# Index theory for heteroclinic orbits of Hamiltonian systems

@article{Hu2017IndexTF, title={Index theory for heteroclinic orbits of Hamiltonian systems}, author={Xijun Hu and Alessandro Portaluri}, journal={Calculus of Variations and Partial Differential Equations}, year={2017}, volume={56}, pages={1-24} }

Index theory revealed its outstanding role in the study of periodic orbits of Hamiltonian systems and the dynamical consequences of this theory are enormous. Although the index theory in the periodic case is well-established, very few results are known in the case of homoclinic orbits of Hamiltonian systems. Moreover, to the authors’ knowledge, no results have been yet proved in the case of heteroclinic and halfclinic (i.e. parametrized by a half-line) orbits. Motivated by the importance played…

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