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- Ch Skokos
- 2001

We introduce a new, simple and efficient method for determining the ordered or chaotic nature of orbits in two-dimensional (2D), four-dimensional (4D) and six-dimensional (6D) symplectic maps: theâ€¦ (More)

We use the smaller alignment index (SALI) to distinguish rapidly and with certainty between ordered and chaotic motion in Hamiltonian flows. This distinction is based on the different behaviour ofâ€¦ (More)

- Ch Skokos, D. O. Krimer, S Komineas, Sergej Flach
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We consider the spatiotemporal evolution of a wave packet in disordered nonlinear SchrÃ¶dinger and anharmonic oscillator chains. In the absence of nonlinearity all eigenstates are spatially localizedâ€¦ (More)

- Sergej Flach, D. O. Krimer, Ch Skokos
- Physical review letters
- 2009

In the absence of nonlinearity all eigenmodes of a chain with disorder are spatially localized (Anderson localization). The width of the eigenvalue spectrum and the average eigenvalue spacing insideâ€¦ (More)

- Ch Skokos, Enrico Gerlach
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

We present and compare different numerical schemes for the integration of the variational equations of autonomous Hamiltonian systems whose kinetic energy is quadratic in the generalized momenta andâ€¦ (More)

- Joshua D Bodyfelt, T. V. Laptyeva, Ch Skokos, D. O. Krimer, Sergej Flach
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos duringâ€¦ (More)

The bifurcations of a class of mappings including the beamâ€“beam map are examined. These maps are asymptotically linear at infinity where they exhibit invariant curves and elliptic periodic points.â€¦ (More)

- Ch Skokos, Sergej Flach
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

We study the spreading of single-site excitations in one-dimensional disordered Klein-Gordon chains with tunable nonlinearity |u(l)|(Ïƒ)u(l) for different values of Ïƒ. We perform extensive numericalâ€¦ (More)

- Ch Skokos, Ioannis Gkolias, Sergej Flach
- Physical review letters
- 2013

Do nonlinear waves destroy Anderson localization? Computational and experimental studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics and phase decoherence assumptionsâ€¦ (More)

We develop a Hamiltonian control theory suitable for a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed toâ€¦ (More)