Assessing the Non-Linear Dynamics of a Hopf-Langford Type System

被引：3
|
作者：
Nikolov, Svetoslav G. [1 ,2 ]
Vassilev, Vassil M. [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Mech, Acad G Bonchev Str,Bl 4, Sofia 1113, Bulgaria
[2] Univ Transport, Dept Mech, Geo Milev Str 158, Sofia 1574, Bulgaria
来源：
MATHEMATICS | 2021年 / 9卷 / 18期
关键词：
analysis; synchronization; nonlinear dynamics; Hopf-Langford system; STEADY-STATE; INTEGRABILITY; BIFURCATIONS; BEHAVIOR;
D O I：
10.3390/math9182340
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the non-linear dynamical behavior of a 3D autonomous dissipative system of Hopf-Langford type is investigated. Through the help of a mode transformation (as the system's energy is included) it is shown that the 3D nonlinear system can be separated of two coupled subsystems in the master (drive)-slave (response) synchronization type. After that, based on the computing first and second Lyapunov values for master system, we have attempted to give a general framework (from bifurcation theory point of view) for understanding the structural stability and bifurcation behavior of original system. Moreover, a family of exact solutions of the master system is obtained and discussed. The effect of synchronization on the dynamic behavior of original system is also studied by numerical simulations.
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页数：14
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