With the rapid increase of valuable observational, experimental and simulating data for
complex systems, much effort is being devoted to discovering governing laws underlying the …

Advances in data science are leading to new progresses in the analysis and understanding
of complex dynamics for systems with experimental and observational data. With numerous …

Numerous studies have demonstrated the important role of noise in the dynamical
behaviour of a complex system. The most probable trajectories of nonlinear systems under …

The phenomenon of noise-induced transition driven by the correlated Gaussian and non-
Gaussian colored noises is investigated by the first escape probability (FEP) and the mean …

Breast cancer cells exhibit three distinct phenotypes: basal, stem-like, and luminal states.
These phenotypes are closely associated with the invasion and spread of breast cancer. As …

Transition in a delayed tumor growth model subjected to non-Gaussian colored noise is
investigated. The lifetime of residing in the excited region, and the likelihood of first escaping …

The emergence of the exit events from a bounded domain containing a stable fixed point
induced by non-Gaussian Lévy fluctuations plays a pivotal role in practical physical systems …

The evolutionary processes are based on information transmission by nervous systems and
inheritance by genes in DNA. Various continuous and discrete mathematical models have …

This work addresses the problem of sliding mode control (SMC) design for a continuous-
time non-linear stochastic system with Levy-type noise. A state observer model is …

This paper introduces the basic ideas of large deviation theory and its applications in the
study of exit problems of non-Gaussian stochastic dynamical systems. According to different …