Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach /: a finite-time Lyapunov exponents approach. (2017)

• Record Type: Book
• Further Information: Note: Juan C. Vallejo, Miguel A.F. Sanjuan.
• Authors: Vallejo, Juan C; Sanjuán, Miguel A. F (Miguel Angel Fernández)
• Contents: Preface; Contents; Acronyms; 1 Forecasting and Chaos; 1.1 Historical Introduction; 1.1.1 The Scientific Method; 1.1.2 Forecasting and Determinism; 1.2 Chaotic Dynamics; 1.3 Computer Numerical Explorations; 1.3.1 Solving ODEs Numerically; 1.3.2 Numerical Forecast; 1.3.3 Symplectic Integrators; 1.4 Shadowing and Predictability; 1.5 Concluding Remarks; References; 2 Lyapunov Exponents; 2.1 Lyapunov Exponents; 2.2 The Lyapunov Spectrum; 2.3 The Lyapunov Exponents Family; 2.4 Finite-Time Exponents; 2.5 Distributions of Finite-Time Exponents; 2.6 The Harmonic Oscillator; 2.7 The Rössler System. 2.8 The Hénon-Heiles System2.9 Concluding Remarks; References; 3 Dynamical Regimes and Time Scales; 3.1 Temporal Evolution; 3.2 Regimes Identification; 3.3 Transient Behaviours, Sticky Orbits and Transient Chaos; 3.4 The Hénon-Heiles System; 3.5 The Contopoulos System; 3.6 The Rössler System; 3.7 Hyperbolicity Characterisation Through Finite-Time Exponents; 3.8 Concluding Remarks; References; 4 Predictability; 4.1 Numerical Predictability; 4.2 The Predictability Index; 4.2.1 The Hénon-Heiles System; 4.2.2 The Contopoulos System; 4.2.3 The Rössler System; 4.2.4 A Galactic System. 4.3 Concluding RemarksReferences; A Numerical Calculation of Lyapunov Exponents; A.1 The Variational Equation; A.2 Selection of Initial Perturbations; A.3 Other Methods; A.4 Practical Implementation for Building the Finite-Time Distributions; References.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 003/.857; Physics; Chaotic behavior in systems -- Mathematical models; SCIENCE -- System Theory; Chaotic behavior in systems -- Mathematical models; Science -- Mathematical Physics; Science -- Astrophysics & Space Science; Mathematics -- Applied; Mathematical physics; Astronautics; Mathematical modelling; Astrophysics; Science -- Chaotic Behavior in Systems; Nonlinear science; Electronic books
• Languages: English
• ISBNs: 9783319518930; 3319518933
• Related ISBNs: 9783319518923; 3319518925
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 10, 2017).
• 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).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.