Time and again, non-conventional forms of Lagrangians have found attention in the
literature. For one thing, such Lagrangians have deep connections with several aspects of …

Time and again, non-conventional forms of Lagrangians with non-quadratic velocity
dependence have received attention in the literature. For one thing, such Lagrangians have …

初值敏感性是混沌的本质, 混沌的随机性来源于其对初始条件的高度敏感性, 而Lyapunov
指数又是这种初值敏感性的一种度量. 本文的研究发现, 混沌系统的级联可明显提高级联混沌的 …

Some examples of branched Hamiltonians are explored both classically and in the context
of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact …

Functional conjugation methods are used to analyze the global structure of various
renormalization group trajectories and to gain insight into the interplay between continuous …

Holographic functional methods are introduced as probes of discrete time-stepped maps
that lead to chaotic behavior. The methods provide continuous time interpolation between …

One of the less well-understood ambiguities of quantization is emphasized to result from the
presence of higher-order time derivatives in the Lagrangians resulting in multiple-valued …

Continuous interpolates are described for classical dynamical systems defined by discrete
time-steps. Functional conjugation methods play a central role in obtaining the …

Approximate solutions to functional evolution equations are constructed through a
combination of series and conjugation methods, and relative errors are estimated. The …

Time and again, non-conventional forms of Lagrangians with non-quadratic velocity
dependence have received attention in the literature. For one thing, such Lagrangians have …