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Existence of nonlinear normal modes of symmetric Hamiltonian systems
| Content Provider | Scilit |
|---|---|
| Author | Montaldi, J. Roberts, M. Stewart, I. |
| Copyright Year | 1990 |
| Description | Journal: Nonlinearity The authors analyse the existence of nonlinear normal modes of a (nonlinear) Hamiltonian system, i.e. periodic solutions that approximate periodic solutions of the system linearised around an elliptic (and semisimple) equilibrium point. In particular they consider systems with symmetry, including time-reversible symmetry which involves an antisymplectic operator. The general form for such a system contains free parameters (Taylor series coefficients), and their aim is to calculate how the number of nonlinear normal modes varies with these parameters. |
| Related Links | http://iopscience.iop.org/article/10.1088/0951-7715/3/3/009/pdf |
| Ending Page | 730 |
| Page Count | 36 |
| Starting Page | 695 |
| ISSN | 09517715 |
| e-ISSN | 13616544 |
| DOI | 10.1088/0951-7715/3/3/009 |
| Journal | Nonlinearity |
| Issue Number | 3 |
| Volume Number | 3 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1990-08-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Nonlinearity Symmetric Hamiltonian Hamiltonian Systems Existence of Nonlinear Equilibrium Point Nonlinear Normal Modes Periodic Solutions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics |
