A mathematical modeling approach from nonlinear dynamics to complex systems. (2018)
- Record Type:
- Book
- Title:
- A mathematical modeling approach from nonlinear dynamics to complex systems. (2018)
- Main Title:
- A mathematical modeling approach from nonlinear dynamics to complex systems
- Further Information:
- Note: Elbert E.N. Macau, editor.
- Other Names:
- Macau, Elbert E. N
- Contents:
- Intro; Preface; Contents; 1 From Nonlinear Dynamics to Complex Systems: Introduction; References; 2 An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws; 2.1 Introduction; 2.2 Conservation Laws; 2.3 Equivalence Transformations; 2.4 Lie Symmetries; 2.4.1 Case 1: n ≠1, 12; 2.4.2 Case 2: n=1; 2.4.3 Case 3: n= 12; 2.5 Reduced Equations: Some Travelling Wave Solutions; 2.6 Conclusions; References; 3 On Symmetries and Conservation Laws for a Generalized Fisher-Kolmogorov-Petrovsky-Piskunov Equation; 3.1 Introduction 3.2 Lie Symmetries, Optimal Systems, and Reductions3.2.1 Some Further Reductions and Exact Solutions; 3.2.1.1 ODE1; 3.2.1.2 ODE3; 3.2.1.3 ODE4; 3.2.1.4 ODE5; 3.2.1.5 ODE8; 3.2.1.6 ODE10; 3.2.1.7 ODE11; 3.2.1.8 ODE13; 3.2.2 Conservation Laws for Eq.(3.3); 3.3 Classical Potential Symmetries; 3.3.1 Classical Potential Symmetries for a Particular Case of Eq.(3.3); 3.4 Conclusions; References; 4 Tunable Orbits Influence in a Driven Stadium-Like Billiard; 4.1 Introduction; 4.2 The Stadium-Like Billiard, the Mapping and Chaotic Properties; 4.3 Resonance, Ensemble Separation, and Tunable Orbits 4.3.1 Resonance4.3.2 Ensemble Separation; 4.3.3 Tunable Orbits; 4.3.4 Lyapunov Exponents; 4.4 Final Remarks; References; 5 Intermittency and Transport Barriers in Fluids and Plasmas; 5.1 Introduction; 5.2 Transport Barriers in Nonintegrable Dynamical Systems; 5.2.1 Symplectic Maps; 5.2.2 Numerical Results; 5.3 Hyperchaos and Intermittency in 3DIntro; Preface; Contents; 1 From Nonlinear Dynamics to Complex Systems: Introduction; References; 2 An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws; 2.1 Introduction; 2.2 Conservation Laws; 2.3 Equivalence Transformations; 2.4 Lie Symmetries; 2.4.1 Case 1: n ≠1, 12; 2.4.2 Case 2: n=1; 2.4.3 Case 3: n= 12; 2.5 Reduced Equations: Some Travelling Wave Solutions; 2.6 Conclusions; References; 3 On Symmetries and Conservation Laws for a Generalized Fisher-Kolmogorov-Petrovsky-Piskunov Equation; 3.1 Introduction 3.2 Lie Symmetries, Optimal Systems, and Reductions3.2.1 Some Further Reductions and Exact Solutions; 3.2.1.1 ODE1; 3.2.1.2 ODE3; 3.2.1.3 ODE4; 3.2.1.4 ODE5; 3.2.1.5 ODE8; 3.2.1.6 ODE10; 3.2.1.7 ODE11; 3.2.1.8 ODE13; 3.2.2 Conservation Laws for Eq.(3.3); 3.3 Classical Potential Symmetries; 3.3.1 Classical Potential Symmetries for a Particular Case of Eq.(3.3); 3.4 Conclusions; References; 4 Tunable Orbits Influence in a Driven Stadium-Like Billiard; 4.1 Introduction; 4.2 The Stadium-Like Billiard, the Mapping and Chaotic Properties; 4.3 Resonance, Ensemble Separation, and Tunable Orbits 4.3.1 Resonance4.3.2 Ensemble Separation; 4.3.3 Tunable Orbits; 4.3.4 Lyapunov Exponents; 4.4 Final Remarks; References; 5 Intermittency and Transport Barriers in Fluids and Plasmas; 5.1 Introduction; 5.2 Transport Barriers in Nonintegrable Dynamical Systems; 5.2.1 Symplectic Maps; 5.2.2 Numerical Results; 5.3 Hyperchaos and Intermittency in 3D Rayleigh-Bénard Convection; 5.3.1 Rayleigh-Bénard Convection and Numerical Methods; 5.3.1.1 Lyapunov Exponents; 5.3.2 Numerical Results; 5.3.2.1 Hyperchaotic Intermittency; 5.4 Conclusions; References 6 An Investigation of the Chaotic Transient for a Boundary Crisis in the Fermi-Ulam Model6.1 Introduction; 6.2 The Model and the Map; 6.2.1 Nondissipative Case; 6.2.2 Dissipative Case; 6.3 Boundary Crisis Characterization; 6.4 Conclusions; Appendix; References; 7 New Trends in Chaos-Based Communications and SignalProcessing; 7.1 Introduction; 7.2 Chaotic Fingerprint for Physical Layer Authentication; 7.2.1 System Overview and Security Requirements; 7.2.2 The Authentication Protocol; 7.2.3 Results; 7.3 Spectral Properties of the Orbits of the Hénon Map; 7.3.1 The Hénon Map 7.3.2 Autocorrelation Sequences and Power Spectral Density7.4 Lyapunov Exponents of a Filtered Hénon Map; 7.4.1 Hénon Map with a Linear Filter; 7.4.2 Lyapunov Exponents for NS=1 and NS=2; 7.5 A Switching Scheme Between Conventional and Chaos-Based Communication Systems; 7.5.1 Problem Formulation; 7.5.2 Message Encoding; 7.5.3 Equalization and Switching Algorithm; 7.5.4 Numerical Simulation; 7.6 Conclusions; References; 8 Modeling Fireflies Synchronization; 8.1 Introduction; 8.2 Explanation of the Entrainment in Fireflies; 8.3 First Models: How to Explain Collective Behavior? … (more)
- Publisher Details:
- Cham : Springer
- Publication Date:
- 2018
- Extent:
- 1 online resource
- Subjects:
- 003/.75
Engineering
Nonlinear systems
SCIENCE / System Theory
TECHNOLOGY & ENGINEERING / Operations Research
Nonlinear systems
Science -- Chaotic Behavior in Systems
Mathematics -- Applied
Technology & Engineering -- Mechanical
Nonlinear science
Mathematical modelling
Dynamics & vibration
Vibration
Technology & Engineering -- General
Cybernetics & systems theory
Electronic books - Languages:
- English
- ISBNs:
- 9783319785127
3319785125 - Related ISBNs:
- 9783319785110
- Notes:
- Note: Includes bibliographical references and index.
Note: Online resource; title from PDF title page (EBSCO, viewed June 19, 2018) - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Physical Locations:
- British Library HMNTS - ELD.DS.348057
- Ingest File:
- 01_302.xml