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Melnikov theory for nonlinear implicit ODEs

Published:2014-02 Issue:3 Volume:256 Page:1157-1190
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Battelli Flaviano,Fečkan Michal

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference23 articles.

1. Topological Principles for Boundary Value Problems;Andres,2003

2. F. Battelli, C. Fečkan, Nonlinear RLC Circuits and Implicit ODEs, submitted for publication.

3. Exponential dichotomies, heteroclinic orbits, and Melnikov functions;Battelli;J. Differential Equations,1990

4. Melʼnikov methods and homoclinic orbits in discontinuous systems;Calamai;J. Dynam. Differential Equations,2013

5. Ordinary Differential Equations with Applications;Chicone,2006

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows;SIAM Journal on Applied Dynamical Systems;2022-12-09

2. General Melnikov Approach to Implicit ODE’s;Journal of Dynamics and Differential Equations;2020-06-29

3. On the Exponents of Exponential Dichotomies;Mathematics;2020-04-23

4. On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits;Discrete & Continuous Dynamical Systems - B;2017

5. On the Position of Chaotic Trajectories;Journal of Dynamics and Differential Equations;2016-02-16

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