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Chaotic motions and fractal basin boundaries in spring-pendulum system

  • Published:2006-02 Issue:1 Volume:7 Page:81-95
  • ISSN:1468-1218
  • Container-title:Nonlinear Analysis: Real World Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Alasty Aria,Shabani Rasool

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference23 articles.

1. On the fractal structure of basin boundaries in two-dimensional noninvertible maps;Agliari;Int. J. Bifurcat. Chaos,2003

2. Behavior of a rubber spring pendulum;Bhattacharyya;J. Appl. Mech.,2000

3. Multistability, basin boundary structure, and chaotic behavior in a suspension bridge model;Defreitas;Int. J. Bifurcat. Chaos,2004

4. Parametrically excited nonlinear systems;El-Bassiouny;Int. J. Math. Math. Sci.,2002

5. Oscillatory orbits of the parametrically excited pendulum;Garira;Int. J. Bifurcat. Chaos,2003

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1. Nonlinear Static and Dynamic Responses of a Floating Rod Pendulum;Journal of Computational and Nonlinear Dynamics;2024-07-25

2. Amplitude modulation leads to the disappearance of relaxation oscillations in the Duffing system;Physica Scripta;2024-02-02

3. Shape Memory Alloy-Spring Pendulum for Vibration Suppression of Wind-Induced Transmission Tower-Line Systems;International Journal of Structural Stability and Dynamics;2023-03-06

4. Introduction;Periodic Motions to Chaos in a Spring-Pendulum System;2023

5. Global Behavior Analysis of Nonlinear Energy Sink Systems Using the Parallelized Multi-Degrees-of-Freedom Cell Mapping Method;Journal of Computational and Nonlinear Dynamics;2022-11-17
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