Multimode Character of Dynamical Systems as a Cause of Their Complex (“Chaotic”) Behavior

A vibrational transportation model is proposed for single-piece and granular materials. In contrast to the well-known (“basic”) model, it allows obtaining simple general formulas for estimating the velocity of vibrational transportation in intensive tossing regimes. Such regimes are characteristic of a large number of existing and promising vibrational transportation-based process machines. This approach eliminates the need to design separate complex formulas for each of the many regimes predicted by the basic model. It has been shown that the resulting formulas are in good agreement with the experimental data, including those obtained in the work. In connection with the study, the topic of rational modeling of similar dynamic systems with complex behavior is discussed.

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Multimode Character of Dynamical Systems as a Cause of Their Complex (“Chaotic”) Behavior

Abstract: Abstract. This study puts under consideration dynamic systems, whose visible complex ("chaotic")

Cited by 3 publications

References 5 publications

Analysis of motion of inverted pendulum with vibrating suspension axis at low-frequency excitation as an illustration of a new approach for solving equations without explicit small parameter

Analysis of motion of inverted pendulum with vibrating suspension axis at low-frequency excitation as an illustration of a new approach for solving equations without explicit small parameter

Frequency Synchronization and Its Possible Role in Microworld Phenomena

Engineering model of the vibrational transportation process

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