Global behavior of a nonlinear quasiperiodic Mathieu equation

Nonlinear Dynamics

Volumn 27, Issue 1, 2002, Pages 87-105

  Zounes, Randolph S ^a   Rand, Richard H ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

Elliptic functions; Lie transforms; Nonlinear quasiperiodic Mathieu equation; Resonance

Indexed keywords

CONFORMAL MAPPING; HAMILTONIANS; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; RESONANCE;

ELLIPTIC FUNCTIONS; GLOBAL BEHAVIOR; LIE TRANSFORMS; NONLINEAR QUASIPERIODIC MATHIEU EQUATION;

NONLINEAR EQUATIONS;

EID: 0036190604     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017931712099     Document Type: Article

References (8)

1. A universal instability of many-dimensional oscillator systems
2. On the torus flow y′ = a + b cos y + c cos x and its relation to the quasiperiodic Mathieu equation
3. Dynamics of a quasiperiodically forced Mathieu oscillator
4. An analysis of the nonlinear quasiperiodic Mathieu equation
5. Subharmonic resonance in the nonlinear Mathieu equation
6. Transition curves for the quasiperiodic Mathieu equation