Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems

DOI10.1016/j.amc.2009.10.020zbMath1181.93032OpenAlexW2040504874WikidataQ57879464 ScholiaQ57879464MaRDI QIDQ846431

Li-Ping Zhang, Ya-Feng Xia, Jun Ma, Ai-Hua Zhang

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.020

zbMATH Keywords

parameter estimationadaptive synchronizationcontrollergain coefficienthyperchaotic Rössler

Mathematics Subject Classification ID

Related Items (31)

Identification of parameters with different orders of magnitude in chaotic systems ⋮ Adaptive synchronization of coupled nonidentical chaotic systems with complex variables and stochastic perturbations ⋮ Neural adaptive dynamic surface control for uncertain strict-feedback nonlinear systems with nonlinear output and virtual feedback errors ⋮ Lag synchronization of two identical Hindmarsh-Rose neuron systems with mismatched parameters and external disturbance via a single sliding mode controller ⋮ Adaptive fuzzy synchronization for a class of chaotic systems with unknown nonlinearities and disturbances ⋮ Secure communication in wireless sensor networks based on chaos synchronization using adaptive sliding mode control ⋮ Recursive parameter identification of the dynamical models for bilinear state space systems ⋮ Finite-time stability of nonlinear systems with state-dependent delayed impulses ⋮ A time-varying hyperchaotic system and its realization in circuit ⋮ Parameter identification and synchronization of fractional-order chaotic systems ⋮ Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties ⋮ Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system ⋮ Synchronization and circuit simulation of a new double-wing chaos ⋮ Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities ⋮ Synchronization of two different chaotic systems with discontinuous coupling ⋮ A class of initials-dependent dynamical systems ⋮ Phase synchronization between two neurons induced by coupling of electromagnetic field ⋮ Finite-time stochastic synchronization of time-delay neural networks with noise disturbance ⋮ Singular reduced-order observer-based synchronization for uncertain chaotic systems subject to channel disturbance and chaos-based secure communication ⋮ Synchronization transition in degenerate optical parametric oscillators induced by nonlinear coupling ⋮ Robust adaptive finite-time synchronization of two different chaotic systems with parameter uncertainties ⋮ Field coupling benefits signal exchange between colpitts systems ⋮ Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh-Rose neural network ⋮ Robust synchronization of uncertain unified chaotic systems subject to noise and its application to secure communication ⋮ Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller ⋮ Synchronization control between two Chua's circuits via capacitive coupling ⋮ Simplest Megastable Chaotic Oscillator ⋮ Prescribed performance-based backstepping design for synchronization of cross-strict feedback hyperchaotic systems with uncertainties ⋮ A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator ⋮ Estimation of biophysical parameters in a neuron model under random fluctuations ⋮ Finite-time synchronization of chaotic systems with noise perturbation

Cites Work

• Chaos in temporarily destabilized regular systems with the slow passage effect
• Chaos synchronization of coupled neurons with gap junctions
• An adaptive chaos synchronization scheme applied to secure communication
• The synchronization of chaotic systems
• Synchronization of an uncertain unified chaotic system via adaptive control
• Adaptive control and synchronization of a modified Chua's circuit system.
• Adaptive synchronization of uncertain chaotic Colpitts oscillators based on parameter identification
• Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters
• SYNCHRONIZATION TRANSITION INDUCED BY SYNAPTIC DELAY IN COUPLED FAST-SPIKING NEURONS
• Controlling chaos
• SYNCHRONIZATION OF REGULAR AND CHAOTIC OSCILLATIONS: THE ROLE OF LOCAL DIVERGENCE AND THE SLOW PASSAGE EFFECT — A Case Study on Calcium Oscillations
• Synchronization in chaotic systems
• Visualizing the attraction of strange attractors

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