When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …

This paper studies the nonlinear dynamics of coupled ring networks each with an arbitrary
number of neurons. Different types of time delays are introduced into the internal …

The genetic regulatory networks are complex dynamic systems which reflect various kinetic
behaviors of living things. In this paper, a new structure of coupled repressilators is …

Many biological systems have the conspicuous property to present more than one stable
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …

Multiplex networks have drawn much attention since they have been observed in many
systems, eg, brain, transport, and social relationships. In this paper, the nonlinear dynamics …

This paper investigates the robust stability of a steady state in network systems with dynamic
connections. A linear stability analysis reveals that the odd number property holds for any …

This paper reveals the dynamical behaviors of a network consisting of a pair of ring sub-
networks and two-way couplings of neurons between the individual sub-networks. Time …

This study considers a delayed neural network with excitatory and inhibitory shortcuts. The
global stability of the trivial equilibrium is investigated based on Lyapunov's direct method …

This book is devoted to bifurcation theory in discontinuous dynamical systems. The main
novelty is the consideration of bifurcation in differential and hybrid equations by means of …

In this paper, we apply the methods of B-equivalence and ψ-substitution to prove the
existence of discontinuous limit cycle for the Van der Pol equation with impacts on surfaces …