Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography
A nonlinear chaos generator scheme derived from a mechanical triple pendulum physical system is proposed here. The chaotic behavior of the proposed generator is validated against various standardized tests, such as the Lyapunov exponents test, bifurcation diagrams, sensitivity to parametric and to i...
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IEEE
2022-01-01
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| author | Bikram Paul Souradip Pal Abhishek Agrawal Gaurav Trivedi |
| author_facet | Bikram Paul Souradip Pal Abhishek Agrawal Gaurav Trivedi |
| author_sort | Bikram Paul |
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| description | A nonlinear chaos generator scheme derived from a mechanical triple pendulum physical system is proposed here. The chaotic behavior of the proposed generator is validated against various standardized tests, such as the Lyapunov exponents test, bifurcation diagrams, sensitivity to parametric and to initial values, ergodicity, key space and sensitivity, histogram, correlation, NPCR and UACI, collision test, etc. and compared with existing contemporary methods. The generated chaotic map is utilized to develop various cryptography applications, such as PRNG and symmetric key encryption schemes, which are realized on an FPGA and an ASIC. Chaos-based PRNG is validated successfully using <inline-formula> <tex-math notation="LaTeX">$NIST-SP800$ </tex-math></inline-formula> benchmarks. The proposed encryption scheme illustrates its usage in low power, high throughput applications, where the power consumption, resource utilization, and throughput are <inline-formula> <tex-math notation="LaTeX">$1.785\times $ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$1.825\times $ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$2.396\times $ </tex-math></inline-formula> better than other known contemporary chaos-based encryption methods. The average power and area of its ASIC implementation at 180-nm technology are 61.8836 mW and 0.20374 mm2 at 250 MHz. |
| format | Article |
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| issn | 2169-3536 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | IEEE |
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| spelling | doaj-art-3bf0dc9a59a44db6befafb0c0490e57e2025-08-20T02:33:55ZengIEEEIEEE Access2169-35362022-01-011012707312709310.1109/ACCESS.2022.32265159969592Triple Pendulum Based Nonlinear Chaos Generator and its Applications in CryptographyBikram Paul0https://orcid.org/0000-0003-2751-9702Souradip Pal1https://orcid.org/0000-0002-5781-3032Abhishek Agrawal2Gaurav Trivedi3https://orcid.org/0000-0003-2189-3656Department of Electronics and Electrical Engineering, Indian Institute of Technology at Guwahati, Assam, Guwahati, IndiaSchool of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USACPU Design Engineer in Google Hardware, Bengaluru, Karnataka, IndiaDepartment of Electronics and Electrical Engineering, Indian Institute of Technology at Guwahati, Assam, Guwahati, IndiaA nonlinear chaos generator scheme derived from a mechanical triple pendulum physical system is proposed here. The chaotic behavior of the proposed generator is validated against various standardized tests, such as the Lyapunov exponents test, bifurcation diagrams, sensitivity to parametric and to initial values, ergodicity, key space and sensitivity, histogram, correlation, NPCR and UACI, collision test, etc. and compared with existing contemporary methods. The generated chaotic map is utilized to develop various cryptography applications, such as PRNG and symmetric key encryption schemes, which are realized on an FPGA and an ASIC. Chaos-based PRNG is validated successfully using <inline-formula> <tex-math notation="LaTeX">$NIST-SP800$ </tex-math></inline-formula> benchmarks. The proposed encryption scheme illustrates its usage in low power, high throughput applications, where the power consumption, resource utilization, and throughput are <inline-formula> <tex-math notation="LaTeX">$1.785\times $ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$1.825\times $ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$2.396\times $ </tex-math></inline-formula> better than other known contemporary chaos-based encryption methods. The average power and area of its ASIC implementation at 180-nm technology are 61.8836 mW and 0.20374 mm2 at 250 MHz.https://ieeexplore.ieee.org/document/9969592/Nonlinear systemtriple pendulumchaotic mappseudo random numbersymmetric cryptosystemdifferential state-space model |
| spellingShingle | Bikram Paul Souradip Pal Abhishek Agrawal Gaurav Trivedi Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography IEEE Access Nonlinear system triple pendulum chaotic map pseudo random number symmetric cryptosystem differential state-space model |
| title | Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography |
| title_full | Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography |
| title_fullStr | Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography |
| title_full_unstemmed | Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography |
| title_short | Triple Pendulum Based Nonlinear Chaos Generator and its Applications in Cryptography |
| title_sort | triple pendulum based nonlinear chaos generator and its applications in cryptography |
| topic | Nonlinear system triple pendulum chaotic map pseudo random number symmetric cryptosystem differential state-space model |
| url | https://ieeexplore.ieee.org/document/9969592/ |
| work_keys_str_mv | AT bikrampaul triplependulumbasednonlinearchaosgeneratoranditsapplicationsincryptography AT souradippal triplependulumbasednonlinearchaosgeneratoranditsapplicationsincryptography AT abhishekagrawal triplependulumbasednonlinearchaosgeneratoranditsapplicationsincryptography AT gauravtrivedi triplependulumbasednonlinearchaosgeneratoranditsapplicationsincryptography |