On dynamics analysis of a novel three-scroll chaotic attractor

DOI10.1016/j.jfranklin.2009.10.018zbMath1193.34088OpenAlexW2009674677MaRDI QIDQ964335

Lin Pan, Wu-Neng Zhou, Jian-an Fang

Publication date: 15 April 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2009.10.018

zbMATH Keywords

Lorenz attractorTS fuzzy modelchaotic systemRössler attractorChen attractor

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

A true three-scroll chaotic attractor coined ⋮ HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM ⋮ Periodic Orbits Bifurcating from a Nonisolated Zero–Hopf Equilibrium of Three-Dimensional Differential Systems Revisited ⋮ One input control for exponential synchronization in generalized Lorenz systems with uncertain parameters ⋮ Synchronization of memristor-based recurrent neural networks with two delay components based on second-order reciprocally convex approach ⋮ Dynamics of the general Lorenz family ⋮ Sinusoidal disturbance rejection in chaotic planar oscillators ⋮ Nonlinear analysis of a novel three-scroll chaotic system ⋮ On new chaotic and hyperchaotic systems: A literature survey ⋮ Adaptive consensus of wireless sensor networks under local measurement by a sink node

Cites Work

• A three-scroll chaotic attractor
• On dynamics analysis of a new chaotic attractor
• Connecting the Lorenz and Chen systems via nonlinear control
• TS fuzzy realization of chaotic Lü system
• Controlling uncertain Lü system using linear feedback.
• Synchronization of an uncertain unified chaotic system via adaptive control
• An equation for continuous chaos
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
• BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
• A NEW CHAOTIC ATTRACTOR COINED
• Controlling Chen's chaotic attractor using backstepping design based on parameters identification

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