Now showing items 1-7 of 7
Abstract: | By introducing a periodic perturbation in the control parameter of the logistic map we have investigated the period locking properties of the map. The map then gets locked onto the periodicity of the perturbation for a wide range of values of the parameter and hence can lead to a control of the chaotic regime. This parametrically perturbed map exhibits many other interesting features like the presence of bubble structures, repeated reappearance of periodic cycles beyond the chaotic regime, dependence of the escape parameter on the seed value and also on the initial phase of the perturbation etc. |
URI: | http://dyuthi.cusat.ac.in/purl/2558 |
Files | Size |
---|---|
Dyuthi-P0117.pdf | (491.7Kb) |
Abstract: | We discuss how the presence of frustration brings about irregular behaviour in a pendulum with nonlinear dissipation. Here frustration arises owing to particular choice of the dissipation. A preliminary numerical analysis is presented which indicates the transition to chaos at low frequencies of the driving force. |
URI: | http://dyuthi.cusat.ac.in/purl/2707 |
Files | Size |
---|---|
Dyuthi-P0342.pdf | (277.5Kb) |
Abstract: | We consider a resistively shunted Josephson junction with a resistance that depends inversely on voltage. It is shown that such a junction in the underdamped case can give rise to extremely long-lived metastable states even in the absence of external noise. We investigate numerically this metastable state and its transition to a chaotic state. The junction voltages corresponding to these states are studied. |
URI: | http://dyuthi.cusat.ac.in/purl/2564 |
Files | Size |
---|---|
Dyuthi-P0123.pdf | (401.9Kb) |
Abstract: | A dynamical system with a damping that is quadratic in velocity is converted into the Hamiltonian format using a nonlinear transformation. Its quantum mechanical behaviour is then analysed by invoking the Gaussian effective potential technique. The method is worked out explicitly for the Duffing oscillator potential. |
URI: | http://dyuthi.cusat.ac.in/purl/2559 |
Files | Size |
---|---|
Dyuthi-P0118.pdf | (338.5Kb) |
Abstract: | We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map. where the scaling index is found to be different. |
URI: | http://dyuthi.cusat.ac.in/purl/2560 |
Files | Size |
---|---|
Dyuthi-P0119.pdf | (905.4Kb) |
URI: | http://dyuthi.cusat.ac.in/purl/1114 |
Files | Size |
---|---|
Ambika G 1988.pdf | (1.229Mb) |
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. |
Description: | Department of physics, Cochin University of Science And Technology |
URI: | http://dyuthi.cusat.ac.in/purl/3315 |
Files | Size |
---|---|
Dyuthi-T1288.pdf | (3.398Mb) |
Now showing items 1-7 of 7
Dyuthi Digital Repository Copyright © 2007-2011 Cochin University of Science and Technology. Items in Dyuthi are protected by copyright, with all rights reserved, unless otherwise indicated.