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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2004.08643 |
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| _version_ | 1866909963392122880 |
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| author | Hu, Xijun Portaluri, Alessandro Wu, Li Xing, Qin |
| author_facet | Hu, Xijun Portaluri, Alessandro Wu, Li Xing, Qin |
| contents | The purpose of this paper is to prove a new, more general version of the Morse index theorem for heteroclinic, homoclinic, and half-clinic solutions in general Lagrangian systems. In the final section, we compute the Morse index for specific heteroclinic and half-clinic solutions in classical mechanical models such as the mathematical pendulum, the Nagumo equation, and a four-dimensional competition-diffusion system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_08643 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Morse index theorem for heteroclinic, homoclinic and halfclinic orbits of Lagrangian systems Hu, Xijun Portaluri, Alessandro Wu, Li Xing, Qin Dynamical Systems Classical Analysis and ODEs 58J30, 53D12, 37C29, 37J45, 70K44, 58J20 The purpose of this paper is to prove a new, more general version of the Morse index theorem for heteroclinic, homoclinic, and half-clinic solutions in general Lagrangian systems. In the final section, we compute the Morse index for specific heteroclinic and half-clinic solutions in classical mechanical models such as the mathematical pendulum, the Nagumo equation, and a four-dimensional competition-diffusion system. |
| title | Morse index theorem for heteroclinic, homoclinic and halfclinic orbits of Lagrangian systems |
| topic | Dynamical Systems Classical Analysis and ODEs 58J30, 53D12, 37C29, 37J45, 70K44, 58J20 |
| url | https://arxiv.org/abs/2004.08643 |