andy gijbels: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=30995
en-us2020 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemWed, 21 Oct 2020 12:37:13 GMTWed, 21 Oct 2020 12:37:13 GMTNew applications published by andy gijbelshttps://www.maplesoft.com/images/Application_center_hp.jpgandy gijbels: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=30995
Double Spring Pendulum
https://www.maplesoft.com/applications/view.aspx?SID=5082&ref=Feed
A chaotic pendulum is a two-dimensional dynamical system. It consists of a number of n rods connected to one an other by pivots and the pendulums contain point masses at the end of the light rods. The chaotic pendulum is an example of a physical system that exhibits chaotic behavior and shows a sensitive dependence on initial conditions.
The equations derived for the motion of the chaotic pendulum are based on Kinematics and Newton's Laws. Since energy is conserved in this physical workout, the motion of the chaotic pendulum will continue indefinitely.
Solving this problem with Maple allows varying the number of pendulums to 5 without to long calculation periods, which is 'impossible' by hand. Maple also gives the possibility to visualize the results in a simulation.
Parameters can be set in the initialization section!<img src="https://www.maplesoft.com/view.aspx?si=5082/fimage1.jpg" alt="Double Spring Pendulum" style="max-width: 25%;" align="left"/>A chaotic pendulum is a two-dimensional dynamical system. It consists of a number of n rods connected to one an other by pivots and the pendulums contain point masses at the end of the light rods. The chaotic pendulum is an example of a physical system that exhibits chaotic behavior and shows a sensitive dependence on initial conditions.
The equations derived for the motion of the chaotic pendulum are based on Kinematics and Newton's Laws. Since energy is conserved in this physical workout, the motion of the chaotic pendulum will continue indefinitely.
Solving this problem with Maple allows varying the number of pendulums to 5 without to long calculation periods, which is 'impossible' by hand. Maple also gives the possibility to visualize the results in a simulation.
Parameters can be set in the initialization section!https://www.maplesoft.com/applications/view.aspx?SID=5082&ref=FeedWed, 11 Jul 2007 00:00:00 ZAndy GijbelsAndy GijbelsThe Tower of Hanoi
https://www.maplesoft.com/applications/view.aspx?SID=5083&ref=Feed
This Maple worksheet calculates the solution for "The tower of Hanoi" with minimum number of steps and visualizes it in an animation.<img src="https://www.maplesoft.com/view.aspx?si=5083//applications/images/app_image_blank_lg.jpg" alt="The Tower of Hanoi" style="max-width: 25%;" align="left"/>This Maple worksheet calculates the solution for "The tower of Hanoi" with minimum number of steps and visualizes it in an animation.https://www.maplesoft.com/applications/view.aspx?SID=5083&ref=FeedWed, 11 Jul 2007 00:00:00 ZAndy GijbelsAndy GijbelsChaotic Pendulum
https://www.maplesoft.com/applications/view.aspx?SID=4825&ref=Feed
A chaotic pendulum is a two-dimensional dynamical system. It consists of a number of n rods connected to one an other by pivots and the pendulums contain point masses at the end of the light rods. The chaotic pendulum is an example of a physical system that exhibits chaotic behavior and shows a sensitive dependence on initial conditions.
The equations derived for the motion of the chaotic pendulum are based on Kinematics and Newton's Laws. Since energy is conserved in this physical workout, the motion of the chaotic pendulum will continue indefinitely.
Solving this problem with Maple allows varying the number of pendulums to 5 without to long calculation periods, which is 'impossible' by hand. Maple also gives the possibility to visualise the results in a simulation.<img src="https://www.maplesoft.com/view.aspx?si=4825/cp.jpg" alt="Chaotic Pendulum" style="max-width: 25%;" align="left"/>A chaotic pendulum is a two-dimensional dynamical system. It consists of a number of n rods connected to one an other by pivots and the pendulums contain point masses at the end of the light rods. The chaotic pendulum is an example of a physical system that exhibits chaotic behavior and shows a sensitive dependence on initial conditions.
The equations derived for the motion of the chaotic pendulum are based on Kinematics and Newton's Laws. Since energy is conserved in this physical workout, the motion of the chaotic pendulum will continue indefinitely.
Solving this problem with Maple allows varying the number of pendulums to 5 without to long calculation periods, which is 'impossible' by hand. Maple also gives the possibility to visualise the results in a simulation.https://www.maplesoft.com/applications/view.aspx?SID=4825&ref=FeedThu, 12 Oct 2006 00:00:00 ZAndy GijbelsAndy Gijbels