Decomposition scheme in continuous dissipative chaotic systems and role of strange attractors

An energy potential function is constructed for a Lorenz-like piecewise continuous dissipative system. Using this nonincreasing potential function, the system's dynamics is decomposed into a gradient component, accounting for energy dissipation; and a rotation component, facilitating energy con...

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Bibliographic Details
Published in2013 22nd International Conference on Noise and Fluctuations (ICNF) pp. 1 - 3
Main Authors Yian Ma, Qijun Tan, Ruoshi Yuan, Bo Yuan, Ping Ao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2013
Subjects
Chaos
Differential equations
Dynamics
Educational institutions
Matrix decomposition
Symmetric matrices
Vectors
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Summary:An energy potential function is constructed for a Lorenz-like piecewise continuous dissipative system. Using this nonincreasing potential function, the system's dynamics is decomposed into a gradient component, accounting for energy dissipation; and a rotation component, facilitating energy conserved motion. Each part has an individual role of determining the strangeness or chaoticness of the attractor.
ISBN:1479906689
9781479906680
DOI:10.1109/ICNF.2013.6578915