Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-26T07:29:28.747Z Has data issue: false hasContentIssue false

2 - Dynamic systems theory

Published online by Cambridge University Press:  06 March 2018

Iwona Kowal
Affiliation:
Jagiellonian University in Kraków
Get access

Summary

When addressing the issue of dynamic systems we must not overlook the concept of motion. This notion includes a set space, a time set, an initial time and initial conditions. The set space is the set of all possible states that certain objects can possess. Motion refers to the change in a state over time. This concept goes back to Newton's Laws of Motion, and dynamic systems theory has in fact its roots in the former. Newtonian mechanics is even treated as “the archetype of deterministic dynamical theories” (Manneville, 2004, p. 25). The laws describe the behaviour of bodies under the influence of forces acting upon them. Motion occurs as a consequence of this action. Motion in classical Newtonian mechanics is considered within three main subfields. Although all of these deal with the same phenomenon each one focuses on a different aspect. Statics investigates the action of forces that leads to the equilibrium of a body. Kinematics describes the motion of bodies, but is not interested in the cause of the motion. Dynamics, in turn, considers the motion of bodies under the influence of forces (Encyclopedia of Science & Technology, 1997). Newton introduced a set of equations, called differential equations, which describe the motion of physical bodies and systems, such as, e.g., the Solar System. Newton's laws of motion have been used primarily to investigate the motion of large bodies. However, they have their limitations in the case of bodies that move at high speed or very small bodies. These kinds of objects are considered within the context of special relativity or quantum physics.

According to Newton's First Law, when a force acts on a body the latter can move as long as that force is acting on it, after which it comes to a state of rest due to gravity or friction. The body can even continue to move at constant speed, which can be illustrated as a straight line. This kind of motion is called linear motion and is the basic form of motion.

Type
Chapter
Information
Publisher: Jagiellonian University Press
Print publication year: 2016

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×