Nonlinear Dynamics: Integrability and ChaosThe contributions in this book represent the current status of the important nonlinear theories in different areas of physics and mathematics by experts with applications in physics and biology. The topics covered include solution, integrability, symmetries and singularity structures, Hirota's bilinearisation, multidimensional solutions, soliton perturbation, discrete and periodic integrable systems, low dimensional chaos, quantum chaos, spatiotemporal chaos, pattern formation and application of soliton and chaos in magnetic systems, electronic circuits, fluids, biological systems etc. |
Contents
From incompleteness to functional equations | 3 |
A test of asymptotic integrability of 1+1 wave | 17 |
Quantum integrability and quantum chaos in | 37 |
Motion of curves and surfaces and nonlinear evolution | 63 |
Angularly global Stokes phenomenon including the Berry | 79 |
Unifying algebraic structures in integrable systems | 95 |
Perturbative methods for the Painlevé test | 117 |
Lax integrability in higher dimensions | 139 |
Dynamics of certain chaotic delayed cellular | 277 |
Quantum nonergodic behaviour | 299 |
Suspension rheology as a paradigm for study | 305 |
Spatiotemporal patterns in arrays of coupled | 327 |
Spatiotemporal bifurcations in coupled sine | 345 |
Plancherel | 361 |
Geometric equivalence of certain discrete | 375 |
Noise assisted kink propagation in pseudo | 389 |
Integrability soliton Painlevè property and all that | 157 |
B Grammaticos and A Ramani | 178 |
Discrete nonlinear Schrödinger equation | 193 |
Thamizharasi Tamizhmani S Kanagavel | 210 |
Discrete | 223 |
Variation and fluctuation dynamics of state variables | 245 |
Localisation in coupled quartic oscillator | 263 |
S Dutta Gupta and Girish S Agarwal | 402 |
Three dimensional viscous fingering instability | 421 |
Anomalous width variation of rarefactive solitary | 427 |
Nonlinear dynamics of DNA with higher order interactions | 445 |
Bifurcations and chaos in railway vehicle dynamics | 459 |
Common terms and phrases
algebra amplitude analysis attractor behaviour Bethe Ansatz bifurcation bilinear form cavity Cayley tree chaotic chiral model circuits classical completely integrable consider corresponding coupled coupled map lattice curve D₂ defined derive differential differential-difference dimensional eigenstates equa equations of motion evolution equations ferromagnetic field Figure fixed point function given Hamiltonian Heisenberg Hirota India information entropy initial conditions interactions Lakshmanan lattice Lax operators Lax pair Lett linear localised Lyapunov exponent magnetic Math matrix method micromaser noise obtained orbit oscillator Painlevé Painlevé equations Painlevé property parameter particles patterns periodic perturbation phase phase space Phys Physics Plancherel propagation quantum chaos quantum integrable resonance satisfies singularity SNAs soliton solution spatial spatio-temporal spin chain stable symmetries t₁ t₂ theory tint tion trajectory transformation travelling wave variable vector zero
Popular passages
Page 387 - Department of Physics and Astronomy, Condensed Matter and Surface Sciences Program, Ohio University, Athens, Ohio 45701, USA.