SYNCHRONIZATION OF MECHANICAL OSCILLATORS EXCITED KINEMATICALLY

In this paper, the behaviour of a system of coupled mechanical oscillators excited kinematically was studied numerically. Several methods of detection of synchronization were shown and advantages of each were mentioned. The relation between Lyapunov exponents and the synchronization state under different kinds of the excitation signal (harmonic, periodic and chaotic ones) was presented. It was demonstrated that the mode locking with excitation was dependent only on inner damping and completely uncorrelated with the connection between oscillators.

[1]  Dennis Gabor,et al.  Theory of communication , 1946 .

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  Michael Rosenblum,et al.  Synchronization and chaotization in interacting dynamical systems , 1995 .

[4]  Tomasz Kapitaniak,et al.  Synchronization of two chaotic oscillators via a negative feedback mechanism , 2003 .

[5]  Steady state locking in coupled chaotic systems , 1996 .

[6]  Przemyslaw Perlikowski,et al.  Ragged synchronizability of coupled oscillators. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  T. Kapitaniak,et al.  MONOTONE SYNCHRONIZATION OF CHAOS , 1996 .

[8]  T. Kapitaniak,et al.  Synchronization of chaos using continuous control. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  S. Boccaletti,et al.  Synchronization of chaotic systems , 2001 .

[10]  T. Carroll,et al.  Master Stability Functions for Synchronized Coupled Systems , 1998 .

[11]  Tomasz Kapitaniak,et al.  Synchronization of mechanical systems driven by chaotic or random excitation , 2003 .

[12]  Kestutis Pyragas Predictable chaos in slightly perturbed unpredictable chaotic systems , 1993 .

[13]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[14]  J. Kurths,et al.  Phase synchronization: from theory to data analysis , 2003 .

[15]  Carroll,et al.  Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[16]  Leon O. Chua,et al.  Practical Numerical Algorithms for Chaotic Systems , 1989 .

[17]  Przemyslaw Perlikowski,et al.  Synchronization of coupled mechanical oscillators , 2006 .