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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Resonance and Bifurcation to Chaos in Pendulum

Resonance and Bifurcation to Chaos in Pendulum

Luo Albert C J

Hardcover

General SciencePhysics

ISBN10: 981323167X
ISBN13: 9789813231672
Publisher: Wsp/Hep
Published: Dec 31 2017
Pages: 252
Weight: 1.12
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English

A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors. Although the pendulum is one of the simplest nonlinear oscillators, yet, until now, we are still not able to undertake a systematical study of periodic motions to chaos in such a simplest system due to lack of suitable mathematical methods and computational tools. To understand periodic motions and chaos in the periodically forced pendulum, the perturbation method has been adopted. One could use the Taylor series to expend the sinusoidal function to the polynomial nonlinear terms, followed by traditional perturbation methods to obtain the periodic motions of the approximated differential system.

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