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040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9780429028939
_q(electronic bk.)
020 _a0429028938
_q(electronic bk.)
020 _a9780429650062
020 _a042965006X
020 _a9780429647420
_q(electronic bk. : EPUB)
020 _a0429647425
_q(electronic bk. : EPUB)
020 _a9780429644788
_q(electronic bk. : Mobipocket)
020 _a0429644787
_q(electronic bk. : Mobipocket)
020 _z9780367137045
020 _z0367137046
035 _a(OCoLC)1083229211
035 _a(OCoLC-P)1083229211
050 4 _aQ172.5.C45
_bE44 2019
072 7 _aSCI
_x064000
_2bisacsh
072 7 _aTEC
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072 7 _aMAT
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072 7 _aMAT
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072 7 _aPBWS
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082 0 4 _a003/.857
_223
100 1 _aElhadj, Zeraoulia,
_eauthor.
245 1 0 _aDynamical systems :
_btheories and applications /
_cZeraoulia Elhadj (Department of Mathematics, University of Tébessa, Algeria).
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2019.
300 _a1 online resource
505 0 _aCover; Title Page; Copyright Page; Preface; Table of Contents; Preface; 1: Review of Chaotic Dynamics; 1.1 Introduction; 1.2 Poincaré map technique; 1.3 Smale horseshoe; 1.4 Symbolic dynamics; 1.5 Strange attractors; 1.6 Basins of attraction; 1.7 Density, robustness and persistence of chaos; 1.8 Entropies of chaotic attractors; 1.9 Period 3 implies chaos; 1.10 The Snap-back repeller and the Li-Chen-Marotto theorem; 1.11 Shilnikov criterion for the existence of chaos; 2: Human Immunodeficiency Virus and Urbanization Dynamics; 2.1 Introduction
505 8 _a2.2 Definition of Human Immunodeficiency Virus (HIV)2.3 Modelling the Human Immunodeficiency Virus (HIV); 2.4 Dynamics of sexual transmission of the Human Immunodeficiency Virus; 2.5 The effects of variable infectivity on the HIV dynamics; 2.6 The CD4+ Lymphocyte dynamics in HIV infection; 2.7 The viral dynamics of a highly pathogenic Simian/Human Immunodeficiency Virus; 2.8 The effects of morphine on Simian Immunodeficiency Virus Dynamics; 2.9 The dynamics of the HIV therapy system; 2.10 Dynamics of urbanization; 3: Chaotic Behaviors in Piecewise Linear Mappings; 3.1 Introduction
505 8 _a3.2 Chaos in one-dimensional piecewise smooth maps3.3 Chaos in one-dimensional singular maps; 3.4 Chaos in 2-D piecewise smooth maps; 4: Robust Chaos in Neural Networks Models; 4.1 Introduction; 4.2 Chaos in neural networks models; 4.3 Robust chaos in discrete time neural networks; 4.3.1 Robust chaos in 1-D piecewise-smooth neural networks; 4.3.2 Fragile chaos (blocks with smooth activation function); 4.3.3 Robust chaos (blocks with non-smooth activation function); 4.3.4 Robust chaos in the electroencephalogram model; 4.3.5 Robust chaos in Diluted circulant networks
505 8 _a4.3.6 Robust chaos in non-smooth neural networks4.4 The importance of robust chaos in mathematics and some open problems; 5: Estimating Lyapunov Exponents of 2-D Discrete Mappings; 5.1 Introduction; 5.2 Lyapunov exponents of the discrete hyperchaotic double scroll map; 5.3 Lyapunov exponents for a class of 2-D piecewise linear mappings; 5.4 Lyapunov exponents of a family of 2-D discrete mappings with separate variables; 5.5 Lyapunov exponents of a discontinuous piecewise linear mapping of the plane governed by a simple switching law; 5.6 Lyapunov exponents of a modified map-based BVP model
505 8 _a6: Control, Synchronization and Chaotification of Dynamical Systems6.1 Introduction; 6.2 Compound synchronization of different chaotic systems; 6.3 Synchronization of 3-D continuous-time quadratic systems using a universal non-linear control law; 6.4 Co-existence of certain types of synchronization and its inverse; 6.5 Synchronization of 4-D continuous-time quadratic systems using a universal non-linear control law; 6.6 Quasi-synchronization of systems with different dimensions; 6.7 Chaotification of 3-D linear continuous-time systems using the signum function feedback
520 _aChaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aChaotic behavior in systems.
650 0 _aDynamics.
650 7 _aSCIENCE / System Theory.
_2bisacsh
650 7 _aTECHNOLOGY & ENGINEERING / Operations Research.
_2bisacsh
650 7 _aMATHEMATICS / Arithmetic
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
650 7 _aSCIENCE / Mathematical Physics
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429028939
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c129232
_d129232