logy to solve several important eng

logy to solve several important engineering problems, especially in the security field ofcommunication. In thepreviousreports[4–6], the authorsused thecontinuouschaotic systems withwell-designed synchronization controllers to achieve the secure communication. However, in practical circuit implementations for continuous chaotic systems, analog components, such as operational amplifier (OPA), resistors, capacitors are necessary. Unfortunately, these analog components are sensitivetoenvironmentalconditionsandoftenresultincircuitinstability. Ontheotherhand,owingto theprogressofmicrocontrollerswithdigitalsignalprocessing(DSP)technology,usingmicrocontrollers to replace the analog circuits has become more and more popular and important. Discrete chaotic systems implemented by the microcontroller are more robust and less susceptible to temperature variation and component aging but also at a lower price. Therefore, to solve the problem of instability of analog circuits, we need to study the discrete chaotic systems realized by microcontrollers. Until now, the applications of discrete chaotic systems to solve image encryption have been proposed in References [7,8]. However, the synchronization control problem of discrete chaotic systems has not been well solved in these studies. In addition, to the best of our knowledge, using discrete chaotic systems to design the synchronized large-scale CRNGs has not been well discussed. Furthermore, recently, due to the advent of quantum computers, many traditional encryption methods may become unsafe. The encryption can be quickly cracked by quantum computers. Because the chaos system has rich dynamic characteristics, it can generate a large amount of random signals in a very short time and many scholars have pointed out that chaotic encryption method may be one of the solutions against the attack of quantum computers [16,17].

結果 (繁體中文) 1:

遲緩解決的幾個重要的工程問題，特別是在安全網絡場ofcommunication。在thepreviousreports [4-6]時，authorsused thecontinuouschaotic系統與
精心設計的同步控制器，以實現安全通信。然而，在實際電路實現連續混沌系統，模擬組件，例如運算擴增fi er（OPA），電阻器，電容器是必要的。不幸的是，這些模擬組件sensitivetoenvironmentalconditionsandoftenresultincircuitinstability。Ontheotherhand，owingto theprogressofmicrocontrollerswithdigitalsignalprocessing（DSP）技術，usingmicrocontrollers取代模擬電路變得越來越普遍和重要。由微控制器執行的離散混沌系統更健壯，對溫度變化和元件老化，而且以較低的價格較不敏感。因此，為了解決模擬電路的不穩定性的問題，我們需要研究通過微控制器實現了離散混沌系統。到現在為止，離散混沌系統，解決圖像加密的應用已經在參考文獻[7,8]提出。然而，離散混沌系統的同步控制問題一直沒有得到很好的在這些研究解決。此外，據我們所知，使用離散混沌系統設計同步大型CRNGs還沒有得到很好的討論。此外，近來，由於量子計算機的出現，許多傳統加密方法可能變得不安全。加密可以通過量子計算機可以快速破解。由於混沌系統具有豐富的動態特性，

結果 (繁體中文) 2:

Tipping is usually included in the bill in Italy

結果 (繁體中文) 3:

解决幾個重要的工程問題，特別是在通信安全領域。在先前的報告[4-6]中，作者使用了連續混沌系統
設計良好的同步控制器，實現安全通信。然而，在連續混沌系統的實際電路實現中，需要類比元件，如運算放大器（OPA）、電阻、電容等。不幸的是，這些類比元件對環境條件和環境的不連續性非常敏感。另一方面，隨著微控制器應用數位信號處理（DSP）科技的發展，用微控制器代替類比電路變得越來越普遍和重要。由微控制器實現的離散混沌系統具有較强的魯棒性，對溫度變化和元件老化的敏感性較小，但價格較低。囙此，為了解决類比電路的不穩定性問題，需要研究由單片機實現的離散混沌系統。迄今為止，文獻[7,8]提出了離散混沌系統在影像加密中的應用。然而，這些研究並沒有很好地解决離散混沌系統的同步控制問題。此外，據我們所知，利用離散混沌系統來設計同步的大規模crng還沒有得到很好的討論。此外，最近，由於量子電腦的出現，許多傳統的加密方法可能變得不安全。量子電腦可以很快破解加密。由於混沌系統具有豐富的動力學特性，它能在很短的時間內產生大量的隨機信號，許多學者指出混沌加密方法可能是對抗量子電腦攻擊的解決方案之一[16,17]。