Abstract
According to Newton’s second law, the acceleration of a particle is proportional to the net force acting on it. In cases, in which the net force depends on the actual position and on the actual velocity of the particle, the system is described by a second-order ODE (due to the velocity and the acceleration being the first and the second derivatives of the position, respectively). In cases, in which the net force depends on both the actual and some delayed values of the particle’s position and velocity, the system is described by a second-order DDE. Second-order systems are therefore often used in engineering to model dynamic behavior. In this chapter, some special second-order scalar DDEs are considered and analyzed by the semidiscretization method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Insperger, T., Stépán, G. (2011). Newtonian Examples. In: Semi-Discretization for Time-Delay Systems. Applied Mathematical Sciences, vol 178. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0335-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4614-0335-7_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0334-0
Online ISBN: 978-1-4614-0335-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)