44 citations · 225 across the 12 of their papers we have counts for
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nlin.CD2013★ 4 cited
Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle
Yian Ma, Ruoshi Yuan, Yang Li +2
This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and contro…
nlin.CD2012★ 4 cited
Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor
Yian Ma, Qijun Tan, Ruoshi Yuan +2
In this paper, we demonstrate, first in literature known to us, that potential functions can be constructed in continuous dissipative chaotic systems and can be used to reveal thei…
nlin.CD2010★ 44 cited
Constructive Proof of Global Lyapunov Function as Potential Function
Ruoshi Yuan, Yian Ma, Bo Yuan +1
We provide a constructive proof on the equivalence of two fundamental concepts: the global Lyapunov function in engineering and the potential function in physics, establishing a br…