Role of logistic and Ricker's maps in appearance of chaos in autonomous quadratic dynamical systems

DOI10.1007/s11071-015-2360-2zbMath1349.37022OpenAlexW1762349525MaRDI QIDQ331270

Vasiliy Ye. Belozyorov, Svetlana A. Volkova

Publication date: 26 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://eadnurt.diit.edu.ua/jspui/handle/123456789/4799

zbMATH Keywords

chaoslimit cycle1D discrete mapordinary autonomous quadratic differential equations systemsaddle focus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems ⋮ A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points ⋮ Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems ⋮ Universal approach to the problem of emergence of chaos in autonomous dynamical systems ⋮ Dynamics of q deformed Ricker map

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