Directions In Chaos - Volume 1Bailin Hao This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena. |
Contents
1 | |
NONLINEAR RESONANCE AND CHAOS IN CONSERVATIVE SYSTEMS | 17 |
GENERALIZED RENORMALIZATION GROUP ANALYSIS OF PERIODDOUBLING BIFURCATIONS | 91 |
APPLICATION OF DIMENSION ALGORITHMS TO EXPERIMENTAL CHAOS | 122 |
Emergence of chaos in Laser Systems and the Development of Diagnostic Techniques | 148 |
THE MORSE OSCILLATOR | 164 |
TRANSITIONS TO CHAOS IN HIGHER DIMENSIONS | 206 |
PhenomenologyofSpatioTerriporal Chaos | 272 |
Common terms and phrases
algorithm amplitude approximation area-preserving maps asymptotic attractor bifurcation path bifurcation point bistability cellular automata chaos chaotic behavior circle map complex convergence coordinate coupling curve data points defined degrees of freedom deterministic dimension dimensional discuss domain doubling eigenvalues energy equations example experimental finite fixed maps fixed point frequency gauge function given Hamiltonian harmonic oscillator initial condition integrable intermittency iterations Jacobian matrix kinks laser Lett logistic lattice logistic map M-cycle modulation Morse oscillator motion nonlinear dynamics observed orbit pattern period period-2 period-doubling bifurcation period-doubling sequence perturbation phase space Phys physical plot pointwise dimension preceding figure problem propagation quantum quasiperiodic random renormalization group resonance zones semiclassical separatrix shown signal soliton solutions space-time spatially-extended stable regions structure surface symmetry symplectic maps torus trajectory transformation transient transition turbulence unstable values variables volume-preserving maps zigzag α α