However, for a non-smooth system the observable set of states and parameters may vary during the evolution of the system throughout a dynamic analysis.
In this paper, we try to study the first-order Melnikov function for piecewise smooth system (1).
Now, we show the generalized Newton iteration method for the nonlinear smooth system (2.7).
Later, by introducing multiple parameters, in [12], some new formulas are obtained for piecewise smooth systems.
If (a_{i}=c_{i},b_{i}=d_{i},i=1,2,ldots,9), then systems (3) and (4) become smooth near-Hamiltonian systems and have been studied in the papers [14, 20], where the authors obtained that there are at most two limit cycles that bifurcate from the period annulus of the origin for the smooth systems (3) and (4).
Moreover, there was an agreement consensus that the new system gives the opportunity for a smooth transition from the old AFS system with an agreement rate of 70.4 %, although this was not ranked as being important during the DELPHI round 1. 3.
Moreover, there was an agreement consensus that the new system gives the opportunity for a smooth transition from the old AFS system with an agreement rate of 70.4%, although this was not ranked as being important during the DELPHI first round.
So the accelerated learning initiative is really necessary for a smooth transition into the education system".
Likewise, an accountant you can trust is invaluable not just during year-end and tax preparation time, but also in setting up a smooth accounting system for you to implement--one that will minimize administrative workload and enable you to devote your precious time to building the business.
Numerical results of the global sensitivity indices computed for smooth systems reveal significantly higher convergence rates of the PDD approximation than those from existing methods, including polynomial chaos expansion, random balance design, state-dependent parameter, improved Sobol's method, and sampling-based methods.
