Chaos synchronization in generalized Lorenz systems and an application to image encryption

• Chaos synchronization is investigated using generalized Lorenz systems. High-dimensional systems obtained from the generalizations self-synchronize. Synchronizing chaos in high dimensions can enhance efficacy of image encryption. A broader pattern found between and dimensional differences. provides an important analogue modeling nature. Examples synchronization, pervasive throughout natural world, are often awe-inspiring because they tend to transcend our intuition. Synchronization chaotic dynamical systems, which system a quintessential example, even more surprising very defining features include sensitive dependence on initial conditions. It worth pursuing, then, question whether high-dimensional extensions such also exhibit synchronization. This study investigates set inclusion additional Fourier modes. Numerical evidence supports that these self-synchronization. An example application this phenomenon encryption provided. experiments suggest there much than self-synchronization; while setting dimension driver higher receiver does not result perfect synchrony, smaller difference two, closely tends follow driver, leading self-synchronization when their equal.