We investigated a time-delayed optoelectronic oscillator (OEO) that displays a wide range of
complex dynamic behavior under small time delay. The phase-space trajectory distributions …

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …

Coordinating directional switches can appear in moving biological groups. Previous studies
have demonstrated that the self-driven particle model can effectively describe the directional …

Abstract We employ the Craig-Wayne-Bourgain (CWB) method to construct quasi-periodic
solutions for the nonlinear delayed perturbation equations. The linearized equation at each …

We prove the simultaneous conjugation of commuting foliation preserving torus maps by the
KAM method. We also explore the relationship between the conjugation theory and the …

We consider the state-dependent delay differential equation (SDDE) obtained by adding
delayed perturbation to a one-dimensional ODE with a degenerate equilibrium. We prove …

使用周期1 与准周期两种周期的访问映射, 在一个新系统中观察层流混沌. 对2
种不同周期的访问映射产生的层流混沌系统, 采用延迟调制进行耦合, 观察它们的同步行为 …

The high-dimensional property of delay differential equations makes them useful for various
purposes. The applications of systems modelled with delay differential equations demand …

Abstract Recurrent Neural Networks (RNNs) are well-suited for modeling time series data,
yet training them on chaotic sequences often poses significant challenges due to the …

Reservoir computing (RC) is a class of simple but efficient neural networks that is particularly
suited for temporal or sequential learning tasks. The prediction of chaotic dynamical systems …