000			04367cam a2200553Mi 4500
001			9781003042181
003			FlBoTFG
005			20220509193134.0
006			m o d
007			cr |n|||||||||
008			210309s2021 flu ob 001 0 eng d
040			_aOCoLC-P _beng _cOCoLC-P
020			_a9781000346671 _q(electronic bk.)
020			_a1000346676 _q(electronic bk.)
020			_a9781000346657 _q(e-book)
020			_a100034665X
020			_a9781003042181 _q(electronic bk.)
020			_a100304218X _q(electronic bk.)
020			_a9781000346664 _q(electronic bk. : Mobipocket)
020			_a1000346668 _q(electronic bk. : Mobipocket)
020			_z9780367486686
020			_z0367486687
035			_a(OCoLC)1240772181
035			_a(OCoLC-P)1240772181
050		4	_aQ172.5.C45
072		7	_aMAT _x013000 _2bisacsh
072		7	_aMAT _x021000 _2bisacsh
072		7	_aMAT _x029000 _2bisacsh
072		7	_aUB _2bicssc
082	0	4	_a515/.39 _223
100	1		_aTlelo-Cuautle, Esteban, _eauthor.
245	1	0	_aOptimization of integer/fractional order chaotic systems by metaheuristics and their electronic realization _h[electronic resource] / _cEsteban Tlelo-Cuautle, Luis Gerardo de la Fraga, Omar Guillén-Fernández, Alejandro Silva-Juárez.
250			_aFirst edition.
264		1	_aBoca Raton : _bCRC Press ; _bTaylor & Francis Group, _c2021.
300			_a1 online resource
520			_aMathematicians have deviseddifferent chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characteristics can be optimized applying metaheuristics, which basically consists of varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGA), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits. The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy. Single and multi-objective optimization approaches applying metaheuristics are described, as well as their tuning techniques to generate feasible solutions that are suitable for electronic implementation. The book details several applications of chaotic oscillators such as in random bit/number generators, cryptography, secure communications, robotics, and Internet of Things.
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aChaotic behavior in systems.
650		0	_aMathematical optimization.
650		0	_aMetaheuristics.
650		0	_aFractional differential equations.
650		7	_aMATHEMATICS / Graphic Methods _2bisacsh
650		7	_aMATHEMATICS / Number Systems _2bisacsh
650		7	_aMATHEMATICS / Probability & Statistics / General _2bisacsh
700	1		_aFraga, Luis Gerardo de la, _eauthor.
700	1		_aGuillén-Fernández, Omar, _eauthor.
700	1		_aSilva-Juárez, Alejandro, _eauthor.
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781003042181
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c130692 _d130692