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Published on: August 5, 2016
Dynamical integrity of the safe basins in a problem of forced escape
Pavel Kravetc1, Oleg Gendelman1, Alexander Fidlin2
1Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 3200003, Israel.
Abstract:
This paper explores the use of the approximation of isolated resonance method for determining the safe basins (SBs) in the problem of escape from a potential well. This study introduces a novel approach to capture the location and shape of the SBs and establish their erosion profiles. This research highlights the concept of "true" safe basins, which remain invariant with phase shifts, a critical factor often faced in real-world applications. A cubic polynomial potential serves as the benchmark to illustrate the proposed method.
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