Now showing items 1-5 of 5
| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| Dyuthi-P0119.pdf | (905.4Kb) |
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