Approximate first integrals of weakly nonlinear, damped-driven oscillators with one degree of freedom

Nonlinear Dynamics

Volumn 26, Issue 4, 2001, Pages 309-329

  Unal, Gazanfer ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Approximate first integrals; Approximate symmetries; Bifurcations; Resonances

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); DAMPING; DEGREES OF FREEDOM (MECHANICS); INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; RESONANCE; THEOREM PROVING;

APPROXIMATE FIRST INTEGRALS; APPROXIMATE SYMMETRIES; NOETHER THEOREM; NONLINEAR OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 0035705813     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013331523696     Document Type: Article

References (11)

1. Intermittencies and power-law low-frequency divergencies in a nonlinear oscillator
2. Mechanics of ship capsize under direct and parametric wave excitation
3. Melnikov analysis for a ship with a general roll-damping model
4. Approximate symmetries
5. Periodic solutions and approximate symmetries
6. Approximate generalized symmetries, normal forms and approximate first integrals
7. On constructing formal integrals of a Hamiltonian system near an equilibrium point