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Observation of Synchronization in Coupled Chaotic Oscillators

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Title Observation of Synchronization in Coupled Chaotic Oscillators
 
Creator Bhowmick, Sourav Kumar
 
Subject Nonlinear Dynamics
 
Description The word synchronization comes from Greek word “sunkhronos: sun-, syn- + khronos, time” meaning sharing a common time. In general, it maintains the same meaning, as correlation or agreement in time of different processes [1]. Studies of synchronization started in the 17th century when Christiaan Huygens first discovered that two pendulum clocks hanging from a wooden beam synchronized either inphase or antiphase [2]. Two other very interesting cases were reported much later, the flashing of fireflies in unison [3] and the peculiarities of adjustment of organ pipes [4].
Many more examples of synchronization those exist in nature were reported in the last two decade such as cardio-respiratory synchrony [5], the crowd synchrony [6] in the
millennium bridge [7], London and quorum sensing of bacteria [8]. In the last two decades, the interest in the studies of synchronization also included chaotic
systems. A dynamical system is called chaotic, in simple words, if its solution is sensitive to initial conditions but still bounded. Another important characteristic of chaos is its broad frequency spectrum. It was a common notion that the chaotic systems evolving in time, started from two different initial conditions, cannot synchronize. So the studies of collective behavior of chaotic systems were of great interest. Finally, it was first reported
in 1990 [9] that synchronization of two chaotic systems is possible under strong coupling. Although a similar work on chaos synchronization was published earlier in 1983[10] but
it was not well known to the nonlinear dynamics community.
 
Date 2013
 
Type Thesis
NonPeerReviewed
 
Format application/pdf
 
Identifier http://www.eprints.iicb.res.in/2444/1/SOURAV_KUMAR_BHOWMICK__THESIS_for_CD.pdf
Bhowmick, Sourav Kumar (2013) Observation of Synchronization in Coupled Chaotic Oscillators. PhD thesis, JU.
 
Relation http://www.eprints.iicb.res.in/2444/