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DYNAMICAL BEHAVIORS OF A VAN DER POL-DUFFING OSCILLATOR WITH INDEFINITE DEGREE

delete2026-03-01
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PRE
AI
C
Chen, Hebai
Z
Zhaosheng Feng
Z
Zhijie Li *
W
Wang, Zhaoxia
DOI：10.3934/cpaa.2026027delete
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Abstract

Abstract

En 中文
In this paper, we study a van der Pol-Duffing oscillator with indefinite degree in the Poincare disc. Some fascinating and rich dynamics are presented, including abundant nonlinear phenomena such as limit cycles, figureeight loops, and saddle connections, thereby providing the complete global structure.
Keywords:
indefinite degree
bifurcation
global phase portrait
Poincare disc
limit cycle
figure-eight loop
Van der Pol-Duffing oscillator

Journal

C
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
IF:
0.9
Papers:
88
Citations:
0

Organization

C
central south university
Scholars:
1.7W
Papers: 5.0K
Citations: 3
U
University of Texas Rio Grande Valley
Scholars:
160
Papers: 109
Citations: 1
U
university of texas system
Scholars:
18.3W
Papers: 15.5W
Citations: 210
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