6533b7defe1ef96bd1275acf
RESEARCH PRODUCT
Chaotic behaviour in deformable models: the asymmetric doubly periodic oscillators
Laurent NanaE. CoquetTimoléon C. KofanéTimoléon C. KofanéP. Tchofo-dindasubject
General MathematicsApplied MathematicsComputationMathematical analysisChaoticGeneral Physics and AstronomyMotion (geometry)Statistical and Nonlinear PhysicsLyapunov exponentBifurcation diagramNonlinear Sciences::Chaotic Dynamicssymbols.namesakeSimple (abstract algebra)Phase spacesymbolsMelnikov methodMathematicsdescription
Abstract The motion of a particle in a one-dimensional perturbed asymmetric doubly periodic (ASDP) potential is investigated analytically and numerically. A simple physical model for calculating analytically the Melnikov function is proposed. The onset of chaos is studied through an analysis of the phase space, a construction of the bifurcation diagram and a computation of the Lyapunov exponent. Theory predicts the regions of chaotic behaviour of orbits in a good agreement with computer calculations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-03-01 | Chaos, Solitons & Fractals |