| Description |
1 online resource (428 pages) |
| Series |
Advanced Series in Nonlinear Dynamics |
|
Advanced series in nonlinear dynamics.
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| Contents |
Preface ; CHAPTER 1 COMPUTATIONAL STUDIES OF DISCRETE BREATHERS ; 1 Introduction ; 2 A bit on numerics of solving ODEs ; 3 Observing and analyzing breathers in numerical runs ; 3.1 Targeted initial conditions ; 3.2 Breathers in transient processes |
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3.3 Breathers in thermal equilibrium 4 Obtaining breathers up to machine precision: Part I ; 4.1 Method No. 1 -- designing a map ; 4.2 Method No. 2 -- saddles on the rim with space-time separation ; 4.3 Method No. 3 -- homoclinic orbits with time-space separation |
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5 Obtaining breathers up to machine precision: Part II 5.1 Method No. 4 -- Newton in phase space ; 5.2 Method No. 5 -- steepest descent in phase space ; 5.3 Symmetries ; 6 Perturbing breathers ; 6.1 Linear stability analysis ; 6.2 Plane wave scattering |
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7 Breathers in dissipative systems 7.1 Obtaining dissipative breathers ; 7.2 Perturbing dissipative breathers ; 8 Computing quantum breathers ; 8.1 The dimer ; 8.2 The trimer ; 8.3 Quantum roto-breathers ; 9 Some applications instead of conclusions ; Acknowledgments ; References |
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CHAPTER 2 VIBRATIONAL SPECTROSCOPY AND QUANTUM LOCALIZATION 1 Introduction ; 1.1 Nonlinear dynamics and energy localization ; 1.2 Nonlinear dynamics and vibrational spectroscopy ; 2 Vibrational spectroscopy techniques ; 2.1 Some definitions ; 2.2 Optical techniques |
| Summary |
This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems. Contents: Computational Stud |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Energy transfer.
|
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Josephson junctions.
|
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Molecular dynamics.
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Energy transfer
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Josephson junctions
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Molecular dynamics
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| Form |
Electronic book
|
| Author |
Litvak-Hinenzon, Anna
|
|
MacKay, Robert
|
|
Spanoudaki, Anna
|
| LC no. |
2004274890 |
| ISBN |
9789812794864 |
|
9812794867 |
|
1281934755 |
|
9781281934758 |
|
9786611934750 |
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6611934758 |
|
