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Int. J. Bifurc. Chaos最新文献

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A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding 一种基于命题逻辑编码的混沌图像加密算法
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s021812742350089x
Haiping Chang, Erfu Wang, Jia Liu
{"title":"A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding","authors":"Haiping Chang, Erfu Wang, Jia Liu","doi":"10.1142/s021812742350089x","DOIUrl":"https://doi.org/10.1142/s021812742350089x","url":null,"abstract":"This paper proposes a new chaotic system 2D-HLM, which is a combination of Henon map and logistic map. SHA-256 algorithm based on the plaintext image produces the initial value, which enhances the correlation with the plaintext. Therefore, the algorithm avoids the disadvantages of being easily cracked by selected plaintext attacks. The chaotic sequence generated by 2D-HLM is adopted to scramble an image, and the bit plane is extracted and reorganized on the scrambled image. Based on the relationship between two mathematical propositions of the logistic map operations, a novel propositional logic coding algorithm is proposed. The simulation results show that the algorithm has large key space and high key sensitivity, and can resist common attacks such as differential attack.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"25 1","pages":"2350089:1-2350089:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76870066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Managing the Use of Insecticides in Agricultural Fields: A Modeling Study 管理杀虫剂在农业领域的使用:一个模型研究
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500955
A. Misra, A. Yadav
{"title":"Managing the Use of Insecticides in Agricultural Fields: A Modeling Study","authors":"A. Misra, A. Yadav","doi":"10.1142/s0218127423500955","DOIUrl":"https://doi.org/10.1142/s0218127423500955","url":null,"abstract":"At present time, sustainable crop production is of prime importance due to the expansion of human population and diminishing cultivable land. Insects attack the plants’ roots, blooms and leaves and lessen the agricultural production across the globe. In this research work, we propose a nonlinear mathematical model to manage the spray of insecticides to control insect population and increase crop production. In the model formulation, we consider that the spraying of insecticides is attributed to both the density of insects and loss in crop production. This study identifies the range of spraying rate of insecticides at which the model system shows bistability behavior and its threshold value after which system stabilizes to the equilibrium with higher crop production. Further, we have also demonstrated that the model undergoes transcritical, saddle-node, Hopf, and Bogdanov–Takens bifurcations. The extensive numerical simulation is performed to validate the analytical findings.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"40 1","pages":"2350095:1-2350095:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75188953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scaling Analysis at Transition of Chaos Driven by Euler's Numerical Algorithm 由欧拉数值算法驱动的混沌转换的尺度分析
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s021812742350092x
Jinde Cao, Ashish
{"title":"Scaling Analysis at Transition of Chaos Driven by Euler's Numerical Algorithm","authors":"Jinde Cao, Ashish","doi":"10.1142/s021812742350092x","DOIUrl":"https://doi.org/10.1142/s021812742350092x","url":null,"abstract":"Chaos is a nonlinear phenomenon that reveals itself everywhere in nature and in many fields of science. It has gained increasing attention from researchers and scientists over the last two decades. In this article, the nature of the fixed and periodic states are examined for a discrete two-parameter map; a composition of Euler’s numerical map and the logistic map. Further, the dynamical properties such as fixed states, period-doubling, and stability in fixed and periodic states are also described and the onset of chaos is characterized in detail followed by a few lemmas and remarks. Afterward, some scaling methods such as the bifurcation scale, fork-width scale, and Lyapunov exponent are illustrated to examine the appearance of chaos for the discrete two-parameter map. Experimental and numerical simulations are conducted followed by some bifurcation graphs, tables, and remarks. The scaling property is discussed in two key parameters. In addition, a comparative analysis of fork-width length, bifurcation length, and the maximum Lyapunov exponent is also presented to demonstrate the validity of the results.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"32 1","pages":"2350092:1-2350092:13"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86375091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
2D Linear CA with Mixing Boundary Conditions and Reversibility 具有混合边界条件和可逆性的二维线性CA
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500943
Doston Jumaniyozov, J. Casas, M. González, B. Omirov, Shovkat Redjepov
{"title":"2D Linear CA with Mixing Boundary Conditions and Reversibility","authors":"Doston Jumaniyozov, J. Casas, M. González, B. Omirov, Shovkat Redjepov","doi":"10.1142/s0218127423500943","DOIUrl":"https://doi.org/10.1142/s0218127423500943","url":null,"abstract":"In this paper, we consider two-dimensional cellular automata (CA) with the von Neumann neighborhood. We study the characterization of 2D linear cellular automata defined by the von Neumann neighborhood with new type of boundary conditions over the field [Formula: see text]. Furthermore, we investigate the rule matrices of 2D von Neumann CA by applying the group of permutations [Formula: see text]. Moreover, the algorithm for computing the rank of rule matrices is given. Finally, necessary and sufficient conditions for the existence of Garden of Eden configurations for considered two-dimensional cellular automata are obtained.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"29 1","pages":"2350094:1-2350094:19"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91190776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension 具有弱科里奥利效应和表面张力的广义Serre-Green-Naghdi系统的分岔和精确行波解
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423501018
Maoan Han, Guanrong Chen, Jibin Li
{"title":"Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension","authors":"Maoan Han, Guanrong Chen, Jibin Li","doi":"10.1142/s0218127423501018","DOIUrl":"https://doi.org/10.1142/s0218127423501018","url":null,"abstract":"For the generalized Serre–Green–Naghdi system with weak Coriolis effect and surface tension, by using the dynamical system methods and singular traveling wave theory developed by Li and Chen [2007] to its associate traveling wave system, under different parameter conditions, all possible bounded solutions (solitary wave solutions, periodic wave solutions, peakons, periodic peakons as well as compacton solution families) are obtained. Exact explicit parametric representations are given.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"39 1","pages":"2350101:1-2350101:15"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77022050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaotic Behaviors of a Delay Partial Difference Equation with a Delay Controller 带时滞控制器的时滞偏差分方程的混沌行为
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500992
Yong-jin Zhang, Wei Liang, Xuanxuan Zhang
{"title":"Chaotic Behaviors of a Delay Partial Difference Equation with a Delay Controller","authors":"Yong-jin Zhang, Wei Liang, Xuanxuan Zhang","doi":"10.1142/s0218127423500992","DOIUrl":"https://doi.org/10.1142/s0218127423500992","url":null,"abstract":"A delay partial difference equation with a delay controller is studied in this paper. We show that it can lead to both Devaney chaos and Li–Yorke chaos by applying the modified Marotto’s theorem, with three criteria established for generating chaos. Computer simulations of chaotic behaviors and spatiotemporal graphs are performed with three examples.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"1 1","pages":"2350099:1-2350099:13"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77282107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV 三或多自由度哈密顿系统周期轨道划分曲面的推广- IV
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423300203
M. Katsanikas, S. Wiggins
{"title":"The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV","authors":"M. Katsanikas, S. Wiggins","doi":"10.1142/s0218127423300203","DOIUrl":"https://doi.org/10.1142/s0218127423300203","url":null,"abstract":"Recently, we presented two methods of constructing periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a, 2021b]. These methods were illustrated with an application to a quadratic normal form Hamiltonian system with three degrees of freedom. More precisely, in these papers we constructed a section of the dividing surfaces that intersect with the hypersurface [Formula: see text]. This was motivated by studies in reaction dynamics since in this model reaction occurs when the sign of the [Formula: see text] coordinate changes. In this paper, we continue the work of the third paper [Katsanikas & Wiggins, 2023] of this series of papers to construct the full dividing surfaces that are obtained by our algorithms and to prove the no-recrossing property. In the third paper we did this for the dividing surfaces of the first method [Katsanikas & Wiggins, 2021a]. Now we are doing the same for the dividing surfaces of the second method [Katsanikas & Wiggins, 2021b]. In addition, we computed the dividing surfaces of the second method for a coupled case of the quadratic normal form Hamiltonian system and we compared our results with those of the uncoupled case. This paper completes this series of papers about the construction of periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"37 1","pages":"2330020:1-2330020:10"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73912230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcation Behavior Analysis and Stability Region Discrimination for Series-Parallel Architecture Electric Energy Router 串并联结构电能路由器的分岔行为分析及稳定区域判别
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500918
Xiaojun Zhao, Zehui Zhang, Chunjiang Zhang, Xiaohuan Wang, Zhongnan Guo
{"title":"Bifurcation Behavior Analysis and Stability Region Discrimination for Series-Parallel Architecture Electric Energy Router","authors":"Xiaojun Zhao, Zehui Zhang, Chunjiang Zhang, Xiaohuan Wang, Zhongnan Guo","doi":"10.1142/s0218127423500918","DOIUrl":"https://doi.org/10.1142/s0218127423500918","url":null,"abstract":"Electric energy routers (EERs) can effectively deal with the energy management issues caused by the access of multi-sources and multi-loads. Different from the energy transmission form in the existing series architecture EER (SA-EER) for low-voltage distribution networks, a new series-parallel architecture EER (SPA-EER) has the advantages of high-power transmission capability and reactive power flexible operation. However, if controller parameters change beyond their critical stability boundaries, SPA-EER will produce slow- and fast-scale bifurcation behaviors, which are manifested as low- and high-frequency oscillations of port voltages or port currents in varying degrees. To avoid the system instability caused by controller parameter changes, how to discriminate the stability regions of controller parameters for SPA-EER is a key research content in this paper. To this end, the stroboscopic mapping discrete model of SPA-EER system is first established, and system bifurcation behaviors are analyzed based on bifurcation theory. Furthermore, the critical stability boundaries of controller parameters are discriminated by using Jacobian matrix, root locus and bifurcation diagram. After that, a time delay feedback control (TDFC) is employed to suppress system bifurcation behaviors. Finally, the correctness of bifurcation analysis and the effectiveness of TDFC are verified by a hardware-in-the-loop (HIL) experimental platform.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"47 1","pages":"2350091:1-2350091:21"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86383494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain 一种鲁棒混沌映射及其在双频域语音加密中的应用
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500967
Yi-bo Huang, Peng-Wei Xie, Jun-Bin Gao, Qiu-yu Zhang
{"title":"A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain","authors":"Yi-bo Huang, Peng-Wei Xie, Jun-Bin Gao, Qiu-yu Zhang","doi":"10.1142/s0218127423500967","DOIUrl":"https://doi.org/10.1142/s0218127423500967","url":null,"abstract":"When chaotic systems are used for speech encryption, their chaotic performance largely determines the security of speech encryption. However, traditional chaotic systems have problems such as parameter discontinuity, easy occurrence of chaos degradation, low complexity, and the existence of periodic windows in chaotic intervals. In real applications, chaotic mappings may fall into periodic windows, which is extremely unfavorable for security. In this paper, a new chaotic mapping 2D-LMSM is proposed by improving the chaotic logistic and sine mappings, and applied to speech encryption. Performance evaluation shows that this map can effectively generate robust chaotic signals in a wide parameter range. The 2D-LMSM achieves better robustness and desired chaotic properties than several existing two-dimensional chaotic maps. We propose a novel speech encryption algorithm using this map. First, it performs Fast Fourier Transform (FFT) on the input speech signal to obtain real and imaginary values, which are encrypted by one-time scrambling encryption and XOR diffusion encryption with pseudorandom numbers generated by chaos; then, it performs secondary scrambling encryption by Discrete Wavelet Transform (DWT) and 2D-LMSM; finally, it obtains encrypted speech data by Discrete Wavelet Inverse Transform (IDWT) and Fast Fourier Inverse Transform (IFFT). Experimental results show that this algorithm has good encryption and decryption performances and ensures system security.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"53 1","pages":"2350096:1-2350096:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88508142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food 具有Allee效应和附加食物的食物链模型的混沌和双稳定性
Int. J. Bifurc. Chaos Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500979
Nikhilesh Sil, Sudip Samanta
{"title":"Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food","authors":"Nikhilesh Sil, Sudip Samanta","doi":"10.1142/s0218127423500979","DOIUrl":"https://doi.org/10.1142/s0218127423500979","url":null,"abstract":"In this research article, a three-species food chain model with Allee effect and additional food is proposed and analyzed. The Allee effect and additional food are introduced to the top predator population. The dynamical behavior of the system is studied analytically and numerically. We have performed equilibrium analysis and local stability analysis around the non-negative equilibria. We have also explored different bifurcations in the system. We have drawn several one- and two-parameter bifurcation diagrams to explore complex dynamical behaviors. We observe that top predator goes to extinction when Allee parameter crosses a threshold value, whereas additional food enhances the stability and persistence of the system.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"33 1","pages":"2350097:1-2350097:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90560414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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