Sujit K Bose
Articles written in Proceedings – Mathematical Sciences
Volume 107 Issue 4 November 1997 pp 411-423
Transformation of chaotic nonlinear polynomial difference systems through Newton iterations
Chaotic sequences generated by nonlinear difference systems or ‘maps’ where the defining nonlinearities are polynomials, have been examined from the point of view of the sequential points seeking zeroes of an unknown function
Volume 109 Issue 4 November 1999 pp 411-416
Boundary stabilization of a hybrid Euler—Bernoulli beam
We consider a problem of boundary stabilization of small flexural vibrations of a flexible structure modeled by an Euler-Bernoulli beam which is held by a rigid hub at one end and totally free at the other. The hub dynamics leads to a hybrid system of equations. By incorporating a condition of small rate of change of the deflection with respect to
Volume 111 Issue 3 August 2001 pp 365-370
On initial conditions for a boundary stabilized hybrid Euler-Bernoulli beam
We consider here small flexural vibrations of an Euler-Bernoulli beam with a lumped mass at one end subject to viscous damping force while the other end is free and the system is set to motion with initial displacement
Volume 113 Issue 4 November 2003 pp 443-449
Uniform stability of damped nonlinear vibrations of an elastic string
Here we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess energy uniformly bounded by exponentially decaying function of time. The result is achieved by considering an energy-like Lyapunov functional for the system.
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