On Existence of Heteroclinic Connections in Discontinuous Kurland–Levi Differential Equations with Slowly Varying Coefficients

We study the existence of heteroclinic solutions for discontinuous Kurland–Levi differential equations with slowly varying coefficients. Our main results follow from our recent general theorem concerning heteroclinic solutions in singularly perturbed discontinuous differential equations. We apply the new analytical results to concrete examples and give numerical simulations.

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Publication Details

Journal
International Journal of Bifurcation and Chaos
Published
2024-12-03
DOI
https://doi.org/10.1142/s0218127424502080
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

On Existence of Heteroclinic Connections in Discontinuous Kurland–Levi Differential Equations with Slowly Varying Coefficients

JinRong Wang, Flaviano Battelli, Mičhal Fĕckan
International Journal of Bifurcation and Chaos
Differential Equations and Numerical Methods
article

On Existence of Heteroclinic Connections in Discontinuous Kurland–Levi Differential Equations with Slowly Varying Coefficients

JinRong Wang, Flaviano Battelli, Mičhal Fĕckan
article en

Abstract

We study the existence of heteroclinic solutions for discontinuous Kurland–Levi differential equations with slowly varying coefficients. Our main results follow from our recent general theorem concerning heteroclinic solutions in singularly perturbed discontinuous differential equations. We apply the new analytical results to concrete examples and give numerical simulations.

International Journal of Bifurcation and ChaosVol. 34(16)
Guizhou University (CN), University of Urbino (IT), Slovak Academy of Sciences (SK), Comenius University Bratislava (SK)
National Natural Science Foundation of China, Agentúra na Podporu Výskumu a Vývoja
Openalex Percentile: Top 66%
Differential Equations and Numerical Methods
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On Existence of Heteroclinic Connections in Discontinuous Kurland–Levi Differential Equations with Slowly Varying Coefficients — JinRong Wang, Flaviano Battelli, et al. · International Journal of Bifurcation and Chaos (2024) | TGRS Research Map | TGRS