A new approach to the study of non-linear non-autonomous systems

1968 ◽  
Vol 8 (1) ◽  
pp. 103-107 ◽  
Author(s):  
B.V. Dasarathy ◽  
P. Srinivasan
Keyword(s):  
Autonomous Systems ◽  
New Approach ◽  
Non Linear

On the Model Scaling of Polyester Mooring Lines for Offshore Applications

2002 ◽  
Author(s):  
Antonio Carlos Fernandes ◽  
Ronaldo Rosa Rossi
Keyword(s):  
Steel Wire ◽  
Random Excitation ◽  
Model Tests ◽  
Early Model ◽  
Random Waves ◽  
Mooring Lines ◽  
New Approach ◽  
Linear Behavior ◽  
Non Linear ◽  
Similarity Laws

With the introduction of the polyester ropes as mooring lines of large systems such as semi-submersibles, the need to simulate these lines in model tests became a necessity. Although the non-linear behavior is clear, depending on the type of cycling, the polyester rope responds in ways that may be considered linear as a steel wire rope. Because of that, the early model tests have been performed using a linear restoring capability, with different restoring coefficients. The use of equivalent springs seemed the proper way. However, with the help of fundamental investigation on the similarity laws, the present work shows that the use of very thin polyester lines in model scaling is feasible and will indeed allow a closer physical representation. By avoid using springs, but using the same material as in full scale, the same non-linear behavior is present during the tests and even the response to random excitation due to random waves is better represented. The paper closely describes the application of these ideas in a model test of a FPSO (Floating Production Storage and Offloading) comparing both the linear springs and new approach with the model scale equivalent polyester line.

Linear and Non-Linear Optical Properties of (2-Cyano-5-Methoxy-1,4-Phenylenevinylene) and Paraphenylenevinylene Copolymers

1992 ◽  
Vol 277 ◽  
Author(s):  
Jang-Joo Kim ◽  
Do-Hoon Hwang ◽  
Shin-Woong Kang ◽  
Hong-Ku Shim
Keyword(s):  
Optical Properties ◽  
Molecular Design ◽  
Water Soluble ◽  
New Approach ◽  
Electro Optic ◽  
Precursor Polymers ◽  
Non Linear ◽  
Linear Optical Properties ◽  
Precursor Route ◽  
Linear Optical

ABSTRACTPoly(CMPV-co-PV) have been synthesized via water soluble sulfonium salt precursor route and their linear and non-linear optical properties were characterized. The electro-optic response was stable up to 100°C when the materials were poled during the elimination. The thermal stability and mechanical strength of PPV and its derivatives, and easy processibility from the precursor polymers suggest a new approach for the molecular design of the 2nd order non-linear optical polymers.

scholarly journals All-dielectric meta-optics and non-linear nanophotonics

2018 ◽  
Vol 5 (2) ◽  
pp. 144-158 ◽  
Author(s):  
Yuri Kivshar
Keyword(s):  
Refractive Index ◽  
High Refractive Index ◽  
Magnetic Response ◽  
New Approach ◽  
New Era ◽  
Optical Metamaterials ◽  
Flexible Control ◽  
Non Linear ◽  
Recent Developments ◽  
Research Frontiers

Abstract Most optical metamaterials fabricated and studied to date employ metallic components resulting in significant losses, heat and overall low efficiencies. A new era of metamaterial physics is associated with all-dielectric meta-optics, which employs electric and magnetic Mie resonances of subwavelength particles with high refractive index for an optically induced magnetic response, thus underpinning a new approach to design and fabricate functional and practical metadevices. Here we review the recent developments in meta-optics and subwavelength dielectric photonics and demonstrate that the Mie resonances can play a crucial role in the realization of the unique functionalities of meta-atoms, also driving novel effects in the fields of metamaterials and nanophotonics. We discuss the recent research frontiers in all-dielectric meta-optics and uncover how Mie resonances can be employed for a flexible control of light with full phase and amplitude engineering, including unidirectional metadevices, highly transparent metasurfaces, non-linear nanophotonics and topological photonics.

Chaos Theory: A New Paradigm for Psychotherapy?

1991 ◽  
Vol 25 (4) ◽  
pp. 548-560 ◽  
Author(s):  
Isla Lonie
Keyword(s):  
Information Theory ◽  
Chaos Theory ◽  
Basic Unit ◽  
New Paradigm ◽  
New Approach ◽  
Non Linear ◽  
Complex Events ◽  
The Subject ◽  
Mature Science

Thomas Kuhn's concept of paradigm as central to the functioning of a mature science is linked with Johnson-Abercrombie's recognition that perception itself is shaped by the schemata available to the subject. The rapidly advancing field of non-linear mathematics, in offering conceptual forms to represent complex events, may provide a useful framework in which to place various psychodynamic formulations about the development of the personality, and suggests the possibility of a new approach to research concerning the efficacy of psychotherapy. Dan Stern's latest concept of “moments” as the basic unit in structuring the personality, leading to the complex representational patterns and feed-back loops he terms “RIGS” may be viewed in this context. The paradigm may be extended to include such concepts as Peterfreund's linkage of psychodynamic theorising with aspects of information theory generated by the study of computers, and with Sullivan's concepts of repetitive patterns of behaviour recognisable, and changing, throughout the course of a therapy.

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