A New Category of Three-Dimensional Chaotic Flows with Identical Eigenvalues

DOI10.1142/S0218127420500261zbMath1445.34038OpenAlexW3011923508MaRDI QIDQ5222624

Zahra Faghani, Sajad Jafari, Fahimeh Nazarimehr, Julien Clinton Sprott

Publication date: 6 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500261

zbMATH Keywords

bifurcation diagramchaotic systemidentical eigenvalue

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Cites Work

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• Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
• On the periodic orbit bifurcating from one single non-hyperbolic equilibrium in a chaotic jerk system
• Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium
• Erratum to: ``Simple chaotic flows with a line equilibrium
• Simple chaotic flows with a line equilibrium
• Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
• Detecting chaos in fractional-order nonlinear systems using the smaller alignment index
• Determining Lyapunov exponents from a time series
• Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
• Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system
• Elementary quadratic chaotic flows with no equilibria
• An equation for continuous chaos
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Hidden Hyperchaotic Attractors in a Modified Lorenz–Stenflo System with Only One Stable Equilibrium
• Infinite Multistability in a Self-Reproducing Chaotic System
• Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System
• Degenerate Hopf bifurcations, hidden attractors, and control in the extended Sprott E system with only one stable equilibrium
• Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
• SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
• Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo

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