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  1. No Access

    Article

    Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi–Pasta–Ulam lattices by the Generalized Alignment Index method

    The recently introduced GALI method is used for rapidly detecting chaos, determining the dimensionality of regular motion and predicting slow diffusion in multi-dimensional Hamiltonian systems. We propose an e...

    C. Skokos, T. Bountis, C. Antonopoulos in The European Physical Journal Special Topics (2008)

  2. No Access

    Article

    Chimera states in a two–population network of coupled pendulum–like elements

    More than a decade ago, a surprising coexistence of synchronous and asynchronous behavior called the chimera state was discovered in networks of nonlocally coupled identical phase oscillators. In later years, ...

    T. Bountis, V. G. Kanas, J. Hizanidis… in The European Physical Journal Special Topi… (2014)

  3. Article

    The science of complexity and the role of mathematics

    In the middle of the second decade of the 21st century, Complexity Science has reached a turning point. Its rapid advancement over the last 30 years has led to remarkable new concepts, methods and techniques,...

    T. Bountis, J. Johnson, A. Provata… in The European Physical Journal Special Topi… (2016)

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    Article

    From mechanical to biological oscillator networks: The role of long range interactions

    The study of one-dimensional particle networks of Classical Mechanics, through Hamiltonian models, has taught us a lot about oscillations of particles coupled to each other by nearest neighbor (short range) i...

    T. Bountis in The European Physical Journal Special Topics (2016)