Institute for Complex Systems - Sapienza - CNR

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ISC Sapienza Dynamical Systems

Dynamical Systems

Dynamical systems and its connection with statistical mechanics

Publications >>

 

Role of microscopic chaos to macroscopic transport

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The discovery that simple deterministic nonlinear systems could display dynamical evolution characterized by a randomness similar to stochastic processes changed very much researchers' attitude toward determinism and predictability of natural phenomena. Determinstic chaos has been successfully invoked to interpret several irregular behaviors, however its role to the fundaments of statistical physics still remains debated in modern statistical mechanics. In other terms, one is tempted to think that a macroscopic system with chaotic microscopic interactions is more robust with respect to statistical mechanical principles thant the same system with non-chaotic interactions. This particularly controversial issue concerns the role of deterministic chaos for the validity and consistency of statistical approaches.

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Synchronization of extended systems

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Synchronization is a long known phenomenon dating back to Huygens experiments who observed that suspending two pendula "...in the same wooden beam, the motions of each pendulum in opposite swings were so much in agreement that they never receded the least bit from each other and the sound of each was always heard simultaneously". In spite of the early discovery, the phenomenon was fully understood much later with the experiments and theoretical analysis of E. V. Appleton and B. Van der Pol in the 20s of last century. Nowadays we know that suitable coupled nonlinear systems can synchronize and that the synchronization can be realized also in chaotic systems.

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