New links and reductions between the Brockett nonholonomic integrator and related systems.
Newton, Chebyshev, and Halley Basins of Attraction; A Complete Geometric Approach
Nonlinear dynamic systems and optimal control problems on time scales
This paper is mainly concerned with a class of optimal control problems of systems governed by the nonlinear dynamic systems on time scales. Introducing the reasonable weak solution of nonlinear dynamic systems, the existence of the weak solution for the nonlinear dynamic systems on time scales and its properties are presented. Discussing L1-strong-weak lower semicontinuity of integral functional, we give sufficient conditions for the existence of optimal controls. Using integration by parts formula...
Nonlinear dynamic systems and optimal control problems on time scales*
This paper is mainly concerned with a class of optimal control problems of systems governed by the nonlinear dynamic systems on time scales. Introducing the reasonable weak solution of nonlinear dynamic systems, the existence of the weak solution for the nonlinear dynamic systems on time scales and its properties are presented. Discussing L1-strong-weak lower semicontinuity of integral functional, we give sufficient conditions for the existence of optimal controls. Using integration by parts formula...
Nonlinear time series: computations and applications.
Nonstandard numerical methods for a class of predator-prey models with predator interference.
Numerical bifurcation of separable parameterized equations.