Studies on the universal parameters and onset of chaos in dissipative systems

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Studies on the universal parameters and onset of chaos in dissipative systems

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dc.contributor.author Ambika, G
dc.contributor.author Dr.Babu, Joseph K
dc.date.accessioned 2014-03-25T04:14:20Z
dc.date.available 2014-03-25T04:14:20Z
dc.date.issued 1988-03
dc.identifier.uri http://dyuthi.cusat.ac.in/purl/3315
dc.description Department of physics, Cochin University of Science And Technology en_US
dc.description.abstract It has become clear over the last few years that many deterministic dynamical systems described by simple but nonlinear equations with only a few variables can behave in an irregular or random fashion. This phenomenon, commonly called deterministic chaos, is essentially due to the fact that we cannot deal with infinitely precise numbers. In these systems trajectories emerging from nearby initial conditions diverge exponentially as time evolves)and therefore)any small error in the initial measurement spreads with time considerably, leading to unpredictable and chaotic behaviour The thesis work is mainly centered on the asymptotic behaviour of nonlinear and nonintegrable dissipative dynamical systems. It is found that completely deterministic nonlinear differential equations describing such systems can exhibit random or chaotic behaviour. Theoretical studies on this chaotic behaviour can enhance our understanding of various phenomena such as turbulence, nonlinear electronic circuits, erratic behaviour of heart and brain, fundamental molecular reactions involving DNA, meteorological phenomena, fluctuations in the cost of materials and so on. Chaos is studied mainly under two different approaches - the nature of the onset of chaos and the statistical description of the chaotic state. en_US
dc.description.sponsorship Cochin University of Science And Technology en_US
dc.language.iso en en_US
dc.publisher Cochin University of Science And Technology en_US
dc.subject Conservative systems en_US
dc.subject Dissipative systems en_US
dc.subject Feigenbaum attractor en_US
dc.subject Renormalisation group equations en_US
dc.subject Routes to chaos en_US
dc.subject Melnikov Holmes method en_US
dc.title Studies on the universal parameters and onset of chaos in dissipative systems en_US
dc.type Thesis en_US


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