44 citations · 128 across the 8 of their papers we have counts for
8 papers
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…
Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics
Ruoshi Yuan, Xinan Wang, Yian Ma +2
We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obta…
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…
Flow Decomposition Reveals Dynamical Structure of Markov Process
Jianghong Shi, Tianqi Chen, Bo Yuan +1
Markov process is widely applied in almost all aspects of literature, especially important for understanding non-equilibrium processes. We introduce a decomposition to general Mark…
Relation of a New Interpretation of Stochastic Differential Equations to Ito Process
Jianghong Shi, Tianqi Chen, Ruoshi Yuan +2
Stochastic differential equations (SDE) are widely used in modeling stochastic dynamics in literature. However, SDE alone is not enough to determine a unique process. A specified i…
Kinetics of Muller's Ratchet from Adaptive Landscape Viewpoint
Shuyun Jiao, Yanbo Wang, Bo Yuan +1
Background: The accumulation of deleterious mutations of a population directly contributes to the fate as to how long the population would exist. Muller's ratchet provides a quanti…
Non-fixation in infinite potential
Song Xu, Shuyun Jiao, Pengyao Jiang +2
Under the effects of strong genetic drift, it is highly probable to observe gene fixation or loss in a population, shown by divergent probability density functions, or infinite ada…
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…