New Chaotic Regimes in the Lorenz and Chen Systems

DOI10.1142/S0218127415500339zbMath1309.34008MaRDI QIDQ5246703

Julien Clinton Sprott

Publication date: 22 April 2015

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

zbMATH Keywords

symmetrychaosattractor

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) 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 (10)

On differences and similarities in the analysis of Lorenz, Chen, and Lu systems ⋮ Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity ⋮ A Tribute to J. C. Sprott ⋮ Experimental verification of optimized multiscroll chaotic oscillators based on irregular saturated functions ⋮ Unnamed Item ⋮ Coexisting Attractors in a Physically Extended Lorenz System ⋮ Multi-stability in symmetric systems ⋮ Multi-stability in conditional symmetric systems ⋮ Multi-stability in self-reproducing systems ⋮ Multi-stability detection in chaotic systems

Cites Work

• Hopf bifurcation analysis in the \(T\) system
• Analysis of a 3D chaotic system
• On the generalized Lorenz canonical form
• GLOBAL DYNAMICS OF THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
• Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
• Dynamics of the Lorenz system having an invariant algebraic surface
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• LOCAL BIFURCATIONS OF THE CHEN SYSTEM
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

This page was built for publication: New Chaotic Regimes in the Lorenz and Chen Systems