Chaotic Behavior of a Generalized Sprott E Differential System

DOI10.1142/S0218127416500838zbMath1343.34038OpenAlexW2491498576MaRDI QIDQ3187926

Claudia Valls, Regilene D. S. Oliveira

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416500838

zbMATH Keywords

Hopf bifurcationDarboux functionsPoincaré sphereSprott E differential system

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) Explicit solutions, first integrals of ordinary differential equations (34A05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items

A new chaotic system with novel multiple shapes of two-channel attractors, New insights on non-integrability and dynamics in a simple quadratic differential system, Dynamic aspects of Sprott BC chaotic system

Cites Work

• Multiplicity of invariant algebraic curves in polynomial vector fields
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• YET ANOTHER CHAOTIC ATTRACTOR
• A STUDY OF THE COEXISTENCE OF THREE TYPES OF ATTRACTORS IN AN AUTONOMOUS SYSTEM
• Elements of applied bifurcation theory