International Journal of Engineering, Science and Mathematics
  • Year: 2019
  • Volume: 8
  • Issue: 5

“Modelling of local stability analysis consisting one differential and two differential equations for the analysis of continuous time models towards specific applications”

  • Author:
  • David Santosh Christopher1, G. Kalivarathan2, S. V. Vijayasundaram3, Mebratu Markos4
  • Total Page Count: 8
  • Page Number: 14 to 21

1Associate Professor, Mechanical Engineering, Woliata sodoUniversity, Ethiopia

2Associate Professor, Mechanical Engineering, Woliata sodo University, Ethiopia

3Assistant Professor, Electrical & Computer Engineering, Woliata sodo University, Ethiopia

4Head of the Depatrment, Mechanical Engineering, Woliata sodo University, Ethiopia

Online published on 3 December, 2019.

Abstract

In general, there is a prediction that all the dynamic systems are exhibiting multi-dimensional aspects, irrespective of the various fields of engineering science and technology. Most probably, the variations in dynamic behavior of any model may influence the behavioral pattern in terms of its own terminology for any technical features and advancements. In this context, a viable theoretical modelling is proposed for the analysis of continuous time models addressing the issues of “local stability “consisting of one dimensional as well as two-dimensional differential equations by considering the fundamentals of simple dynamic pattern, geometric growth, oscillations, attractors, geometric decay, damped oscillation and divergent oscillation. The basic concepts of equilibrium and stability for continuous time models can be presented in terms of one/two differential equations for any particular applications. a particular continuous time model, initially

Keywords

Continuous time models local stability analysis one/two differential equations oscillations vibrations dynamic pattern decay growth damped aspects divergent aspects