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World Scientific Publishing, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13(29), p. 1950176, 2019

DOI: 10.1142/s0218127419501761

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A New Megastable Oscillator with Rational and Irrational Parameters

Journal article published in 2019 by Zhen Wang ORCID, Ibrahim Ismael Hamarash, Payam Sadeghi Shabestari, Sajad Jafari ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

In this paper, a new two-dimensional nonlinear oscillator with an unusual sequence of rational and irrational parameters is introduced. This oscillator has endless coexisting limit cycles, which make it a megastable dynamical system. By periodically forcing this system, a new system is designed which is capable of exhibiting an infinite number of coexisting asymmetric torus and strange attractors. This system is implemented by an analog circuit, and its Hamiltonian energy is calculated.