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Conference publications

Abstracts

XXI conference

Synchronization and chaos in a system of two inductively coupled thermistor autogenerators

Melkikh A.V., Beregov R.J.

620002, Ekaterinburg, K-2, st. Peace, 21 (5th academic building Ural State Technical University). The Department of Technical (molecular) physics.

1 pp. (accepted)

First studied the system of two inductively coupled self-oscillators based on the self-heating effect [1]. Obtained parametrically dependent areas of the onset of different types of synchronization and desynchronization :

• The presence of chaotic behavior

• Complete in-phase synchronization

• Common synchronization

• Frequency Synchronization

• Dissynchronization

The term "sync" in this context is understood as the difference signals at several harmonics of the main harmonic expansion . Chaos in the system was determined by calculating the number of Lyapunov by the algorithm [2]. The system is dissipative , revealed a strong dependence of the evolution of the initial conditions , indicating that the deterministic chaos . Calculation Lyapunov properties showed the presence of one positive indicator that indicates the presence of an unstable one direction. The system revealed complex depending on the strength of the interaction , which indicates the need to study this effect in conjunction with the type of interaction .



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