6533b827fe1ef96bd1285a3d

RESEARCH PRODUCT

Chaotic behavior in deformable models: the double-well doubly periodic oscillators

Timoléon C. KofanéTimoléon C. KofanéP. Tchofo-dindaE. CoquetLaurent Nana

subject

General MathematicsApplied MathematicsComputationMathematical analysisChaoticGeneral Physics and AstronomyMotion (geometry)Statistical and Nonlinear PhysicsLyapunov exponentBifurcation diagramNonlinear Sciences::Chaotic Dynamicssymbols.namesakeClassical mechanicsSimple (abstract algebra)Phase spacesymbolsParticleMathematics

description

Abstract The motion of a particle in a one-dimensional perturbed double-well doubly periodic 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. The parameter regions of chaotic behavior predicted by the theoretical analysis agree very well with numerical simulations.

yearjournalcountryeditionlanguage
2001-01-01Chaos, Solitons & Fractals
https://doi.org/10.1016/s0960-0779(99)00170-8