Nonexistence theorem except the out-of-phase and in-phase solutions in the coupled van der Pol equation system

• Date: 2009
• Main Authors: Nohara, B. T., Нохара, Б. Т.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3084
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a coupled van der Pol equation system. Our coupled system consists of two van der Pol equations that are connected with each other by linear terms. We assume that two distinctive solutions (out-of-phase and in-phase solutions) exist in the dynamical system of coupled equations and give a...