We propose a concept to generate and stabilize diverse partial synchronization patterns
(phase clusters) in adaptive networks which are widespread in neuroscience and social …

Inspired by the non-autonomous chaos system and the transient chaotic oscillation, based
on the chaos systems of the Lorenz family, the system structure, parameters, and orders are …

The self-excited attractors and hidden attractors in a memcapacitive system which has three
elements are studied in this paper. The critical parameter of stable and unstable states is …

A variation in the environment of a system, such as the temperature, the concentration of a
chemical solution, or the appearance of a magnetic field, may lead to a drift in one of the …

The work studies the well-known map-based model of neuronal dynamics introduced in
2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We …

The paper reports a new generalized Hamiltonian chaotic system with transient quasi-
periodic flows and intermittent chaos by investigating the Kolmogorov-type transformation for …

The transient chaos and the stable chaotic dynamics of coupled autonomous van der Pol
(VdP) oscillators with cubic term are investigated. Transient chaos is a common …

Modeling nerve cells can facilitate formulating hypotheses about their real behavior and
improve understanding of their functioning. In this paper, we study a discrete neuron model …

Nonautonomous dynamical systems help us to understand the implications of real systems
which are in contact with their environment as it actually occurs in nature. Here, we focus on …

External and internal factors may cause a system's parameter to vary with time before it
stabilizes. This drift induces a regime shift when the parameter crosses a bifurcation. Here …