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Can I read Complex Dynamics in Three-well Duffing System with Two External Forcings on EtoBox?
Complex Dynamics in Three-well Duffing System with Two External Forcings by Zhujun Jing; Jicai Huang; Jin Deng is a Physics and Astronomy article available to read on EtoBox.
What is Complex Dynamics in Three-well Duffing System with Two External Forcings about?
Three-well duffing system with two external forcing terms is investigated. The criterion of existence of chaos under the periodic perturbation is given by using Melnikov's method. By using second-order averaging method and Melnikov's method we proved the criterion of existence of chaos in averaged systems under quasi-periodic perturbation for x 2 = nx 1 + em, n = 1, 3, 5, and cannot prove the criterion of existence of chaos in second-order averaged system under quasi-periodic perturbation for x 2 = nx 1 + em, n = 2, 4, 6, 7, 8, 9, 10, 11, 12, where m is not rational to x 1 , but can show the occurrence of chaos in original system by numerical simulation. Numerical simulations including heteroclinic and homoclinic bifurcation surfaces, bifurcation diagrams, maximum Lyapunov exponents and Poincare ́map are given to illustrate the theoretical analysis, and to expose the more new complex dynamical behaviors. We show that cascades of period-doubling bifurcations from period-one to four orbits, cascades of interlocking period-doubling bifurcations from period-two orbits of two sets, from quasi-periodicity leading to chaos, onset of chaos which occurs more than one, interleaving occurren
Who reads Complex Dynamics in Three-well Duffing System with Two External Forcings?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Zhujun Jing; Jicai Huang; Jin Deng
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)
- Published
- 2007
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)