluralism and adaptive complex systems analysis.

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