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 JAMP  Vol.6 No.2 , February 2018
Criteria for Instability and Chaos in Nonlinear Systems
Abstract: In the article, the methods of investigating the instability that were formulated earlier by the authors are systematized in the form of a set of criteria for the instability and chaos. The latest ones are used to study chaotic dynamics in the problems of Sprott and the nonlinear electronic generator of the CRC.
Cite this paper: Perevoznikov, E. and Skvortsov, H. (2018) Criteria for Instability and Chaos in Nonlinear Systems. Journal of Applied Mathematics and Physics, 6, 382-388. doi: 10.4236/jamp.2018.62036.
References

[1]   Perevoznikov, E.N. and Skvortsov, H.E. (2014) Fizicheskaya neustoychivost’ i kachestvennyye perekhody. Materialy X miedzynarodwej naukowi-praktycznej konferencji. Польша, Przemysl май, 30, 79-84.

[2]   Skvortsov, H.E. and Perevoznikov, E.N. (2014) Dinamicheskiye kachestvennyye perekhody, Materialy X miedzynarodwej naukowi-praktycznej konferencji. Evropeyskaya nauka ХХ1 veka (Pol’sha, Przemysl), 31, 82-84.

[3]   Perevoznikov, E.N. (2006) Metody analiza ustoychivosti neravnovesnykh system. Izv. Vuzov, Fizika, 10, 34-39.

[4]   Skvortsov, H.E. and Perevoznikov, E.N. (2015) Singulyarno-dinamicheskiye kriterii neustoychivosti i khaosa, Mezhdunarodnyy nauchno-issledovatel’skiy zhurnal. Fiziko-Matematicheskiye Nauki, 9, 91-93.

[5]   Perevoznikov, E. and Mikhailova, O. (2015) Neutrality Criteria for Stability Analysis of Dynamical Systems through Lorentz and Rossler Model Problems. Journal of Applied Mathematics and Physics, 5, 569-576.

[6]   Kuznetsov, S.P. (2006) Dinamicheskiy Khaos. 356 с.

 
 
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