On nonlinear oscillations of Hamiltonian system in case of fourth order resonance

Nelineinaya Dinamika ◽

10.20537/nd0701004 ◽

2007 ◽

pp. 57-74 ◽

Cited By ~ 1

Author(s):

B. S. Bardin ◽

Keyword(s):

Hamiltonian System ◽

Fourth Order ◽

Nonlinear Oscillations ◽

Order Resonance

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On nonlinear motions of Hamiltonian system in case of fourth order resonance

Regular and Chaotic Dynamics ◽

10.1134/s156035470701008x ◽

2007 ◽

Vol 12 (1) ◽

pp. 86-100 ◽

Cited By ~ 5

Author(s):

B. S. Bardin

Keyword(s):

Hamiltonian System ◽

Fourth Order ◽

Order Resonance ◽

Nonlinear Motions

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On the Stability of Periodic Motions of an Autonomous Hamiltonian System in a Critical Case of the Fourth-order Resonance

Regular and Chaotic Dynamics ◽

10.1134/s1560354717070012 ◽

2017 ◽

Vol 22 (7) ◽

pp. 773-781 ◽

Cited By ~ 2

Author(s):

Anatoly P. Markeev

Keyword(s):

Hamiltonian System ◽

Fourth Order ◽

Critical Case ◽

Periodic Motions ◽

Order Resonance ◽

Autonomous Hamiltonian System ◽

The Stability

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The critical case of fourth-order resonance in a hamiltonian system with one degree of freedom

Journal of Applied Mathematics and Mechanics ◽

10.1016/s0021-8928(97)00045-2 ◽

1997 ◽

Vol 61 (3) ◽

pp. 355-361 ◽

Cited By ~ 4

Author(s):

A.P. Markeyev

Keyword(s):

Hamiltonian System ◽

Fourth Order ◽

Critical Case ◽

Degree Of Freedom ◽

Order Resonance

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Non-linear oscillations of a hamiltonian system with one degree of freedom and fourth-order resonance

Journal of Applied Mathematics and Mechanics ◽

10.1016/s0021-8928(98)00113-0 ◽

1998 ◽

Vol 62 (6) ◽

pp. 883-892

Author(s):

O.V. Kholostova

Keyword(s):

Hamiltonian System ◽

Fourth Order ◽

Degree Of Freedom ◽

Order Resonance ◽

Non Linear

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Nonlinear oscillations of fourth order quasilinear ordinary differential equations

Acta Mathematica Hungarica ◽

10.1007/s10474-011-0127-x ◽

2011 ◽

Vol 132 (3) ◽

pp. 207-222 ◽

Cited By ~ 5

Author(s):

Ken-ichi Kamo ◽

Hiroyuki Usami

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Nonlinear Oscillations

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Stability in the Regular Precession of an Asymmetrical Gyroscope in the Critical Case of Fourth-Order Resonance

Doklady Physics ◽

10.1134/s1028335818070078 ◽

2018 ◽

Vol 63 (7) ◽

pp. 297-301 ◽

Cited By ~ 1

Author(s):

A. P. Markeev

Keyword(s):

Fourth Order ◽

Critical Case ◽

Order Resonance ◽

Regular Precession

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Fourth order resonance of a high intensity linear accelerator

Physical Review Special Topics - Accelerators and Beams ◽

10.1103/physrevstab.12.054204 ◽

2009 ◽

Vol 12 (5) ◽

Cited By ~ 21

Author(s):

D. Jeon ◽

L. Groening ◽

G. Franchetti

Keyword(s):

Fourth Order ◽

High Intensity ◽

Linear Accelerator ◽

Order Resonance

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Envelope instability and the fourth order resonance

Physical Review Special Topics - Accelerators and Beams ◽

10.1103/physrevstab.17.124202 ◽

2014 ◽

Vol 17 (12) ◽

Cited By ~ 17

Author(s):

Chao Li ◽

Ya Liang Zhao

Keyword(s):

Fourth Order ◽

Order Resonance

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On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(77)90083-1 ◽

1977 ◽

Vol 41 (1) ◽

pp. 20-28 ◽

Cited By ~ 17

Author(s):

A.G. Sokol'skii

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Order Resonance ◽

First Order ◽

Autonomous Hamiltonian System

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On the Constructive Algorithm for Stability Investigation of an Equilibrium Point of a Periodic Hamiltonian System with Two Degrees of Freedom in First-Order Resonance Case

Mechanics of Solids ◽

10.3103/s0025654418050023 ◽

2018 ◽

Vol 53 (S2) ◽

pp. 15-25

Author(s):

B. S. Bardin ◽

E. A. Chekina

Keyword(s):

Hamiltonian System ◽

Equilibrium Point ◽

Degrees Of Freedom ◽

Resonance Case ◽

Two Degrees Of Freedom ◽

Order Resonance ◽

Stability Investigation ◽

First Order ◽

Constructive Algorithm ◽

Periodic Hamiltonian System

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