SIMPLEST 3D CONTINUOUS-TIME QUADRATIC SYSTEMS AS CANDIDATES FOR GENERATING MULTISCROLL CHAOTIC ATTRACTORS

DOI10.1142/S0218127413501204zbMath1275.34016MaRDI QIDQ2864943

Julien Clinton Sprott, Zeraoulia Elhadj

Publication date: 27 November 2013

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

zbMATH Keywords

classification\(n\)-scroll chaotic attractors3D quadratic continuous time systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (5)

Periodic Orbits Bifurcating from a Nonisolated Zero–Hopf Equilibrium of Three-Dimensional Differential Systems Revisited ⋮ Design and implementation of grid multi-scroll fractional-order chaotic attractors ⋮ A Tribute to J. C. Sprott ⋮ New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes ⋮ Master-slave synchronization of 4D hyperchaotic Rabinovich systems

Cites Work

• A three-scroll chaotic attractor
• 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system
• Generating multi-scroll chaotic attractors by thresholding
• A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system
• CAN A THREE-DIMENSIONAL SMOOTH AUTONOMOUS QUADRATIC CHAOTIC SYSTEM GENERATE A SINGLE FOUR-SCROLL ATTRACTOR?
• A time-varying complex dynamical network model and its controlled synchronization criteria

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