Numerous cellular functions are closely reliant on mitochondria and so the capability to conduct long-term stable studies of their activity is of great importance. However, current commercial mitochondrial probes are severely limited in their ability to trace mitochondria due to their inherently...

This paper studies the Lorenz-family system which is known to establish a topological connection among the Lorenz, Chen and Lu¨ systems in the parametric space. The existence of S˘i’lnikov heterclinic orbits is proved using an undetermined coefficient method. As a consequence, the...

Nonlinear control theory is successfully extended to fractional-order Chen systems to achieve synchronization. The corresponding fraction-order numerical algorithms are established. The analytical results are derived based on the Laplace transformation theory. Moreover, numerical simulations are...