PMID: 21230628Jan 15, 2011

Decomposition of strong nonlinear oscillations via modified continuous wavelet transform

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E B Postnikov, E A Lebedeva

Abstract

We propose the modification of the complex wavelet transform adapted for an analysis of strong nonlinear oscillations with a shape far from sinusoidal. It is based on the rotation of transform modulus obtained via usage of the Morlet wavelet in such a way that higher harmonics are merged with a main one. The method is illustrated by application to the analysis of regular and chaotic oscillations generated by the Rössler system.

References

Feb 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J F MuzyAlain Arneodo
Nov 14, 1988·Physical Review Letters·Alain ArneodoM Holschneider
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H YangR Komanduri
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E B Postnikov

Citations

Mar 13, 2018·Evolutionary Computation·Michael FentonMichael O'Neill

Related Concepts

Shapes
Sinusoidal
Brain Waves
Analysis

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Alzheimer's Disease: MS4A

Variants within the membrane-spanning 4-domains subfamily A (MS4A) gene cluster have recently been implicated in Alzheimer's disease in genome-wide association studies. Here is the latest research on Alzheimer's disease and MS4A.

Pediculosis pubis

Pediculosis pubis is a disease caused by a parasitic insect known as Pthirus pubis, which infests human pubic hair, as well as other areas with hair including eye lashes. Here is the latest research.

Rh Isoimmunization

Rh isoimmunization is a potentially preventable condition that occasionally is associated with significant perinatal morbidity or mortality. Discover the latest research on Rh Isoimmunization here.

Genetic Screens in iPSC-derived Brain Cells

Genetic screening is a critical tool that can be employed to define and understand gene function and interaction. This feed focuses on genetic screens conducted using induced pluripotent stem cell (iPSC)-derived brain cells. It also follows CRISPR-Cas9 approaches to generating genetic mutants as a means of understanding the effect of genetics on phenotype.

Enzyme Evolution

This feed focuses on molecular models of enzyme evolution and new approaches (such as adaptive laboratory evolution) to metabolic engineering of microorganisms. Here is the latest research.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Pharmacology of Proteinopathies

This feed focuses on the pharmacology of proteinopathies - diseases in which proteins abnormally aggregate (i.e. Alzheimer’s, Parkinson’s, etc.). Discover the latest research in this field with this feed.

Alignment-free Sequence Analysis Tools

Alignment-free sequence analyses have been applied to problems ranging from whole-genome phylogeny to the classification of protein families, identification of horizontally transferred genes, and detection of recombined sequences. Here is the latest research.

Related Papers

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society
Alan Bernjak, A Stefanovska
Physical Review Letters
Alexander Ahlborn, Ulrich Parlitz
Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society
Xiaoli LiJohn Fox
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alexander E Hramov, Alexey A Koronovskii
© 2021 Meta ULC. All rights reserved