The Dynamics of a Cubic Nonlinear System with No Equilibrium Point | Zendy

Jamal-Odysseas Maaita | Zendy; Christos Volos | Zendy; I. Μ. Kyprianidis | Zendy; I. N. Stouboulos | Zendy

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The Dynamics of a Cubic Nonlinear System with No Equilibrium Point

Author(s) -

Jamal-Odysseas Maaita,

Christos Volos,

I. Μ. Kyprianidis,

I. N. Stouboulos

Publication year - 2015

Publication title -

journal of nonlinear dynamics

Language(s) - English

Resource type - Journals

eISSN - 2356-7503

pISSN - 2314-6893

DOI - 10.1155/2015/257923

Subject(s) - equilibrium point , nonlinear system , lyapunov exponent , chaotic , torus , point (geometry) , dynamics (music) , statistical physics , mathematics , control theory (sociology) , computer science , physics , geometry , control (management) , quantum mechanics , artificial intelligence , acoustics

We study the dynamics of a three-dimensional nonlinear system with cubic nonlinearity and no equilibrium points with the use of Poincaré maps, Lyapunov Exponents, and bifurcations diagrams. The system has rich dynamics: chaotic behavior, regular orbits, and 3-tori periodicity. Finally, the proposed system is also reported to verify electronic circuit modeling feasibility

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