Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation

Xia, Yibo; He, Jingwei; Kurths, Jürgen; Bi, Qinsheng

doi:10.1142/S0218127423500931

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation

Authors

Xia, Yibo
External Organizations;

He, Jingwei
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

Bi, Qinsheng
External Organizations;

URL

There are no locators available

フルテキスト (公開)

There are no public fulltexts stored in PIKpublic

付随資料 (公開)

There is no public supplementary material available

引用

Xia, Y., He, J., Kurths, J., & Bi, Q. (2023). Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation. International Journal of Bifurcation and Chaos, 33(8):. doi:10.1142/S0218127423500931.

引用: https://publications.pik-potsdam.de/pubman/item/item_29114

要旨

We study the influence of the coexisting steady states in high-dimensional systems on the dynamical evolution of the vector field when a slow-varying periodic excitation is introduced. The model under consideration is a coupled system of Bonhöffer–van der Pol (BVP) equations with a slow-varying periodic excitation. We apply the modified slow–fast analysis method to perform a detailed study on all the equilibrium branches and their bifurcations of the generalized autonomous system. According to different dynamical behaviors, we explore the dynamical evolution of existing attractors, which reveals the coexistence of a quasi-periodic attractor with diverse types of bursting attractors. Further investigation shows that the coexisting steady states may cause spiking oscillations to behave in combination of a 2D torus and a limit cycle. We also identify a period-2 cycle bursting attractor as well as a quasi-periodic attractor according to the period-2 limit cycle.