Invariant metric for nonlinear symplectic maps

Pramana

Minita Sachidanand¹  Govindan Rangarajan1 2 3¹ 

[1] Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India$$

关键词: Invariant metric;    symplectic maps;    performance optimization.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we construct an invariant metric in the space of homogeneous polynomials of a given degree (≥ 3). The homogeneous polynomials specify a nonlinear symplectic map which in turn represents a Hamiltonian system. By minimizing the norm constructed out of this metric as a function of system parameters, we demonstrate that the performance of a nonlinear Hamiltonian system is enhanced.

【 授权许可】

Unknown