Heteroclinic, Homoclinic and Closed Orbits in the Chen System

DOI10.1142/S0218127416500723zbMath1338.34039MaRDI QIDQ2814189

Jaume Llibre, Gheorghe Tigan

Publication date: 20 June 2016

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

zbMATH Keywords

bifurcationsODE systemshomoclinic and heteroclinic orbits

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (14)

Integrable Deformations of Three-Dimensional Chaotic Systems ⋮ Generating Shilnikov chaos in 3D piecewise linear systems ⋮ Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ Hopf bifurcation analysis and existence of heteroclinic orbit and homoclinic orbit in an extended Lorenz system ⋮ The Real-Valued Maxwell–Bloch Equations with Controls: From a Hamilton–Poisson System to a Chaotic One ⋮ HOPF BIFURCATION AND NEW SINGULAR ORBITS COINED IN A LORENZ-LIKE SYSTEM ⋮ The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system ⋮ A novel hyperchaotic system with infinitely many heteroclinic orbits coined ⋮ Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System ⋮ On the Homoclinic Orbits of the Lü System ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY ⋮ Complex Dynamics of a Four-Dimensional Circuit System

Cites Work

• Heteroclinic orbits in the \(T\) and the Lü systems
• Complex dynamics in Chen's system
• Nonlinear dynamics and circuit realization of a new chaotic flow: a variant of Lorenz, Chen and Lü
• GLOBAL DYNAMICS IN THE POINCARÉ BALL OF THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES
• ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM
• DARBOUX POLYNOMIALS AND ALGEBRAIC INTEGRABILITY OF THE CHEN SYSTEM
• CHEN'S ATTRACTOR EXISTS
• Unnamed Item
• Unnamed Item

This page was built for publication: Heteroclinic, Homoclinic and Closed Orbits in the Chen System