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<p>In many nonlinear real-order systems, memory chaos often arises that poses a great difficulty in merging two attractors in large time when two systems start completely different initialized times. We introduce a constructive method that only needs a positive state and, by implementing a nonlinear control law, gives rise to two distinct theorems on synchronization. It is shown that the method has huge potential in synchronizing in memory chaotic systems associated with completely different orders and random initial-time.</p>

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A New Way to Synchronize Memory Chaos

  • 期刊论文

  • 发表日期：

    2025年2月13日

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  • Bichitra Kumar Lenka,
  • Ranjit Kumar Upadhyay

摘要

In many nonlinear real-order systems, memory chaos often arises that poses a great difficulty in merging two attractors in large time when two systems start completely different initialized times. We introduce a constructive method that only needs a positive state and, by implementing a nonlinear control law, gives rise to two distinct theorems on synchronization. It is shown that the method has huge potential in synchronizing in memory chaotic systems associated with completely different orders and random initial-time.