The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.2K citations

Universal Instability, Physics, Bifurcation Theory +2

Transition Curves for the Quasi-Periodic Mathieu Equation

Randolph S. Zounes, Richard H. Rand · SIAM Journal on Applied Mathematics · 1998 · 101 citations

Elliptic Equation, Physics, Qp Mathieu Equation +9

Asymptotic study of the convective parametric instability in Hele-Shaw cell

Saı̈d Aniss, M. Souhar, M. Belhaq · Physics of Fluids · 2000 · 49 citations

Linear Study, Engineering, Physics +12

2:2:1 Resonance in the Quasiperiodic Mathieu Equation

Richard H. Rand, Kamar Guennoun, M. Belhaq · Nonlinear Dynamics · 2003 · 49 citations

Subharmonic resonance in the non-linear Mathieu equation

Randolph S. Zounes, Richard H. Rand · International Journal of Non-Linear Mechanics · 2002 · 47 citations

Physics, Nonlinear Wave Propagation, Nonlinear Hyperbolic Problem +2