Abstract Biological flying, gliding, and falling creatures are capable of extraordinary forms inertial maneuvering: free-space maneuvering based on fine control their multibody dynamics, as typified by the self-righting reflexes cats. However, designing capability into biomimetic robots, such unmanned aerial vehicles (UAVs), is challenging. Accurately simulating this requires numerical integrat...

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...

13C NMR of the aromatic residues of Clostridium acidi-urici [Phe*]ferredoxin (a chemically modified ferredoxin in which a phenylalanyl residue replaces a tyrosyl residue) and Clostridium pasteurianum ferredoxin permits one to distinguish and probe each iron-sulfur (Fe&*) cluster neighboring the aromatic residues within each protein. This is because the ring carbon resonance shifts of the phenyl...

The random midpoint displacement method is a widely applied algorithm used for terrain simulation. This paper first reviews the underlying theory and the algorithm of the random midpoint displacement method and then analyzes the characteristics of the simulated terrain. An implementation is developed for the successive random addition midpoint displacement method using the programming language ...

We propose explicit K-symplectic and symplectic-like methods for the charged particle system in a general strong magnetic field. The are also symmetric. can be expressed both canonical non-canonical Hamiltonian system. If three components of field integrated closed forms, we construct system; otherwise, constructed by extending original phase space obtaining augmented separable Hamiltonian, the...

We present a novel numerical method for solving ODEs while preserving polynomial first integrals. The is based on introducing multiple quadratic auxiliary variables to reformulate the ODE as an equivalent but higher-dimensional with only integrals which midpoint rule applied. can subsequently be eliminated yielding midpoint-like original phase space. resulting shown discrete gradient method. Fu...