We study the existence and stability of small-amplitude periodic waves emerging from fold-Hopf equilibria in a system one reaction–diffusion equation coupled with ordinary differential equation. This includes FitzHugh–Nagumo system, caricature calcium models, other models real-world applications. Based on recent results averaging theory, we solve solutions related three-dimensional systems then...

The timing of food intake and nutrient utilization is critical to health and regulated partly by the circadian clock. Increased amplitude of circadian oscillations and metabolic output has been found to improve health in diabetic and obesity mouse models. Here, we report a function for the circadian deadenylase Nocturnin as a regulator of metabolic amplitude across the day/night cycle and in re...

A new synchronization system is proposed based on the Lyapunov function scheme by introducing the amplitude parameters for projective synchronization with different ratios. Consequently, the complicated controller is replaced by a signal with scale information from the other side of the synchronization system. Based on amplitude control, different regimes of projective synchronization are obtai...

A general approach based on the introduction of a control function for constructing amplitudecontrollable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic terms in a dynamical system. The approach is illustrated using the Lorenz system as a typical exampl...

The impact of pentylenetetrazol-induced kindling on the effectiveness of theta pattern primed-bursts (PBs) for the induction of long-term potentiation (LTP) of field excitatory postsynaptic potentials (fEPSP) and population spikes (PS) were investigated in hippocampal CA1 of pentylenetetrazol-kindled rats in vivo. The results showed that shortly after kindling, control animals had normal LTP of...

major proportion of intracellular calcium (ca 2+ ) is achieved through opening of calcium channels present in the plasma membrane which play an important role in regulating neuromuscular coordination and release of neurotransmitters from nerve terminals. blockade of these calcium channels adversely affect contractile process and release of neurotransmitters in majority of the neuromuscular prep...