in this paper we intend to generate some set of optimal trajectories according to the number of control points has been applied for parameterizing those using b-spline curves. the trajectories are used to generate an optimal locomotion gait in a crawling worm-like robot. due to gait design considerations it is desired to minimize the required torques in a cycle of gait. similar to caterpillars,...

in this paper, we introduce a new hyperchaotic complex t-system. this system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. we discuss the synchronization with certain and uncerta...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...