scholarly journals Identification and robustness analysis of nonlinear hybrid dynamical system of genetic regulation in continuous culture

2020 ◽  
Vol 16 (2) ◽  
pp. 579-599 ◽  
Author(s):  
Qi Yang ◽  
◽  
Lei Wang ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Dynamical System ◽  
Continuous Culture ◽  
Genetic Regulation ◽  
Robustness Analysis ◽  
Hybrid Dynamical System ◽  
Nonlinear Hybrid

scholarly journals Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol

2011 ◽  
Vol 54 (1-2) ◽  
pp. 618-624 ◽  
Author(s):  
Juan Wang ◽  
Jianxiong Ye ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
Zhilong Xiu
Keyword(s):  
Dynamical System ◽  
Batch Fermentation ◽  
Hybrid Dynamical System ◽  
Nonlinear Hybrid

Identification and robustness analysis of nonlinear multi-stage enzyme-catalytic dynamical system in batch culture

2014 ◽  
Vol 34 (3) ◽  
pp. 957-978 ◽  
Author(s):  
Jinlong Yuan ◽  
Xu Zhang ◽  
Xi Zhu ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Dynamical System ◽  
Batch Culture ◽  
Robustness Analysis ◽  
Multi Stage

scholarly journals Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Jing Hui ◽  
Jian-Hua Pang ◽  
Dong-Rong Lin
Keyword(s):  
Dynamical System ◽  
Hopf Bifurcation ◽  
Local Stability ◽  
Orbital Stability ◽  
Species Hybrid ◽  
Hybrid Dynamical System ◽  
Mathematical Analyses ◽  
Existence Of Equilibria ◽  
Impulsive Releasing ◽  
Infected Prey

We consider an epidemic-species hybrid dynamical system. The disease is spread among the prey only and the infected prey can reproduce virus. The predator only eats the infected prey. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf bifurcating limit cycle. We further analyse the system under impulsive releasing of virus and predator.

An Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints

2010 ◽  
Vol 6 (3) ◽  
Author(s):  
Harry Dankowicz ◽  
Frank Schilder
Keyword(s):  
Dynamical System ◽  
Periodic Orbits ◽  
Bifurcation Analysis ◽  
The Other ◽  
Extended Formulation ◽  
Hybrid Dynamical System ◽  
Families Of Periodic Orbits ◽  
Continuation Problem ◽  
The One ◽  
Additional Constraints

This paper presents an extended formulation of the basic continuation problem for implicitly defined, embedded manifolds in Rn. The formulation is chosen so as to allow for the arbitrary imposition of additional constraints during continuation and the restriction to selective parametrizations of the corresponding higher-codimension solution manifolds. In particular, the formalism is demonstrated to clearly separate between the essential functionality required of core routines in application-oriented continuation packages, on the one hand, and the functionality provided by auxiliary toolboxes that encode classes of continuation problems and user definitions that narrowly focus on a particular problem implementation, on the other hand. Several examples are chosen to illustrate the formalism and its implementation in the recently developed continuation core package COCO and auxiliary toolboxes, including the continuation of families of periodic orbits in a hybrid dynamical system with impacts and friction as well as the detection and constrained continuation of selected degeneracies characteristic of such systems, such as grazing and switching-sliding bifurcations.

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