An improved grid search algorithm to optimize SVR for prediction

2021 ◽  
Author(s):  
Yuting Sun ◽  
Shifei Ding ◽  
Zichen Zhang ◽  
Weikuan Jia
Keyword(s):  
Search Algorithm ◽  
Grid Search ◽  
Grid Search Algorithm

CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS

2012 ◽  
Vol 23 (02) ◽  
pp. 1250014 ◽  
Author(s):  
FERNANDO BLESA ◽  
SŁAWOMIR PIASECKI ◽  
ÁNGELES DENA ◽  
ROBERTO BARRIO
Keyword(s):  
Periodic Orbits ◽  
Degrees Of Freedom ◽  
Search Algorithm ◽  
Grid Search ◽  
Numerical Techniques ◽  
Two Degrees Of Freedom ◽  
Multiplicity One ◽  
Families Of Periodic Orbits ◽  
Grid Search Algorithm

In this work, we study a generic squared symmetric Hamiltonian of two degrees of freedom. Our aim is to show a global methodology to analyze the evolution of the families of periodic orbits and their bifurcations. To achieve it, we use several numerical techniques such as a systematic grid search algorithm in sequential and parallel, a fast chaos indicator and a tool for the continuation of periodic orbits. Using them, we are able to study the special and generic bifurcations of multiplicity one that allow us to understand the dynamics of the system and we show in detail the evolution of some symmetric breaking periodic orbits.

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