Hyperchaos generated from the Lorenz chaotic system and its control
From MaRDI portal
Publication:620900
DOI10.1016/j.physleta.2007.02.024zbMath1203.93086OpenAlexW2160307180MaRDI QIDQ620900
Publication date: 20 January 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.02.024
Feedback control (93B52) Linear systems in control theory (93C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaos control for problems involving ordinary differential equations (34H10)
Related Items (70)
Physics-based control education: energy, dissipation, and structure assignments ⋮ On the Caputo-Fabrizio fractal fractional representation for the Lorenz chaotic system ⋮ A new hyperchaotic system and its synchronization ⋮ On the hyperchaotic complex Lü system ⋮ Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications ⋮ Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics ⋮ Fault measurement for SISO system using the chaotic excitation ⋮ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system ⋮ Adaptive set-point tracking of the Lorenz chaotic system using non-linear feedback ⋮ Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems ⋮ Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications ⋮ Dynamical study of a novel 4D hyperchaotic system: an integer and fractional order analysis ⋮ Tracking control and synchronization of the new hyperchaotic Liu system via backstepping techniques ⋮ Adaptive Control and Circuit Simulation of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities ⋮ Qualitative Analysis and Adaptive Control of a Novel 4-D Hyperchaotic System ⋮ A Novel 4-D Hyperchaotic Chemical Reactor System and Its Adaptive Control ⋮ A Novel 5-D Hyperchaotic System with a Line of Equilibrium Points and Its Adaptive Control ⋮ A Novel Highly Hyperchaotic System and Its Adaptive Control ⋮ On the transition to hyperchaos and the structure of hyperchaotic attractors ⋮ Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form ⋮ Hyperchaos control of the hyperchaotic Chen system by optimal control design ⋮ Combination synchronization of three different order nonlinear systems using active backstepping design ⋮ Zero-Hopf bifurcation in a hyperchaotic Lorenz system ⋮ Adaptive modified function projective synchronization between two different hyperchaotic dynamical systems ⋮ A Novel 4-D Hyperchaotic Thermal Convection System and Its Adaptive Control ⋮ Qualitative Study and Adaptive Control of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities ⋮ Hyperchaos, Control, Synchronization and Circuit Simulation of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities ⋮ Complete Synchronization of Hyperchaotic Systems via Novel Sliding Mode Control ⋮ Qualitative Analysis and Properties of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities and Its Adaptive Control ⋮ Analysis, Control and Synchronization of a Novel 4-D Highly Hyperchaotic System with Hidden Attractors ⋮ A fractional-order chaotic system with an infinite number of equilibrium points ⋮ Anti-synchronization of Hyperchaotic Systems via Novel Sliding Mode Control and Its Application to Vaidyanathan Hyperjerk System ⋮ A No-Equilibrium Novel 4-D Highly Hyperchaotic System with Four Quadratic Nonlinearities and Its Adaptive Control ⋮ Unnamed Item ⋮ Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control ⋮ Hyperchaos and Adaptive Control of a Novel Hyperchaotic System with Two Quadratic Nonlinearities ⋮ Hierarchical Bit-Level Image Encryption Based on Chaotic Map and Feistel Network ⋮ Symmetric bursting of focus-focus type in the controlled Lorenz system with two time scales ⋮ Hyperchaos of higher order and its circuit implementation ⋮ ANTI-SYNCHRONIZATION OF UNIFIED HYPERCHAOTIC SYSTEMS ⋮ Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control ⋮ Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors ⋮ Adaptive modified function projective synchronization and parameter identification of uncertain hyperchaotic (chaotic) systems with identical or non-identical structures ⋮ Analysis and control of an SEIR epidemic system with nonlinear transmission rate ⋮ HYPERCHAOTIC SYNCHRONIZATION ⋮ Reduced-order antisynchronization of chaotic systems via adaptive sliding mode control ⋮ Projective synchronization of a new hyperchaotic Lorenz system ⋮ Bifurcations and fast-slow behaviors in a hyperchaotic dynamical system ⋮ Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters ⋮ HYPERCHAOS GENERATED FROM THE UNIFIED CHAOTIC SYSTEM AND ITS CONTROL ⋮ Dynamical properties and synchronization of complex non-linear equations for detuned lasers ⋮ Hidden attractors in a new complex generalised Lorenz hyperchaotic system, its synchronisation using adaptive contraction theory, circuit validation and application ⋮ Hopf Bifurcations, Periodic Windows and Intermittency in the Generalized Lorenz Model ⋮ Cluster synchronization in colored community network with different order node dynamics ⋮ On new chaotic and hyperchaotic systems: A literature survey ⋮ ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS ⋮ A HYPERCHAOTIC SYSTEM WITH A FOUR-WING ATTRACTOR ⋮ Analysis, adaptive control and synchronization of a novel 4-D hyperchaotic hyperjerk system and its SPICE implementation ⋮ Analysis, Adaptive Control and Synchronization of a Novel 4-D Hyperchaotic Hyperjerk System via Backstepping Control Method ⋮ Hyperchaos, adaptive control and synchronization of a novel 4-D hyperchaotic system with two quadratic nonlinearities ⋮ The energy resources system with parametric perturbations and its hyperchaos control ⋮ GENERATING HYPERCHAOTIC ATTRACTORS WITH THREE POSITIVE LYAPUNOV EXPONENTS VIA STATE FEEDBACK CONTROL ⋮ HYPERCHAOTIC SYNCHRONIZATION UNDER SQUARE SYMMETRY ⋮ Comparison of feedback control methods for a hyperchaotic Lorenz system ⋮ A simple observer design of the generalized Lorenz chaotic systems ⋮ Generalized projective synchronization for different hyperchaotic dynamical systems ⋮ Seasonally perturbed prey-predator ecological system with the Beddington-DeAngelis functional response ⋮ DIMENSIONALITY REDUCTION FOR SENSORY DATASETS BASED ON MASTER–SLAVE SYNCHRONIZATION OF LORENZ SYSTEM ⋮ Unnamed Item ⋮ On Techniques Towards Chaos Preservation and Construction
Cites Work
- An equation for hyperchaos
- Bifurcation analysis and linear control of the Newton--Leipnik system
- Global linear feedback control for the generalized Lorenz system
- Determining Lyapunov exponents from a time series
- Preturbulence: A regime observed in a fluid flow model of Lorenz
- A new chaotic attractor
- A stabilization method of chaotic systems based on full delayed feedback controller design
- Chaos control for the family of Rössler systems using feedback controllers
- Controlling hyperchaos in the new hyperchaotic Chen system
- Hyperchaos evolved from the generalized Lorenz equation
This page was built for publication: Hyperchaos generated from the Lorenz chaotic system and its control
