In this paper, we discuss anti-synchronization between two identical new chaotic systems and anti-synchronization between another two identical new chaotic systems by active nonlinear control. The sufficient conditions for achieving the anti-synchronization of two new chaotic systems are derived based on Lyapunov stability theory. Numerical simulations are provided for illustration and verification of the proposed method.Key words: anti-synchronization, new chaotic system, active nonlinear control
A. IntroductionIn 1990 Chaos synchronization is a phenomenon that may occur when two or more chaotic oscillators are coupled or when a chaotic oscillator drives another chaotic oscillator. In most of the chaos anti-synchronization approaches, the master -slave or driveresponse is used. A particular chaotic system is called the master or drive system and another chaotic system is called slave or response system. Then idea of chaos antisynchronization is used for the output of the master system to control the slave system so that output of the slave system follow the output of the master system asymptotically. There are different types of method for chaos anti-synchronization of the chaotic nonlinear systems, such as OGY [6]
Amidst increased climatic disasters, persisting social evils, and governance concerns, sustainable finance and its new and innovative financial instruments have gained prominence across stakeholders globally. Green, social sustainability, sustainability‐linked, and transition (collectively GSS+) debt have a market worth USD 3.9 trillion since 2007 (Climate Bonds Initiative, 2018). We provide a comprehensive review of the evolution and future research directions of the sustainable finance research field by analysing overall publication trends, subject categories, co‐authorship networks, keywords, countries and institutions, journal co‐citation, and cluster analysis. Findings include the emergent need for greater collaboration among authors globally. Future research directions include research questions for themes such as carbon emission trading, financial inclusion, reporting of proceeds related to sustainable finance to prevent greenwashing, the impact of climate change and climate finance on sustainable finance, mobilisation of sustainable finance through green bonds, and technological interactions between sustainable finance and blockchain and artificial intelligence. The study also provides implications for the stakeholders.
In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.
In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes for Pan, Lorenz, Lu, Liu, and Cai chaotic systems.
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