Relative Morse Index and Its Application to Hamiltonian Systems in the Presence of Symmetries

Journal of Differential Equations ◽

10.1006/jdeq.1995.1150 ◽

1995 ◽

Vol 122 (2) ◽

pp. 302-315 ◽

Author(s):

G.H. Fei

Keyword(s):

Hamiltonian Systems ◽

Morse Index ◽

Relative Morse Index

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The relative Morse index theory for infinite dimensional Hamiltonian systems with applications

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.02.020 ◽

2015 ◽

Vol 427 (1) ◽

pp. 17-30 ◽

Author(s):

Qi Wang ◽

Chungen Liu

Keyword(s):

Hamiltonian Systems ◽

Morse Index ◽

Index Theory ◽

Infinite Dimensional ◽

Relative Morse Index

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Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries

Journal of Differential Equations ◽

10.1016/j.jde.2008.04.020 ◽

2008 ◽

Vol 245 (4) ◽

pp. 925-938 ◽

Author(s):

Duanzhi Zhang

Keyword(s):

Hamiltonian Systems ◽

Morse Index ◽

Asymptotically Linear ◽

Brake Orbits ◽

Relative Morse Index ◽

Linear Hamiltonian Systems

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A relative morse index for the symplectic action

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160410402 ◽

1988 ◽

Vol 41 (4) ◽

pp. 393-407 ◽

Author(s):

Andreas Floer

Keyword(s):

Morse Index ◽

Relative Morse Index ◽

Symplectic Action

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Morse index and deformations of Hamiltonian systems

Ukrainian Mathematical Journal ◽

10.1007/bf01066550 ◽

1985 ◽

Vol 36 (4) ◽

pp. 338-343 ◽

Author(s):

V. S. Bondarchuk

Keyword(s):

Hamiltonian Systems ◽

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A priori bounds via the relative Morse index of solutions of an elliptic system

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2009.027 ◽

2009 ◽

Vol 36 (1) ◽

pp. 21 ◽

Author(s):

Miguel Ramos

Keyword(s):

Elliptic System ◽

Morse Index ◽

A Priori ◽

A Priori Bounds ◽

Relative Morse Index

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Relative Morse Index

Index theory in nonlinear analysis ◽

10.1007/978-981-13-7287-2_3 ◽

2019 ◽

pp. 35-54

Author(s):

Chungen Liu

Keyword(s):

Morse Index ◽

Relative Morse Index

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The relative Morse index

Morse Theory for Hamiltonian Systems ◽

10.1201/9781482285741-7 ◽

2001 ◽

pp. 55-74

Keyword(s):

Morse Index ◽

Relative Morse Index

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Dual Morse index estimates for periodic solutions of Hamiltonian systems in some nonconvex superquadratic cases

Nonlinear Analysis ◽

10.1016/0362-546x(91)90143-o ◽

1991 ◽

Vol 17 (5) ◽

pp. 481-497 ◽

Author(s):

Mario Girardi ◽

Michele Matzeu

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

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Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system

Applicable Analysis ◽

10.1080/00036811.2021.1955862 ◽

2021 ◽

pp. 1-18

Author(s):

Yuan Shan

Keyword(s):

Hamiltonian System ◽

Morse Index ◽

Homoclinic Orbits ◽

Relative Morse Index

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Port-Hamiltonian Systems Theory: An Introductory Overview

10.1561/9781601987877 ◽

2014 ◽

Author(s):

Arjan van der Schaft ◽

Dimitri Jeltsema

Keyword(s):

Systems Theory ◽

Hamiltonian Systems ◽

Introductory Overview

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