arXiv subjects

Eok-Kyun Lee

Publications and source records attributed to Eok-Kyun Lee.

2 recordsLinked to original sources

arXiv2007

Lyapunov instability of rigid diatomic molecules in three dimensions - a simpler method

We present a new method to calculate Lyapunov exponents of rigid diatomic molecules in three dimensions (12N dimensional phase space). The spectra of Lyapunov exponents are obtained for 32 rigid diatomic molecules interacting through the Weeks-Chandler-Anderson(WCA) potential for various bond length and densities, and compared with those in Y.-H. Shin et al. [Phys. Rev. E 64, 041106 (2001)]. Our algorithm is easy to implement and total CPU time is relatively inexpensive.

cond-mat.stat-mech↗

arXiv2004

Origin of the Transition Inside the Desynchronized State in Coupled Chaotic Oscillators

We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is $ \propto \exp(α|ε_t -ε|^{3/2})$ for $ε_t -ε<0$ and $ \propto (ε_t -ε)^{-1/2}$ for $ε_t -ε>0$, where $ $ is the average length of the phase locking state and $ε$ is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.

nlin.CD↗