It is known that the popular Lorenz system admits an equivalent representation as a controlled Duffing system. It is also known that the Duffing system is an approximation to the simple pendulum. We introduce a new class of controlled pendulum systems that may also be interpreted as Pendulum-Lorenz systems. These systems contain the Lorenz system as an approximation and have a wide range of potential applications. Examples of chaotic attractors associated with a controlled pendulum system are presented.

Original languageEnglish
Pages (from-to)433-448
Number of pages16
JournalInternational Journal of Engineering Science
Volume41
Issue number3-5
DOIs
StatePublished - 1 Mar 2003

    Scopus subject areas

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

    Research areas

  • Controlled pendulum, Observables, Pendulum-Lorenz, States

ID: 48654865