Fwd: Open Seminar - PhD Student

[Amit Neogi]

---------- Forwarded message ----------
From: Manish Shrimali <m.shr...@gmail.com>
Date: Wed, May 1, 2013 at 11:26 AM
Subject: Open Seminar - PhD Student
To: "Prof. R. Tomar" <tomar.r...@gmail.com>, tomar lnmiit <tomar_...@gmx.com>
Cc: "Dr. Anupam Singh" <anupam0...@gmail.com>, "Dr. Amit Neogi" <amit....@gmail.com>, "Dr. Ajit Patel" <ajit...@gmail.com>


Dear Prof. Tomar,

Please find below the title and abstract of the Open Seminar of PhD
student, Pooja Rani. The seminar is scheduled on Saturday 4th May at
10 AM in Board Room. Request you to forward it to faculty and PG
students group. Thanks,

Best regards,
Manish Shrimali

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Speaker: Pooja Rani, LNM Scholar

Title: Controlling dynamics of nonlinear oscillators through linear augmentation

Abstract:
Nonlinearity is ubiquitous in natural as well as in engineered
systems, consequently, study of nonlinear dynamical systems has been
an intensively explored area for research over the last few decades.
One of the significant attribute of nonlinear dynamical systems is
that they exhibit chaos, namely sensitivity with respect to initial
conditions. Many of the physical, ecological, biological and chemical
systems display chaotic behavior in a certain range of parameters.
Although in some systems chaotic behavior is desirable as it
represents the normal functioning of the system e.g chaotic dynamics
of neurons is responsible for the normal performance of brain activity
but there are situations where chaos is not a desirable phenomenon and
can be harmful in some cases e.g fluctuations in the output of laser
systems, erratic fibrillations of heart beating, noisy type
oscillations in electronic circuits, complicated population dynamics
of species etc. Therefore, one would like to avoid or control chaos
for a desired functioning of system with minimal efforts without
significant changes in the systems parameter.

The objective of this research project is to introduce a general
control strategy for nonlinear dynamical systems which can work even
when the internal parameters of the given system are not accessible.
The proposed strategy is the coupling of underlying nonlinear
oscillatory system with a linear one dimensional decaying system. We
used this strategy of linear augmentation of nonlinear dynamical
system for the following two purposes (i) To stabilize the fixed point
of the nonlinear oscillator and (ii) To obtain the desired monostable
state from bistable system.  We have considered various systems like,
Lorenz, Rossler, Chua, and neuronal model systems etc for these
studies. Moreover, applicability of linear augmented dynamics of
synthetic genetic network is also depicted as a logical computing
unit. In this way, this strategy of augmented dynamics of oscillatory
nonlinear systems works well without disturbing the systems parameters
which serves our main purpose and due to its simple realization we
expect its wide applicability.
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Dr. Amit Neogi

The LNM Institute of Information Technology

Rupa Ki Nangal

Po-Sumel, Via-Jamdoli

Jaipur

Rajasthan-302031
India
Ph# +91-141-5189211 (O)
              9413839224 (M)
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Life is short. Vanities of the world are transient. They alone live who live for others. The rest are more dead than alive- Swami Vivekananda