Hopf bifurcation analysis in a Lorenz-type system

DOI10.1007/s11071-012-0655-0zbMath1268.34076OpenAlexW1975918505MaRDI QIDQ354923

Miao Wang, Hong-Wei Li

Publication date: 22 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0655-0

zbMATH Keywords

Hopf bifurcationnew Lorenz-type systemthe first Lyapunov coefficient

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (9)

Analytical and numerical study of Hopf bifurcation scenario for a three-dimensional chaotic system ⋮ Bifurcation analysis for energy transport system and its optimal control using parameter self-tuning law ⋮ Controlling Hopf bifurcation of a new modified hyperchaotic Lü system ⋮ Zero-Hopf bifurcation in a hyperchaotic Lorenz system ⋮ Local Bifurcation Analysis and Global Dynamics Estimation of a Novel 4-Dimensional Hyperchaotic System ⋮ The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ Hopf bifurcation of forced Chen system and its stability via adaptive control with arbitrary parameters ⋮ Super-critical and sub-critical Hopf bifurcations in two and three dimensions

Cites Work

• Hopf bifurcation analysis and numerical simulation in a 4D-hyperchaotic system
• Dynamics of a new Lorenz-like chaotic system
• Elements of applied bifurcation theory.
• Synchronization of Rössler and Chen chaotic dynamical systems using active control
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Dynamical properties and simulation of a new Lorenz-like chaotic system
• A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
• YET ANOTHER CHAOTIC ATTRACTOR
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• BIFURCATIONS IN A PREDATOR-PREY MODEL WITH DIFFUSION AND MEMORY
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

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