@Article{JNMA-4-1,
author = {Zhou, Mi and Zhengdong, Du},
title = {Transversal Heteroclinic Bifurcation in Hybrid Systems with Application to Linked Rocking Blocks},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {4},
number = {1},
pages = {18--41},
abstract = {<p style="text-align: justify;">In this paper, we study heteroclinic bifurcation and the appearance
of chaos in time-perturbed piecewise smooth hybrid systems with discontinuities on finitely many switching manifolds. The unperturbed system has a
heteroclinic orbit connecting hyperbolic saddles of the unperturbed system
that crosses every switching manifold transversally, possibly multiple times.
By applying a functional analytical method, we obtain a set of Melnikov functions whose zeros correspond to the occurrence of chaos of the system. As
an application, we present an example of quasi-periodically excited piecewise
smooth system with impacts formed by two linked rocking blocks.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.18},
url = {https://global-sci.com/article/87906/transversal-heteroclinic-bifurcation-in-hybrid-systems-with-application-to-linked-rocking-blocks}
}