Title

Chaotic Behavior in a Damped Driven Pendulum

Presenter Information

Jack Crewse

Department

Physics

Major

Physics

Research Advisor

Story, J. Greg

Advisor's Department

Physics

Funding Source

Physics Departmen

Abstract

Chaotic behavior of a physical system is characterized by its unpredictability and extreme sensitivity to initial conditions. This type of behavior is prevalent throughout the universe, yet we likely don't expect it of simple systems like a pendulum. We show here that solutions to the theoretical model of a damped driven pendulum produce transcendental functions that are easily understood in small angle approximations, yet provide chaotic solutions if the angle is allowed to take all values. We then recreated this system physically to show that a system as simple as the damped driven pendulum would indeed produce unpredictable behavior, strongly dependent on initial conditions.

Biography

Jack Crewse, a physics major in his third year here at Missouri S&T, has always had a passionate curiosity for strange and unusual properties of the world. Currently investing research interest in the budding fields of topological insulating materials and fractional calculus, Mr. Crewse has spent his time at S&T working hard to meet his goal of someday becoming a full time research professor.

Research Category

Sciences

Presentation Type

Poster Presentation

Document Type

Poster

Location

Upper Atrium/Hall

Presentation Date

16 Apr 2014, 9:00 am - 11:45 am

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Apr 16th, 9:00 AM Apr 16th, 11:45 AM

Chaotic Behavior in a Damped Driven Pendulum

Upper Atrium/Hall

Chaotic behavior of a physical system is characterized by its unpredictability and extreme sensitivity to initial conditions. This type of behavior is prevalent throughout the universe, yet we likely don't expect it of simple systems like a pendulum. We show here that solutions to the theoretical model of a damped driven pendulum produce transcendental functions that are easily understood in small angle approximations, yet provide chaotic solutions if the angle is allowed to take all values. We then recreated this system physically to show that a system as simple as the damped driven pendulum would indeed produce unpredictable behavior, strongly dependent on initial conditions.