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| http://dx.doi.org/10.1002/minf.201500089 | DOI Listing |
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The topology of a chaotic attractor in the Kuramoto-Sivashinsky equation.
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Emergent Complexity in Physical Systems Laboratory (ECPS), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
The Birman-Williams theorem gives a connection between the collection of unstable periodic orbits (UPOs) contained within a chaotic attractor and the topology of that attractor, for three-dimensional systems. In certain cases, the fractal dimension of a chaotic attractor in a partial differential equation (PDE) is less than three, even though that attractor is embedded within an infinite-dimensional space. Here, we study the Kuramoto-Sivashinsky PDE at the onset of chaos.
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Department of Neurobiology and Behavior, University of California Irvine, Irvine, USA.
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View Article and Find Full Text PDFPerformance estimation of a piezoelectric energy harvester with rotatable external magnets.
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December 2024
Shanghai Institute of Technology, Shanghai 201418, China.
This study estimates the performance of a piezoelectric energy harvester (PEH) with rotatable external magnets from the viewpoint of global dynamics. According to static analysis of the PEH dynamic system, the monostable and bistable potential wells are configured under different values of the inclined angle of the external magnets. In the monostable case, the method of multiple scales is applied for the analysis of periodic responses, while the extended averaging method and the Melnikov method are utilized to analyze the periodic and chaotic responses in the bistable case.
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Department of Mathematics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, Madhya Pradesh, India.
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Ludwig Boltzmann Institute for Hematology & Oncology, Department of Medicine I, Comprehensive Cancer Center (CCC), Medical University of Vienna, Waehringer Guertel 18 - 20, A-1090, Vienna, Austria. Electronic address:
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